J. J. Randall, L. Katz, and R. Ward, J. Am. Chem. Soc, vol.79, p.266, 1957.

B. J. Kim, H. Jin, S. J. Moon, J. Kim, B. Park et al., Phys. Rev. Lett, vol.101, p.76402, 2008.

C. Martins, M. Aichhorn, L. Vaugier, and S. Biermann, Phys. Rev. Lett, vol.107, p.266404, 2011.

J. Kim, D. Casa, M. H. Upton, T. Gog, Y. Kim et al., Phys. Rev. Lett, vol.108, p.177003, 2012.

A. De-la-torre, S. Walker, F. Y. Bruno, S. Riccó, Z. Wang et al., Phys. Rev. Lett, vol.115, p.176402, 2015.

V. Brouet, J. Mansart, L. Perfetti, C. Piovera, I. Vobornik et al., Phys. Rev. B, vol.92, p.81117, 2015.

K. Terashima, M. Sunagawa, H. Fujiwara, T. Fukura, M. Fujii et al., Phys. Rev. B, vol.96, p.41106, 2017.

J. Nichols, N. Bray-ali, A. Ansary, G. Cao, and K. Ng, Phys. Rev. B, vol.89, p.85125, 2014.

H. Zhang, K. Haule, and D. Vanderbilt, Phys. Rev. Lett, vol.111, p.246402, 2013.

H. Watanabe, T. Shirakawa, and S. Yunoki, Phys. Rev. Lett, vol.110, p.27002, 2013.

Y. Yang, W. Wang, J. Liu, H. Chen, J. Dai et al., Phys. Rev. B, vol.89, p.94518, 2014.

Y. K. Kim, N. H. Sung, J. D. Denlinger, and B. J. Kim, Nat. Phys, vol.12, p.37, 2015.

Y. J. Yan, M. Q. Ren, H. C. Xu, B. P. Xie, R. Tao et al., Phys. Rev. X, vol.5, p.41018, 2015.

M. K. Crawford, M. A. Subramanian, R. L. Harlow, J. A. Fernandez-baca, Z. R. Wang et al., Phys. Rev. B, vol.49, p.9198, 1994.

T. Vogt and D. Buttrey, J. Solid State Chem, vol.123, p.186, 1996.

D. J. Singh, P. Blaha, K. Schwarz, and J. O. Sofo, Phys. Rev. B, vol.65, p.155109, 2002.

K. Rossnagel and N. V. Smith, Phys. Rev. B, vol.73, p.73106, 2006.

H. J. Xiang and M. Whangbo, Phys. Rev. B, vol.75, p.52407, 2007.

Y. K. Kim, O. Krupin, J. D. Denlinger, A. Bostwick, E. Rotenberg et al., Science, vol.345, p.187, 2014.

G. Kotliar, S. Y. Savrasov, G. Pálsson, and G. Biroli, Phys. Rev. Lett, vol.87, p.186401, 2001.

A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys, vol.68, p.13, 1996.

A. Hampel, C. Piefke, and F. Lechermann, Phys. Rev. B, vol.92, p.85141, 2015.

H. Wang, S. Yu, and J. Li, Phys. Rev. B, vol.91, p.165138, 2015.

H. Jin, H. Jeong, T. Ozaki, and J. Yu, Phys. Rev. B, vol.80, p.75112, 2009.

J. Carter, V. Shankar, V. , and H. Kee, Phys. Rev. B, vol.88, p.35111, 2013.

H. Watanabe, T. Shirakawa, and S. Yunoki, Phys. Rev. Lett, vol.105, p.216410, 2010.

P. Seth, I. Krivenko, M. Ferrero, and O. Parcollet, Comput. Phys. Commun, vol.200, p.274, 2016.

P. Werner, A. Comanac, L. De'-medici, M. Troyer, and A. J. Millis, Phys. Rev. Lett, vol.97, p.76405, 2006.

, PSEUDOGAP AND ELECTRONIC STRUCTURE OF ? PHYSICAL REVIEW B, vol.97, p.155109, 2018.

P. Werner and A. J. Millis, Phys. Rev. B, vol.74, p.155107, 2006.

E. Gull, A. J. Millis, A. I. Lichtenstein, A. N. Rubtsov, M. Troyer et al., Rev. Mod. Phys, vol.83, p.349, 2011.

O. Parcollet, M. Ferrero, T. Ayral, H. Hafermann, I. Krivenko et al., Comput. Phys. Commun, vol.196, p.398, 2015.

H. J. Vidberg and J. W. Serene, J. Low Temp. Phys, vol.29, p.179, 1977.

O. Gunnarsson, T. Schäfer, J. P. Leblanc, E. Gull, J. Merino et al., Phys. Rev. Lett, vol.114, p.236402, 2015.

W. Wu, M. Ferrero, A. Georges, and E. Kozik, Phys. Rev. B, vol.96, p.41105, 2017.

E. Gull, A. J. Millis, A. I. Lichtenstein, A. N. Rubtsov, M. Troyer et al., Rev. Mod. Phys, vol.83, p.349, 2011.

A. N. Rubtsov and A. I. Lichtenstein, J. Exp. Theor. Phys. Lett, vol.80, p.61, 2004.

A. N. Rubtsov, V. V. Savkin, and A. I. Lichtenstein, Phys. Rev. B, vol.72, p.35122, 2005.

E. Gull, P. Werner, O. Parcollet, and M. Troyer, Europhys. Lett, vol.82, p.57003, 2008.

P. Werner, A. Comanac, L. De'-medici, M. Troyer, and A. J. Millis, Phys. Rev. Lett, vol.97, p.76405, 2006.

P. Werner and A. J. Millis, Phys. Rev. B, vol.74, p.155107, 2006.

A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys, vol.68, p.13, 1996.

G. Kotliar, S. Y. Savrasov, K. Haule, V. S. Oudovenko, O. Parcollet et al., Rev. Mod. Phys, vol.78, p.865, 2006.

M. H. Hettler, A. N. Tahvildar-zadeh, M. Jarrell, T. Pruschke, and H. R. Krishnamurthy, Phys. Rev. B, vol.58, p.7475, 1998.

A. I. Lichtenstein and M. I. Katsnelson, Phys. Rev. B, vol.62, p.9283, 2000.

G. Kotliar, S. Y. Savrasov, G. Pálsson, and G. Biroli, Phys. Rev. Lett, vol.87, p.186401, 2001.

T. Maier, M. Jarrell, T. Pruschke, and M. H. Hettler, Rev. Mod. Phys, vol.77, p.1027, 2005.

M. Troyer and U. Wiese, Phys. Rev. Lett, vol.94, p.170201, 2005.

J. P. Leblanc, A. E. Antipov, F. Becca, I. W. Bulik, and G. K. ,

C. Chan, Y. Chung, M. Deng, T. M. Ferrero, C. A. Henderson et al., on the Many-Electron Problem), Phys. Rev. X, vol.5, p.41041, 2015.

N. V. and B. V. Svistunov, Phys. Rev. Lett, vol.81, p.2514, 1998.

N. and B. Svistunov, Phys. Rev. Lett, vol.99, p.250201, 2007.

E. Kozik, K. V. Houcke, E. Gull, L. Pollet, N. Prokof'ev et al., Europhys. Lett, vol.90, p.10004, 2010.

K. V. Houcke, E. Kozik, N. , and B. Svistunov, Computer Simulations Studies in Condensed Matter Physics XXI, vol.6, p.95, 2010.

E. Bourovski, N. , and B. Svistunov, Phys. Rev. B, vol.70, p.193101, 2004.

K. Van-houcke, F. Werner, E. Kozik, N. Prokof'ev, B. Svistunov et al., Nat. Phys, vol.8, p.366, 2012.

E. Burovski, N. Prokof'ev, B. Svistunov, and M. Troyer, Phys. Rev. Lett, vol.96, p.160402, 2006.

J. Gukelberger, L. Huang, and P. Werner, Phys. Rev. B, vol.91, p.235114, 2015.

Y. Deng, E. Kozik, N. V. Prokof'ev, and B. V. Svistunov, Europhys. Lett, vol.110, p.57001, 2015.

F. ?imkovic, X. Liu, Y. Deng, and E. Kozik, Phys. Rev. B, vol.94, p.85106, 2016.

F. ?imkovic, Y. Deng, N. V. Prokof'ev, B. V. Svistunov, I. S. Tupitsyn et al., Phys. Rev. B, vol.96, p.81117, 2017.

W. Wu, M. Ferrero, A. Georges, and E. Kozik, Phys. Rev. B, vol.96, p.41105, 2017.

R. Rossi, Phys. Rev. Lett, vol.119, p.45701, 2017.

R. E. Profumo, C. Groth, L. Messio, O. Parcollet, and X. Waintal, Phys. Rev. B, vol.91, p.245154, 2015.

R. Rossi, N. Prokof'ev, B. Svistunov, K. V. Houcke, and F. Werner, Europhys. Lett, vol.118, p.10004, 2017.

R. Bulla, A. C. Hewson, and T. Pruschke, J. Phys.: Condens. Matter, vol.10, p.8365, 1998.

N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys, vol.21, p.1087, 1953.

R. Rossi, F. Werner, N. , and B. Svistunov, Phys. Rev. B, vol.93, p.161102, 2016.

R. Blankenbecler, D. J. Scalapino, and R. L. Sugar, Phys. Rev. D, vol.24, p.2278, 1981.

F. Simkovic, I. V. , and E. Kozik,

O. Parcollet, M. Ferrero, T. Ayral, H. Hafermann, I. Krivenko et al., Comput. Phys. Commun, vol.196, p.398, 2015.

, To verify that the error bars on the density are not due to this normalization factor, we plot its relative error bars in Fig. 4. Blue dots denote the ± algorithm, orange stars the LO algorithm, and green dots the mixed algorithm, APPENDIX C: ORIGIN OF ERROR BAR We have seen in Sec

R. M. Potok, I. G. Rau, H. Shtrikman, Y. Oreg, and D. Goldhaber-gordon, Nature, vol.446, p.167, 2007.

F. Nakamura, M. Sakaki, Y. Yamanaka, S. Tamaru, T. Suzuki et al., Sci. Rep, vol.3, p.2536, 2013.

D. Fausti, R. I. Tobey, N. Dean, S. Kaiser, A. Dienst et al., Science, vol.331, p.189, 2011.

D. Nicoletti, E. Casandruc, Y. Laplace, V. Khanna, C. R. Hunt et al., Phys. Rev. B, vol.90, p.100503, 2014.

E. Casandruc, D. Nicoletti, S. Rajasekaran, Y. Laplace, V. Khanna et al., Phys. Rev. B, vol.91, p.174502, 2015.

D. Nicoletti and A. Cavalleri, Adv. Opt. Photonics, vol.8, p.401, 2016.

D. Nicoletti, D. Fu, O. Mehio, S. Moore, A. S. Disa et al., Phys. Rev. Lett, vol.121, p.267003, 2018.

A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys, vol.68, p.13, 1996.

G. Kotliar, S. Y. Savrasov, K. Haule, V. S. Oudovenko, O. Parcollet et al., Rev. Mod. Phys, vol.78, p.865, 2006.

H. Aoki, N. Tsuji, M. Eckstein, M. Kollar, T. Oka et al.,

. Werner, Rev. Mod. Phys, vol.86, p.779, 2014.

A. N. Rubtsov and A. I. Lichtenstein, J. Exp. Theor. Phys. Lett, vol.80, p.61, 2004.

A. N. Rubtsov, V. V. Savkin, and A. I. Lichtenstein, Phys. Rev. B, vol.72, p.35122, 2005.

E. Gull, P. Werner, O. Parcollet, and M. Troyer, Europhys. Lett, vol.82, p.57003, 2008.

P. Werner, A. Comanac, L. De'-medici, M. Troyer, and A. J. Millis, Phys. Rev. Lett, vol.97, p.76405, 2006.

P. Werner and A. J. Millis, Phys. Rev. B, vol.74, p.155107, 2006.

L. Mühlbacher and E. Rabani, Phys. Rev. Lett, vol.100, p.176403, 2008.

P. Werner, T. Oka, and A. J. Millis, Phys. Rev. B, vol.79, p.35320, 2009.

P. Werner, T. Oka, M. Eckstein, and A. J. Millis, Phys. Rev. B, vol.81, p.35108, 2010.

M. Schiró and M. Fabrizio, Phys. Rev. B, vol.79, p.153302, 2009.

M. Schiró, Phys. Rev. B, vol.81, p.85126, 2010.

S. R. White, Phys. Rev. Lett, vol.69, p.2863, 1992.

S. R. White, Phys. Rev. B, vol.48, p.10345, 1993.

U. Schollwöck, Rev. Mod. Phys, vol.77, p.259, 2005.

. Cancellation, . Vacuum, and . Long-?-physical, REVIEW B, vol.100, p.85125, 2019.

G. Cohen, D. R. Reichman, A. J. Millis, and E. Gull, Phys. Rev. B, vol.89, p.115139, 2014.

G. Cohen, E. Gull, D. R. Reichman, and A. J. Millis, Phys. Rev. Lett, vol.112, p.146802, 2014.

G. Cohen, E. Gull, D. R. Reichman, and A. J. Millis, Phys. Rev. Lett, vol.115, p.266802, 2015.

H. Chen, G. Cohen, and D. R. Reichman, J. Chem. Phys, vol.146, p.54105, 2017.

H. Chen, G. Cohen, and D. R. Reichman, J. Chem. Phys, vol.146, p.54106, 2017.

A. E. Antipov, Q. Dong, J. Kleinhenz, G. Cohen, and E. Gull, Phys. Rev. B, vol.95, p.85144, 2017.

A. Boag, E. Gull, and G. Cohen, Phys. Rev. B, vol.98, p.115152, 2018.

R. E. Profumo, C. Groth, L. Messio, O. Parcollet, and X. Waintal, Phys. Rev. B, vol.91, p.245154, 2015.

C. Bertrand, O. Parcollet, A. Maillard, and X. Waintal,

C. Bertrand, S. Florens, O. Parcollet, and X. Waintal,

N. V. and B. V. Svistunov, Phys. Rev. Lett, vol.81, p.2514, 1998.

N. and B. Svistunov, Phys. Rev. Lett, vol.99, p.250201, 2007.

K. V. Houcke, E. Kozik, N. , and B. Svistunov, computer Simulations Studies in Condensed Matter Physics XXI, vol.6, 2010.

E. Bourovski, N. , and B. Svistunov, Phys. Rev. B, vol.70, p.193101, 2004.

R. Rossi, Phys. Rev. Lett, vol.119, p.45701, 2017.

A. Moutenet, W. Wu, and M. Ferrero, Phys. Rev. B, vol.97, p.85117, 2018.

F. Simkovic, I. V. , and E. Kozik,

J. Schwinger, J. Math. Phys, vol.2, p.407, 1961.

L. V. Keldysh, Zh. Eksp. Teor. Fiz, vol.47, p.1018, 1965.

J. Rammer and H. Smith, Rev. Mod. Phys, vol.58, p.323, 1986.

A. Kamenev and A. Levchenko, Adv. Phys, vol.58, p.197, 2009.

A. Larkin and Y. Ovchinnikov, Nonequilibrium Superconductivity, 1986.

G. Biroli and O. Parcollet, Phys. Rev. B, vol.65, p.94414, 2002.

N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys, vol.21, p.1087, 1953.

W. Wu, M. Ferrero, A. Georges, and E. Kozik, Phys. Rev. B, vol.96, issue.R, p.41105, 2017.

R. Rossi, F. Werner, N. , and B. Svistunov, Phys. Rev. B, vol.93, p.161102, 2016.

I. L. Aleiner, P. W. Brouwer, and L. I. Glazman, Quantum effects in Coulomb blockade, Physics Reports, vol.358, issue.5, pp.309-440, 2002.

C. S. Alexander, G. Cao, V. Dobrosavljevic, S. Mccall, J. E. Crow et al., Destruction of the Mott insulating ground state of Ca 2 RuO 4 by a structural transition, Phys. Rev. B, vol.60, pp.8422-8425, 1999.

H. Alloul, T. Ohno, and P. Mendels, 89 Y NMR evidence for a Fermi-liquid behavior in YBa 2 Cu 3 O 6+x, Phys. Rev. Lett, vol.63, pp.1700-1703, 1989.

B. Frithjof and . Anders, Steady-State Currents through Nanodevices: A Scattering-States Numerical Renormalization-Group Approach to Open Quantum Systems, Phys. Rev. Lett, vol.101, p.66804, 2008.

B. Frithjof, A. Anders, and . Schiller, Real-Time Dynamics in Quantum-Impurity Systems: A Time-Dependent Numerical Renormalization-Group Approach, Phys. Rev. Lett, vol.95, 2005.

B. Frithjof, A. Anders, and . Schiller, Spin precession and real-time dynamics in the Kondo model: Time-dependent numerical renormalization-group study, Phys. Rev. B, vol.74, p.245113, 2006.

P. W. Anderson, Localized Magnetic States in Metals, Phys. Rev, vol.124, pp.41-53, 1961.

P. W. Anderson, More Is Different, Science, vol.177, issue.4047, pp.393-396, 1972.

A. E. Antipov, Q. Dong, J. Kleinhenz, G. Cohen, and E. Gull, Currents and Green's functions of impurities out of equilibrium: Results from inchworm quantum Monte Carlo, Phys. Rev. B, vol.95, p.85144, 2017.

H. Aoki, N. Tsuji, M. Eckstein, M. Kollar, T. Oka et al., Nonequilibrium dynamical mean-field theory and its applications, Rev. Mod. Phys, vol.86, pp.779-837, 2014.

C. Aron, C. Weber, and G. Kotliar, Impurity model for non-equilibrium steady states, Phys. Rev. B, vol.87, p.125113, 2013.

T. Ayral and O. Parcollet, Mott physics and spin fluctuations: A unified framework, Phys. Rev. B, vol.92, p.115109, 2015.
URL : https://hal.archives-ouvertes.fr/cea-01232442

T. Ayral and O. Parcollet, Mott physics and spin fluctuations: A functional viewpoint, Phys. Rev. B, vol.93, p.235124, 2016.
URL : https://hal.archives-ouvertes.fr/cea-01341626

C. Bertrand, S. Florens, O. Parcollet, and X. Waintal, Reconstructing Nonequilibrium Regimes of Quantum Many-Body Systems from the Analytical Structure of Perturbative Expansions, Phys. Rev. X, vol.9, p.41008, 2019.

C. Bertrand, O. Parcollet, A. Maillard, and X. Waintal, Quantum Monte Carlo algorithm for out-of-equilibrium Green's functions at long times, Phys. Rev. B, vol.100, p.125129, 2019.

N. E. Bickers, Review of techniques in the large-N expansion for dilute magnetic alloys, Rev. Mod. Phys, vol.59, pp.845-939, 1987.

N. E. Bickers, D. L. Cox, and J. W. Wilkins, Self-consistent large-N expansion for normal-state properties of dilute magnetic alloys, Phys. Rev. B, vol.36, pp.2036-2079, 1987.

G. Biroli and O. Parcollet, Out-of-equilibrium dynamics of a quantum Heisenberg spin glass, Phys. Rev. B, vol.65, p.94414, 2002.

A. Björklund, T. Husfeldt, P. Kaski, and M. Koivisto, Fourier Meets Möbius: Fast Subset Convolution, Proceedings of the Thirty-Ninth Annual ACM Symposium on Theory of Computing, pp.67-74, 2007.

R. Blankenbecler, D. J. Scalapino, and R. L. Sugar, Monte Carlo calculations of coupled bosonfermion systems, I. Phys. Rev. D, vol.24, pp.2278-2286, 1981.

A. Boag, E. Gull, and G. Cohen, Inclusion-exclusion principle for many-body diagrammatics, Phys. Rev. B, vol.98, p.115152, 2018.

E. Bourovski, N. Prokof'ev, and B. Svistunov, Truncated-determinant diagrammatic Monte Carlo for fermions with contact interaction, Phys. Rev. B, vol.70, p.193101, 2004.

M. Braden, G. André, S. Nakatsuji, and Y. Maeno, Crystal and magnetic structure of Ca 2 RuO 4 : Magnetoelastic coupling and the metal-insulator transition, Phys. Rev. B, vol.58, pp.847-861, 1998.

V. Brouet, J. Mansart, L. Perfetti, C. Piovera, I. Vobornik et al., Transfer of spectral weight across the gap of Sr 2 IrO 4 induced by La doping, Phys. Rev. B, vol.92, p.81117, 2015.

H. Bruus and K. Flensberg, Many-body quantum theory in condensed matter physics: an introduction, 2004.

R. Bulla, T. Hewson, and . Pruschke, Numerical renormalization group calculations for the selfenergy of the impurity Anderson model, Journal of Physics: Condensed Matter, vol.10, issue.37, pp.8365-8380, 1998.

R. Bulla, A. C. Hewson, and T. Pruschke, Numerical renormalization group calculations for the self-energy of the impurity Anderson model, Journal of Physics: Condensed Matter, vol.10, issue.37, p.8365, 1998.

R. Bulla, T. A. Costi, and T. Pruschke, Numerical renormalization group method for quantum impurity systems, Rev. Mod. Phys, vol.80, pp.395-450, 2008.

G. Cao, S. Mccall, J. E. Crow, and R. P. Guertin, Observation of a Metallic Antiferromagnetic Phase and Metal to Nonmetal Transition in Ca 3 Ru 2 O 7, Phys. Rev. Lett, vol.78, pp.1751-1754, 1997.

J. Carter, V. Shankar, V. , and H. Kee, Theory of metal-insulator transition in the family of perovskite iridium oxides, Phys. Rev. B, vol.88, p.35111, 2013.

J. Carter, Interplay between spin-orbit coupling, electronic correlations and lattice distortions in perovskite iridates, 2013.

H. Chen, G. Cohen, and D. R. Reichman, Inchworm Monte Carlo for exact non-adiabatic dynamics. I. Theory and algorithms, The Journal of Chemical Physics, vol.146, issue.5, p.54105, 2017.

H. Chen, G. Cohen, and D. R. Reichman, Inchworm Monte Carlo for exact non-adiabatic dynamics. II. Benchmarks and comparison with established methods, The Journal of Chemical Physics, vol.146, issue.5, p.54106, 2017.

X. Chen, X. Cheng, and S. Mallat, Unsupervised Deep Haar Scattering on Graphs, Proceedings of the 27th International Conference on Neural Information Processing Systems, vol.1, pp.1709-1717, 2014.

G. Cohen, E. Gull, D. R. Reichman, and A. J. Millis, Green's Functions from Real-Time Bold-Line Monte Carlo Calculations: Spectral Properties of the Nonequilibrium Anderson Impurity Model, Phys. Rev. Lett, vol.112, p.146802, 2014.

G. Cohen, E. Gull, D. R. Reichman, and A. J. Millis, Taming the Dynamical Sign Problem in Real-Time Evolution of Quantum Many-Body Problems, Phys. Rev. Lett, vol.115, p.266802, 2015.

G. Cohen, D. R. Reichman, A. J. Millis, and E. Gull, Green's functions from real-time bold-line Monte Carlo, Phys. Rev. B, vol.89, p.115139, 2014.

P. Coleman, New approach to the mixed-valence problem, Phys. Rev. B, vol.29, pp.3035-3044, 1984.

M. K. Crawford, M. A. Subramanian, R. L. Harlow, J. A. Fernandez-baca, Z. R. Wang et al., Structural and magnetic studies of Sr 2 IrO 4, Phys. Rev. B, vol.49, pp.9198-9201, 1994.

S. M. Cronenwett, H. Tjerk, L. P. Oosterkamp, and . Kouwenhoven, A Tunable Kondo Effect in Quantum Dots, Science, vol.281, issue.5376, pp.540-544, 1998.

A. De-la-torre, S. Walker, F. Y. Bruno, S. Riccó, Z. Wang et al., Collapse of the Mott Gap and Emergence of a Nodal Liquid in Lightly Doped Sr 2 IrO 4, Phys. Rev. Lett, vol.115, p.176402, 2015.

J. Luca-de'-medici, A. Mravlje, and . Georges, Janus-Faced Influence of Hund's Rule Coupling in Strongly Correlated Materials, Phys. Rev. Lett, vol.107, p.256401, 2011.

M. Paul-adrien, R. H. Dirac, and . Fowler, Quantum mechanics of many-electron systems, Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, vol.123, issue.792, pp.714-733, 1929.

M. Eckstein, M. Kollar, and P. Werner, Thermalization after an Interaction Quench in the Hubbard Model, Phys. Rev. Lett, vol.103, p.56403, 2009.

M. Eckstein, T. Oka, and P. Werner, Dielectric Breakdown of Mott Insulators in Dynamical Mean-Field Theory, Phys. Rev. Lett, vol.105, p.146404, 2010.

M. Eckstein and P. Werner, Nonequilibrium dynamical mean-field calculations based on the noncrossing approximation and its generalizations, Phys. Rev. B, vol.82, p.115115, 2010.

J. Edmonds, . Paths, . Trees, and . Flowers, Canadian Journal of Mathematics, vol.17, pp.449-467, 1965.

M. Ferrero, P. S. Cornaglia, L. D. Leo, O. Parcollet, G. Kotliar et al., Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space, Phys. Rev. B, vol.80, p.64501, 2009.
URL : https://hal.archives-ouvertes.fr/hal-02364045

R. Phillips-feynman, R. Benjamin-leighton, and M. Sands, The Feynman lectures on physics; New millennium ed. Basic Books, pp.1963-1965, 2010.

O. Friedt, M. Braden, G. André, P. Adelmann, S. Nakatsuji et al., Structural and magnetic aspects of the metal-insulator transition in Ca 2?x Sr x RuO 4, Phys. Rev. B, vol.63, p.174432, 2001.

T. Fujii and K. Ueda, Perturbative approach to the nonequilibrium Kondo effect in a quantum dot, Phys. Rev. B, vol.68, p.155310, 2003.

H. N. Gabow, An Efficient Implementation of Edmonds' Algorithm for Maximum Matching on Graphs, J. ACM, vol.23, issue.2, pp.221-234, 1976.

A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions, Rev. Mod. Phys, vol.68, pp.13-125, 1996.

A. Georges, J. Luca-de'-medici, and . Mravlje, Strong Correlations from Hund's Coupling, Annual Review of Condensed Matter Physics, vol.4, issue.1, pp.137-178, 2013.

A. B. Georgescu, O. E. Peil, A. S. Disa, A. Georges, and A. J. Millis, Disentangling lattice and electronic contributions to the metal-insulator transition from bulk vs. layer confined RNiO 3, Proceedings of the National Academy of Sciences, vol.116, pp.14434-14439, 2019.

D. Goldhaber-gordon, J. Göres, M. A. Kastner, H. Shtrikman, D. Mahalu et al., From the Kondo Regime to the Mixed-Valence Regime in a Single-Electron Transistor, Phys. Rev. Lett, vol.81, pp.5225-5228, 1998.

D. Goldhaber-gordon, H. Shtrikman, D. Mahalu, D. Abusch-magder, U. Meirav et al., Kondo effect in a single-electron transistor, Nature, vol.391, pp.156-159, 1998.

E. Gorelov, M. Karolak, T. O. Wehling, F. Lechermann, A. I. Lichtenstein et al., Nature of the Mott Transition in Ca 2 RuO 4, Phys. Rev. Lett, vol.104, p.226401, 2010.

N. Grewe and H. Keiter, Diagrammatic approach to the intermediate-valence compounds, Phys. Rev. B, vol.24, pp.4420-4444, 1981.

K. Griffin and M. J. Tsatsomeros, Principal minors, Part I: A method for computing all the principal minors of a matrix, Linear Algebra and its Applications, vol.419, issue.1, pp.107-124, 2006.

E. Gull, P. Werner, O. Parcollet, and M. Troyer, Continuous-time auxiliary-field Monte Carlo for quantum impurity models, Europhysics Letters), vol.82, issue.5, p.57003, 2008.

E. Gull, A. J. Millis, A. I. Lichtenstein, A. N. Rubtsov, M. Troyer et al., Continuous-time Monte Carlo methods for quantum impurity models, Rev. Mod. Phys, vol.83, pp.349-404, 2011.

E. Gull, O. Parcollet, and A. J. Millis, Superconductivity and the Pseudogap in the Two-Dimensional Hubbard Model, Phys. Rev. Lett, vol.110, p.216405, 2013.

O. Gunnarsson, T. Schäfer, J. P. Leblanc, E. Gull, J. Merino et al., Fluctuation Diagnostics of the Electron Self-Energy: Origin of the Pseudogap Physics, Phys. Rev. Lett, vol.114, p.236402, 2015.

H. Hafermann, K. R. Patton, and P. Werner, Improved estimators for the self-energy and vertex function in hybridization-expansion continuous-time quantum Monte Carlo simulations, Phys. Rev. B, vol.85, p.205106, 2012.

H. Hao, A. Georges, A. J. Millis, B. Rubenstein, Q. Han et al., Metal-Insulator and Magnetic Phase Diagram of Ca 2 RuO 4 from Auxiliary Field Quantum Monte Carlo and Dynamical Mean Field Theory, 2019.

W. K. Hastings, Monte Carlo sampling methods using Markov chains and their applications, Biometrika, vol.57, issue.1, pp.97-109, 1970.

K. Hatsuda, T. Kimura, and Y. Tokura, Electric-field switching of orbital order in layered manganites, Applied Physics Letters, vol.83, issue.16, pp.3329-3331, 2003.

K. Haule, S. Kirchner, J. Kroha, and P. Wölfle, Anderson impurity model at finite Coulomb interaction U : Generalized noncrossing approximation, Phys. Rev. B, vol.64, p.155111, 2001.

K. Haule and G. Kotliar, Coherence-incoherence crossover in the normal state of iron oxypnictides and importance of Hund's rule coupling, New Journal of Physics, vol.11, issue.2, p.25021, 2009.

M. H. Hettler, M. Mukherjee, M. Jarrell, and H. R. Krishnamurthy, Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems, Phys. Rev. B, vol.61, pp.12739-12756, 2000.

M. H. Hettler, A. N. Tahvildar-zadeh, M. Jarrell, T. Pruschke, and H. R. Krishnamurthy, Nonlocal dynamical correlations of strongly interacting electron systems, Phys. Rev. B, vol.58, pp.7475-7479, 1998.

K. Van-houcke, E. Kozik, N. , and B. Svistunov, Diagrammatic Monte Carlo, Computer Simulations Studies in Condensed Matter Physics XXI, pp.95-105, 2010.
URL : https://hal.archives-ouvertes.fr/hal-02104501

M. Imada, A. Fujimori, and Y. Tokura, Metal-insulator transitions, Rev. Mod. Phys, vol.70, pp.1039-1263, 1998.

Y. Iwasa, T. Koda, Y. Tokura, S. Koshihara, N. Iwasawa et al., Switching effect in organic charge transfer complex crystals, Applied Physics Letters, vol.55, issue.20, pp.2111-2113, 1989.

H. Jin, H. Jeong, T. Ozaki, and J. Yu, Anisotropic exchange interactions of spin-orbit-integrated states in Sr 2 IrO 4, Phys. Rev. B, vol.80, p.75112, 2009.

A. Kamenev and A. Levchenko, Keldysh technique and non-linear ?-model: basic principles and applications, Advances in Physics, vol.58, issue.3, pp.197-319, 2009.

J. Kanamori, Electron Correlation and Ferromagnetism of Transition Metals, Progress of Theoretical Physics, vol.30, issue.3, pp.275-289, 1963.

T. Kanki, K. Kawatani, H. Takami, and H. Tanaka, Direct observation of giant metallic domain evolution driven by electric bias in VO 2 thin films on TiO 2 (001) substrate, Applied Physics Letters, vol.101, issue.24, p.243118, 2012.

A. A. Katanin, A. Toschi, and K. Held, Comparing pertinent effects of antiferromagnetic fluctuations in the two-and three-dimensional Hubbard model, Phys. Rev. B, vol.80, p.75104, 2009.

H. Keiter and J. C. Kimball, Diagrammatic Approach to the Anderson Model for Dilute Alloys, Journal of Applied Physics, vol.42, issue.4, pp.1460-1461, 1971.

L. V. Keldysh, Diagram technique for nonequilibrium processes, Zh. Eksp. Teor. Fiz, vol.47, pp.1515-1527, 1964.

B. J. Kim, S. J. Hosub-jin, J. Moon, B. Kim, C. S. Park et al., Novel J eff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr 2 IrO 4, Phys. Rev. Lett, vol.101, p.76402, 2008.

J. Kim, D. Casa, M. H. Upton, T. Gog, Y. Kim et al., Magnetic Excitation Spectra of Sr 2 IrO 4 Probed by Resonant Inelastic X-Ray Scattering: Establishing Links to Cuprate Superconductors, Phys. Rev. Lett, vol.108, p.177003, 2012.

Y. K. Kim, O. Krupin, J. D. Denlinger, A. Bostwick, E. Rotenberg et al., Fermi arcs in a doped pseudospin-1/2 Heisenberg antiferromagnet, Science, vol.345, issue.6193, pp.187-190, 2014.

G. Kotliar, S. Y. Savrasov, K. Haule, V. S. Oudovenko, O. Parcollet et al., Electronic structure calculations with dynamical mean-field theory, Rev. Mod. Phys, vol.78, pp.865-951, 2006.

G. Kotliar, Y. Sergej, G. Savrasov, G. Pálsson, and . Biroli, Cellular Dynamical Mean Field Approach to Strongly Correlated Systems, Phys. Rev. Lett, vol.87, p.186401, 2001.

E. Kozik, K. Van-houcke, E. Gull, L. Pollet, N. Prokof'ev et al., Diagrammatic Monte Carlo for correlated fermions, Europhysics Letters), vol.90, issue.1, p.10004, 2010.

W. Krauth, Statistical mechanics: Algorithms and computations, 2006.

Y. Kuramoto, Self-consistent perturbation theory for dynamics of valence fluctuations, Zeitschrift für Physik B Condensed Matter, vol.53, pp.37-52, 1983.

P. David, K. Landau, and . Binder, A Guide to Monte Carlo Simulations in Statistical Physics, 2014.

A. I. Larkin and Y. N. Ovchinnikov, Vortex motion in Superconductors, Nonequilibrium Superconductivity, 1986.

J. P. Leblanc, A. E. Antipov, F. Becca, W. Ireneusz, G. Bulik et al., -Xiao Zheng, Zhenyue Zhu, and Emanuel Gull. Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms, Phys. Rev. X, vol.5, p.41041, 2015.

B. Lenz, S. Martins, and . Biermann, Spectral functions of Sr 2 IrO 4 : theory versus experiment, Journal of Physics: Condensed Matter, vol.31, issue.29, p.293001, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02133866

J. Li, C. Aron, G. Kotliar, and J. E. Han, Electric-Field-Driven Resistive Switching in the Dissipative Hubbard Model, Phys. Rev. Lett, vol.114, p.226403, 2015.

A. I. Lichtenstein and M. I. Katsnelson, Antiferromagnetism and d-wave superconductivity in cuprates: A cluster dynamical mean-field theory, Phys. Rev. B, vol.62, pp.9283-9286, 2000.

D. Loss and D. P. Divincenzo, Quantum computation with quantum dots, Phys. Rev. A, vol.57, pp.120-126, 1998.

Y. Maeno, H. Hashimoto, K. Yoshida, S. Nishizaki, T. Fujita et al., Superconductivity in a layered perovskite without copper, Nature, vol.372, pp.532-534, 1994.

T. Maier, M. Jarrell, T. Pruschke, and M. H. Hettler, Quantum cluster theories, Rev. Mod. Phys, vol.77, pp.1027-1080, 2005.

C. Martins, M. Aichhorn, L. Vaugier, and S. Biermann, Reduced Effective Spin-Orbital Degeneracy and Spin-Orbital Ordering in Paramagnetic Transition-Metal Oxides: Sr 2 IrO 4 versus Sr 2 RhO 4, Phys. Rev. Lett, vol.107, p.266404, 2011.

C. Martins, B. Lenz, L. Perfetti, and V. Brouet, François Bertran, and Silke Biermann. Nonlocal Coulomb correlations in pure and electron-doped Sr 2 IrO 4 : Spectral functions, Fermi surface, and pseudo-gap-like spectral weight distributions from oriented cluster dynamical mean-field theory, Phys. Rev. Materials, vol.2, p.32001, 2018.

A. Matthies, J. Li, and M. Eckstein, Control of competing superconductivity and charge order by nonequilibrium currents, Phys. Rev. B, vol.98, p.180502, 2018.

G. Mattoni, S. Yonezawa, and Y. Maeno, Diamagnetic-like response from localised heating of a paramagnetic material, 2020.

M. Ma?ek, T. Philipp, C. Dumitrescu, B. Bertrand, O. Triggs et al., Quantum Quasi-Monte Carlo, 2020.

G. I. Meijer, Who Wins the Nonvolatile Memory Race?, Science, vol.319, issue.5870, pp.1625-1626, 2008.

Y. Meir and N. S. Wingreen, Landauer formula for the current through an interacting electron region, Phys. Rev. Lett, vol.68, pp.2512-2515, 1992.

N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, Equation of State Calculations by Fast Computing Machines, The Journal of Chemical Physics, vol.21, issue.6, pp.1087-1092, 1953.

A. Moutenet, A. Georges, and M. Ferrero, Pseudogap and electronic structure of electron-doped Sr 2 IrO 4, Phys. Rev. B, vol.97, p.155109, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02363913

A. Moutenet, P. Seth, M. Ferrero, and O. Parcollet, Cancellation of vacuum diagrams and the long-time limit in out-of-equilibrium diagrammatic quantum Monte Carlo, Phys. Rev. B, vol.100, p.85125, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02363918

A. Moutenet, W. Wu, and M. Ferrero, Determinant Monte Carlo algorithms for dynamical quantities in fermionic systems, Phys. Rev. B, vol.97, p.85117, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02364078

J. Mravlje, M. Aichhorn, T. Miyake, K. Haule, G. Kotliar et al., Coherence-Incoherence Crossover and the Mass-Renormalization Puzzles in Sr 2 RuO 4, Phys. Rev. Lett, vol.106, p.96401, 2011.

L. Mühlbacher and E. Rabani, Real-Time Path Integral Approach to Nonequilibrium Many-Body Quantum Systems, Phys. Rev. Lett, vol.100, p.176403, 2008.

E. Müller-hartmann, Self-consistent perturbation theory of the Anderson model: Ground state properties, Zeitschrift für Physik B Condensed Matter, vol.57, pp.281-287, 1984.

F. Nakamura, T. Goko, M. Ito, T. Fujita, S. Nakatsuji et al., From Mott insulator to ferromagnetic metal: A pressure study of Ca 2 RuO 4, Phys. Rev. B, vol.65, p.220402, 2002.

F. Nakamura, M. Sakaki, Y. Yamanaka, S. Tamaru, T. Suzuki et al., Electric-field-induced metal maintained by current of the Mott insulator Ca 2 RuO 4, Scientific Reports, vol.3, p.2536, 2013.

S. Nakatsuji and Y. Maeno, Quasi-Two-Dimensional Mott Transition System Ca 2?x Sr x RuO 4, Phys. Rev. Lett, vol.84, pp.2666-2669, 2000.

S. Nakatsuji and Y. Maeno, Switching of magnetic coupling by a structural symmetry change near the Mott transition in Ca 2?x Sr x RuO 4, Phys. Rev. B, vol.62, pp.6458-6466, 2000.

S. Nakatsuji, Y. Shin-ichi-ikeda, and . Maeno, Ca 2 RuO 4 : New Mott Insulators of Layered Ruthenate, Journal of the Physical Society of Japan, vol.66, issue.7, pp.1868-1871, 1997.

J. W. Negele and H. Orland, Quantum Many-Particle Systems, 1988.

J. Nichols, N. Bray-ali, A. Ansary, G. Cao, and K. Ng, Tunneling into the Mott insulator Sr 2 IrO 4, Phys. Rev. B, vol.89, p.85125, 2014.

M. R. Norman, D. Pines, and C. Kallin, The pseudogap: friend or foe of high T c ?, Advances in Physics, vol.54, issue.8, pp.715-733, 2005.

R. Okazaki, Y. Nishina, Y. Yasui, F. Nakamura, T. Suzuki et al., Current-Induced Gap Suppression in the Mott Insulator Ca 2 RuO 4, Journal of the Physical Society of Japan, vol.82, issue.10, p.103702, 2013.

O. Parcollet, M. Ferrero, T. Ayral, H. Hafermann, I. Krivenko et al., TRIQS: A toolbox for research on interacting quantum systems, Computer Physics Communications, vol.196, pp.398-415, 2015.
URL : https://hal.archives-ouvertes.fr/cea-01232448

O. E. Peil, A. Hampel, C. Ederer, and A. Georges, Mechanism and control parameters of the coupled structural and metal-insulator transition in nickelates, Phys. Rev. B, vol.99, p.245127, 2019.

F. Peronaci, M. Schiró, and O. Parcollet, Resonant Thermalization of Periodically Driven Strongly Correlated Electrons, Phys. Rev. Lett, vol.120, 2018.
URL : https://hal.archives-ouvertes.fr/cea-01729411

F. Petocchi, S. Beck, C. Ederer, and P. Werner, Hund excitations and the efficiency of Mott solar cells, Phys. Rev. B, vol.100, p.75147, 2019.

J. Preskill, Quantum Computing in the NISQ era and beyond. Quantum, vol.2, p.79, 2018.

E. V. Rosario, C. Profumo, L. Groth, O. Messio, X. Parcollet et al., Quantum Monte Carlo for correlated out-of-equilibrium nanoelectronic devices, Phys. Rev. B, vol.91, p.245154, 2015.

N. V. Prokof and B. V. Svistunov, Polaron Problem by Diagrammatic Quantum Monte Carlo, Phys. Rev. Lett, vol.81, pp.2514-2517, 1998.

N. Prokof, &. Ev, and B. Svistunov, Bold Diagrammatic Monte Carlo Technique: When the Sign Problem Is Welcome, Phys. Rev. Lett, vol.99, p.250201, 2007.

. Th, N. Pruschke, and . Grewe, The Anderson model with finite Coulomb repulsion. Zeitschrift für Physik B Condensed Matter, vol.74, pp.439-449, 1989.

J. Rammer and H. Smith, Quantum field-theoretical methods in transport theory of metals, Rev. Mod. Phys, vol.58, pp.323-359, 1986.

J. J. Randall, L. Katz, and R. Ward, The Preparation of a Strontium-Iridium Oxide Sr2IrO41,2, Journal of the American Chemical Society, vol.79, issue.2, pp.266-267, 1957.

R. Rossi, N. Prokof'ev, B. Svistunov, K. Van-houcke, and F. Werner, Polynomial complexity despite the fermionic sign, Europhysics Letters), vol.118, issue.1, p.10004, 2017.

R. Rossi, Determinant Diagrammatic Monte Carlo Algorithm in the Thermodynamic Limit, Phys. Rev. Lett, vol.119, p.45701, 2017.

R. Rossi, F. ?imkovic, and M. Ferrero, Renormalized perturbation theory at large expansion orders, 2020.
URL : https://hal.archives-ouvertes.fr/hal-02455993

R. Rossi and F. Werner, Nikolay Prokof'ev, and Boris Svistunov. Shifted-action expansion and applicability of dressed diagrammatic schemes, Phys. Rev. B, vol.93, p.161102, 2016.

K. Rossnagel and N. V. Smith, Spin-orbit coupling in the band structure of reconstructed 1T ?TaS 2, Phys. Rev. B, vol.73, p.73106, 2006.

A. N. Rubtsov and A. I. Lichtenstein, Continuous-time quantum Monte Carlo method for fermions: Beyond auxiliary field framework, Journal of Experimental and Theoretical Physics Letters, vol.80, issue.1, pp.61-65, 2004.

A. N. Rubtsov, V. V. Savkin, and A. I. Lichtenstein, Continuous-time quantum Monte Carlo method for fermions, Phys. Rev. B, vol.72, p.35122, 2005.

A. Rüegg, E. Gull, G. A. Fiete, and A. J. Millis, Sum rule violation in selfconsistent hybridization expansions, Phys. Rev. B, vol.87, p.75124, 2013.

M. Sakaki, N. Nakajima, F. Nakamura, Y. Tezuka, and T. Suzuki, Electric-Field-Induced Insulator-Metal Transition in Ca 2 RuO 4 Probed by X-ray Absorption and Emission Spectroscopy, Journal of the Physical Society of Japan, vol.82, issue.9, p.93707, 2013.

T. Schäfer, N. Wentzell, F. ?imkovic, I. V. , Y. He et al., Tracking the Footprints of Spin Fluctuations: A Multi-Method, 2020.

M. Schiró and M. Fabrizio, Real-time diagrammatic Monte Carlo for nonequilibrium quantum transport, Phys. Rev. B, vol.79, p.153302, 2009.

J. Schmid, J. Weis, K. Eberl, and K. , A quantum dot in the limit of strong coupling to reservoirs, Physica B: Condensed Matter, pp.182-185, 1998.

U. Schollwoeck and S. R. White, Methods for Time Dependence in DMRG, 2006.

J. Schwinger, Brownian Motion of a Quantum Oscillator, Journal of Mathematical Physics, vol.2, issue.3, pp.407-432, 1961.

P. Seth, I. Krivenko, M. Ferrero, and O. Parcollet, TRIQS/CTHYB: A continuoustime quantum Monte Carlo hybridisation expansion solver for quantum impurity problems, Physics Communications, vol.200, pp.274-284, 2016.
URL : https://hal.archives-ouvertes.fr/hal-02363946

K. M. Shen, F. Ronning, D. H. Lu, F. Baumberger, N. J. Ingle et al., Nodal Quasiparticles and Antinodal Charge Ordering in Ca 2?x Na x CuO 2 Cl 2, Science, vol.307, issue.5711, pp.901-904, 2005.

H. Shi and S. Zhang, Symmetry in auxiliary-field quantum Monte Carlo calculations, Phys. Rev. B, vol.88, p.125132, 2013.

H. Shi and S. Zhang, Infinite variance in fermion quantum Monte Carlo calculations, Phys. Rev. E, vol.93, p.33303, 2016.

D. J. Singh, P. Blaha, K. Schwarz, and J. O. Sofo, Electronic structure of the pyrochlore metals Cd 2 Os 2 O 7 and Cd 2 Re 2 O 7, Phys. Rev. B, vol.65, p.155109, 2002.

G. Stefanucci and R. Van-leeuwen, Nonequilibrium Many-Body Theory of Quantum Systems: A Modern Introduction, 2013.

P. Steffens, O. Friedt, P. Alireza, W. G. Marshall, W. Schmidt et al., High-pressure diffraction studies on Ca 2 RuO 4, Phys. Rev. B, vol.72, p.94104, 2005.

D. Sutter, C. G. Fatuzzo, S. Moser, M. Kim, R. Fittipaldi et al.,

T. Kim, H. Chang, C. Jeng, A. Jozwiak, E. Bostwick et al., Hallmarks of Hund's coupling in the Mott insulator Ca 2 RuO 4, Nature Communications, vol.8, p.15176, 2017.

Y. Taguchi, T. Matsumoto, and Y. Tokura, Dielectric breakdown of one-dimensional Mott insulators Sr 2 CuO 3 and SrCuO 2, Phys. Rev. B, vol.62, pp.7015-7018, 2000.

S. H. Amir-taheridehkordi, J. P. Curnoe, and . Leblanc, Optimal grouping of arbitrary diagrammatic expansions via analytic pole structure, Phys. Rev. B, vol.101, p.125109, 2020.

K. Terashima, M. Sunagawa, H. Fujiwara, T. Fukura, M. Fujii et al., Evolution of the remnant Fermi-surface state in the lightly doped correlated spin-orbit insulator Sr 2?x La x IrO 4, Phys. Rev. B, vol.96, p.41106, 2017.

A. Toschi, A. A. Katanin, and K. Held, Dynamical vertex approximation: A step beyond dynamical mean-field theory, Phys. Rev. B, vol.75, p.45118, 2007.

M. Troyer and U. Wiese, Computational Complexity and Fundamental Limitations to Fermionic Quantum Monte Carlo Simulations, Phys. Rev. Lett, vol.94, p.170201, 2005.

N. Tsuji, T. Oka, P. Werner, and H. Aoki, Dynamical Band Flipping in Fermionic Lattice Systems: An ac-Field-Driven Change of the Interaction from Repulsive to Attractive, Phys. Rev. Lett, vol.106, p.236401, 2011.

D. Van-der-marel and G. A. Sawatzky, Electron-electron interaction and localization in d and f transition metals, Phys. Rev. B, vol.37, pp.10674-10684, 1988.

D. Van-der-marel, The electronic structure of embedded transition metal atoms, 1985.

F. Verstraete and J. I. Cirac, Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions, 2004.

F. Verstraete, V. Murg, and J. I. Cirac, Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems, Advances in Physics, vol.57, issue.2, pp.143-224, 2008.

H. J. Vidberg and J. W. Serene, Solving the Eliashberg equations by means of N -point Padé approximants, J. Low Temp. Phys, vol.29, pp.179-192, 1977.

T. Vogt and D. J. Buttrey, Temperature Dependent Structural Behavior of Sr 2 RhO 4, Journal of Solid State Chemistry, vol.123, issue.1, pp.186-189, 1996.

F. ?imkovic and E. Kozik, Determinant Monte Carlo for irreducible Feynman diagrams in the strongly correlated regime, Phys. Rev. B, vol.100, p.121102, 2019.

R. Waser and M. Aono, Nanoionics-based resistive switching memories, Nature Materials, vol.6, pp.833-840, 2007.

H. Watanabe, T. Shirakawa, and S. Yunoki, Microscopic Study of a Spin-Orbit-Induced Mott Insulator in Ir Oxides, Phys. Rev. Lett, vol.105, p.216410, 2010.

P. Werner, A. Comanac, M. Luca-de'-medici, A. J. Troyer, and . Millis, Continuous-Time Solver for Quantum Impurity Models, Phys. Rev. Lett, vol.97, p.76405, 2006.

P. Werner, E. Gull, M. Troyer, and A. J. Millis, Spin Freezing Transition and Non-Fermi-Liquid Self-Energy in a Three-Orbital Model, Phys. Rev. Lett, vol.101, p.166405, 2008.

P. Werner and A. J. Millis, Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models, Phys. Rev. B, vol.74, p.155107, 2006.

P. Werner, T. Oka, M. Eckstein, and A. J. Millis, Weak-coupling quantum Monte Carlo calculations on the Keldysh contour: Theory and application to the current-voltage characteristics of the Anderson model, Phys. Rev. B, vol.81, p.35108, 2010.

P. Werner, T. Oka, and A. J. Millis, Diagrammatic Monte Carlo simulation of nonequilibrium systems, Phys. Rev. B, vol.79, p.35320, 2009.

R. Steven and . White, Density matrix formulation for quantum renormalization groups, Phys. Rev. Lett, vol.69, pp.2863-2866, 1992.

R. Steven and . White, Density-matrix algorithms for quantum renormalization groups, Phys. Rev. B, vol.48, pp.10345-10356, 1993.

G. C. Wick, The Evaluation of the Collision Matrix, Phys. Rev, vol.80, pp.268-272, 1950.

A. Wietek and A. M. Läuchli, Sublattice coding algorithm and distributed memory parallelization for large-scale exact diagonalizations of quantum many-body systems, Phys. Rev. E, vol.98, p.33309, 2018.

K. G. Wilson, The renormalization group: Critical phenomena and the Kondo problem, Rev. Mod. Phys, vol.47, pp.773-840, 1975.

N. S. Wingreen and Y. Meir, Anderson model out of equilibrium: Noncrossing-approximation approach to transport through a quantum dot, Phys. Rev. B, vol.49, pp.11040-11052, 1994.

D. Wolf, Simplified version of the cuprate superconductor phase diagram

W. Wu, M. Ferrero, A. Georges, and E. Kozik, Controlling Feynman diagrammatic expansions: Physical nature of the pseudogap in the two-dimensional Hubbard model, Phys. Rev. B, vol.96, p.41105, 2017.
URL : https://hal.archives-ouvertes.fr/hal-02363939

H. J. Xiang and M. Whangbo, Cooperative effect of electron correlation and spin-orbit coupling on the electronic and magnetic properties of Ba 2 NaOsO 6, Phys. Rev. B, vol.75, p.52407, 2007.

S. Yamanouchi, Y. Taguchi, and Y. Tokura, Dielectric Breakdown of the Insulating Charge-Ordered State in La 2?x Sr x NiO 4, Phys. Rev. Lett, vol.83, pp.5555-5558, 1999.

Z. P. Yin, K. Haule, and G. Kotliar, Kinetic frustration and the nature of the magnetic and paramagnetic states in iron pnictides and iron chalcogenides, Nature Materials, vol.10, pp.932-935, 2011.

H. Zhang, K. Haule, and D. Vanderbilt, Effective J=1/2 Insulating State in Ruddlesden-Popper Iridates: An LDA+DMFT Study, Phys. Rev. Lett, vol.111, p.246402, 2013.

S. Zhang, Auxiliary-Field Quantum Monte Carlo for Correlated Electron Systems, chapter 15, Verlag des Forschungszentrum Jülich, 2013.

M. Zingl, J. Mravlje, M. Aichhorn, O. Parcollet, and A. Georges, Hall coefficient signals orbital differentiation in the Hund's metal Sr 2 RuO 4, NPJ Quantum Materials, vol.4, pp.2397-4648, 2019.