C. H. Ahn, A. Bhattacharya, M. D. Ventra, J. N. Eckstein, C. D. Frisbie et al., Electrostatic modification of novel materials, Reviews of Modern Physics, vol.15, issue.439, pp.1185-1212, 2006.
DOI : 10.1063/1.1496504

P. W. Anderson, Localized Magnetic States in Metals, Physical Review, vol.122, issue.1, pp.41-53, 1961.
DOI : 10.1103/PhysRev.122.1157

E. Arcangeletti, L. Baldassarre, D. D. Castro, S. Lupi, L. Malavasi et al., Evidence of a pressure-induced metallization process

M. Balzer, B. Kyung, D. Sénéchal, A. S. Tremblay, and M. Potthoff, First-order Mott transition at zero temperature in two dimensions: Variational plaquette study, EPL (Europhysics Letters), vol.85, issue.1
DOI : 10.1209/0295-5075/85/17002

A. S. Belozerov, M. A. Korotin, V. I. Anisimov, and A. I. Poteryaev, Monoclinic M 1 phase of VO 2 : Mott-Hubbard versus band insulator, Phys. Rev. B, vol.85, issue.4

W. F. Brinkman and T. M. Rice, Application of Gutzwiller's Variational Method to the Metal-Insulator Transition, Physical Review B, vol.58, issue.10, pp.4302-4304
DOI : 10.1021/ja01295a006

W. H. Brito, M. C. Aguiar, K. Haule, and G. Kotliar, Metal-insulator transition in VO 2 : A DFT+DMFT perspective, Phys. Rev. Lett, vol.117, issue.5, 2016.

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, pp.8365-8380, 1998.
DOI : 10.1088/0953-8984/10/37/021

M. A. Kieffer, F. A. Khakani, and . Hegmann, Phase diagram of the ultrafast photoinduced insulator-metal transition in vanadium dioxide, Physical Review B, vol.85, issue.15

S. Doniach, The Kondo lattice and weak antiferromagnetism, Physica B+C, vol.91, pp.91231-234, 1977.
DOI : 10.1016/0378-4363(77)90190-5

E. N. Economou, Green's Functions in Quantum Physics Number 7 in Springer series in solid-state sciences, 2006.

V. J. Emery, CORRELATED ELECTRON SYSTEMS, Correlated Electron Systems, pp.1-364, 1993.
DOI : 10.1142/9789814536363

V. Eyert, The metal-insulator transitions of VO2: A band theoretical approach, Annalen der Physik, vol.11, issue.9, pp.650-704, 2002.
DOI : 10.1002/1521-3889(200210)11:9<650::AID-ANDP650>3.0.CO;2-K

V. Eyert, VO 2 : A novel view from band theory, Physical Review Letters, vol.107, issue.1
DOI : 10.1103/physrevlett.107.016401

A. Fuhrmann, D. Heilmann, and H. Monien, From Mott insulator to band insulator: A dynamical mean-field theory study, Physical Review B, vol.47, issue.24, p.245118, 2006.
DOI : 10.1103/PhysRevB.72.035122

D. J. García, K. Hallberg, and M. J. Rozenberg, Dynamical Mean Field Theory with the Density Matrix Renormalization Group, Physical Review Letters, vol.8, issue.24, p.246403, 2004.
DOI : 10.1103/PhysRevB.66.165111

F. Gebhard, K. Bott, M. Scheidler, P. Thomas, and S. W. Koch, Optical absorption of non-interacting tight-binding electrons in a Peierls-distorted chain at half band-filling, Philosophical Magazine Part B, vol.27, issue.1
DOI : 10.1016/S0081-1947(08)60348-3

H. H. Anisimov, H. Hsieh, C. T. Lin, D. I. Chen, L. H. Khomskii et al., Orbitalassisted metal-insulator transition in VO 2, Physical Review Letters, issue.19, p.95, 2005.

Z. Hiroi, Structural instability of the rutile compounds and its relevance to the metal-insulator transition of VO 2 Progress in Solid State Chemistry, pp.47-69, 2015.

J. E. Hirsch and R. M. Fye, Monte Carlo Method for Magnetic Impurities in Metals, Physical Review Letters, vol.33, issue.23, pp.2521-2524, 1986.
DOI : 10.1103/PhysRevB.33.3519

J. Hubbard, Electron Correlations in Narrow Energy Bands, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.276, issue.1365, pp.238-257, 1365.
DOI : 10.1098/rspa.1963.0204

T. J. Huffman, C. Hendriks, E. J. Walter, J. Yoon, H. Ju et al., Insulating phases of vanadium dioxide are Mott-Hubbard insulators, Physical Review B, vol.95, issue.7
DOI : 10.1103/PhysRevLett.117.056402

URL : http://arxiv.org/pdf/1608.08227

M. Imada, A. Fujimori, and Y. Tokura, Metal-insulator transitions, Reviews of Modern Physics, vol.53, issue.189, pp.1039-1263
DOI : 10.1103/PhysRevB.53.983

M. Jarrell, Hubbard model in infinite dimensions: A quantum Monte Carlo study, Physical Review Letters, vol.41, issue.1, pp.168-171, 1992.
DOI : 10.1103/PhysRevB.41.2380

M. Jarrell and J. Gubernatis, Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data, Physics Reports, vol.269, issue.3, pp.133-1950370, 1996.
DOI : 10.1016/0370-1573(95)00074-7

J. Joo and V. Oudovenko, Quantum Monte Carlo calculation of the finite temperature Mott-Hubbard transition, Physical Review B, vol.75, issue.19, 2001.
DOI : 10.1103/PhysRevLett.75.105

S. S. Kancharla and S. Okamoto, Band insulator to Mott insulator transition in a bilayer Hubbard model, Physical Review B, vol.75, issue.19, pp.1-4, 2007.
DOI : 10.1103/PhysRevB.69.195105

M. Karski, C. Raas, and G. S. Uhrig, Single-particle dynamics in the vicinity of the Mott-Hubbard metal-to-insulator transition, Physical Review B, vol.45, issue.380, p.75116, 2008.
DOI : 10.1103/PhysRevB.75.121102

F. Keilmann and R. Hillenbrand, Near-field microscopy by elastic light scattering from a tip, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.362, pp.787-805, 1817.

A. Khurana, Electrical conductivity in the infinite-dimensional Hubbard model, Physical Review Letters, vol.62, issue.16, pp.1990-1990, 1990.
DOI : 10.1088/0370-1298/62/7/303

Y. Yee and . Lim, Monoclinic and correlated metal phase in VO 2 as evidence of the Mott transition: Coherent phonon analysis, Physical Review Letters, vol.97, issue.26

T. C. Koethe, Z. Hu, M. W. Haverkort, C. Schüßler-langeheine, F. Venturini et al., Transfer of spectral weight and symmetry across the metal-insulator transition in VO 2, Physical Review Letters, vol.97, issue.11, 2006.

G. Kotliar and D. Vollhardt, Strongly Correlated Materials: Insights From Dynamical Mean-Field Theory, Physics Today, vol.57, issue.3, pp.53-59, 2004.
DOI : 10.1126/science.1087179

G. Kotliar, E. Lange, and M. J. Rozenberg, Landau Theory of the Finite Temperature Mott Transition, Physical Review Letters, vol.75, issue.22, pp.5180-5183, 2000.
DOI : 10.1103/PhysRevLett.75.105

G. Kotliar, S. Y. Savrasov, G. Pálsson, and G. Biroli, Cellular Dynamical Mean Field Approach to Strongly Correlated Systems, Physical Review Letters, vol.37, issue.18
DOI : 10.1103/PhysRevB.37.3774

URL : http://arxiv.org/pdf/cond-mat/0010328

C. Kübler, H. Ehrke, R. Huber, R. Lopez, A. Halabica et al., Coherent structural dynamics and electronic correlations during an ultrafast insulatorto-metal phase transition in VO 2, Physical Review Letters, vol.99, issue.11

L. A. Ladd and W. Paul, Optical and transport properties of high quality crystals of V2O4 near the metallic transition temperature, Solid State Communications, vol.7, issue.4, pp.425-4280038, 1969.
DOI : 10.1016/0038-1098(69)90888-6

E. Lange, Renormalized Versus Unrenormalized Perturbation-Theoretical Approaches to the Mott Transition, Modern Physics Letters B, vol.12, issue.22, pp.915-919, 1998.
DOI : 10.1103/PhysRevLett.77.131

URL : http://arxiv.org/pdf/cond-mat/9810208

J. Laverock, S. Kittiwatanakul, A. A. Zakharov, Y. R. Niu, B. Chen et al., Direct observation of decoupled structural and electronic transitions and an ambient pressure monocliniclike metallic phase of VO 2, Phys. Rev. Lett, vol.113, issue.21

B. Lazarovits, K. Kim, K. Haule, and G. Kotliar, Effects of strain on the electronic structure of VO 2, Physical Review B, vol.81, issue.11

H. Lee, Y. Zhang, H. O. Jeschke, and R. Valentí, Competition between band and Mott insulators in the bilayer Hubbard model: A dynamical cluster approximation study, Physical Review B, vol.89, issue.3
DOI : 10.1103/PhysRevB.84.020401

J. Ni, H. A. Lu, M. C. Bechtel, M. B. Martin, R. D. Raschke et al., Phase transition in bulk single crystals and thin films of VO 2 by nanoscale infrared spectroscopy and imaging, Physical Review B, vol.91, issue.24, 2015.

W. Liu, J. Cao, W. Fan, Z. Hao, M. C. Martin et al., Intrinsic Optical Properties of Vanadium Dioxide near the Insulator???Metal Transition, Nano Letters, vol.11, issue.2, pp.466-470, 2011.
DOI : 10.1021/nl1032205

T. Maier, M. Jarrell, T. Pruschke, and M. H. Hettler, Quantum cluster theories. Reviews of Modern Physics, pp.1027-1080, 2005.
DOI : 10.1103/revmodphys.77.1027

URL : http://arxiv.org/pdf/cond-mat/0404055

C. Marini, L. Baldassarre, M. Baldini, A. Perucchi, D. D. Castro et al., Evidence for a monoclinic metallic phase in high-pressure VO 2 . High Pressure Research, pp.55-59, 2010.

B. Mayer, C. Schmidt, A. Grupp, J. Bühler, J. Oelmann et al., Tunneling breakdown of a strongly correlated insulating state in VO 2 induced by intense multiterahertz excitation, Physical Review B, vol.91, issue.23

G. Mazza, A. Amaricci, M. Capone, and M. Fabrizio, Field-Driven Mott Gap Collapse and Resistive Switch in Correlated Insulators, Physical Review Letters, vol.2, issue.17
DOI : 10.1103/PhysRevB.92.075121

URL : http://europepmc.org/articles/pmc5423525?pdf=render

A. S. Mcleod, P. Kelly, M. D. Goldflam, Z. Gainsforth, A. J. Westphal et al., Model for quantitative tip-enhanced spectroscopy and the extraction of nanoscale-resolved optical constants, Physical Review B, vol.345, issue.8
DOI : 10.1017/CBO9780511813535

A. S. Mcleod, E. Van-heumen, J. G. Ramirez, S. Wang, T. Saerbeck et al., Nanotextured phase coexistence in the correlated insulator V2O3, Nature Physics, vol.85, issue.1, pp.80-86, 2016.
DOI : 10.1103/PhysRevLett.85.3029

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.
DOI : 10.1063/1.1700747

W. Metzner and D. Vollhardt, Dimensions, Physical Review Letters, vol.61, issue.3, pp.324-327, 1989.
DOI : 10.1103/PhysRevLett.61.2582

A. J. Millis, Optical Conductivity and Correlated Electron Physics Physics and chemistry of materials with low-dimensional structures, pp.978-979, 2004.

G. Moeller, V. Dobrosavljevi?, and A. E. Ruckenstein, RKKY interactions and the Mott transition, Physical Review B, vol.28, issue.10, pp.6846-6854, 1999.
DOI : 10.1103/PhysRevB.28.6904

URL : http://arxiv.org/pdf/cond-mat/9812185

F. J. Morin, Oxides Which Show a Metal-to-Insulator Transition at the Neel Temperature, Physical Review Letters, vol.5, issue.1
DOI : 10.1016/0022-3697(58)90035-0

V. R. Morrison, R. P. Chatelain, K. L. Tiwari, A. Hendaoui, A. Bruhács et al., A photoinduced metal-like phase of monoclinic VO2 revealed by ultrafast electron diffraction, Science, vol.102, issue.5857, pp.445-448, 2014.
DOI : 10.1063/1.4792277

E. Müller-hartmann, The hubbard model at high dimensions: Some exact results and weak coupling theory, pp.211-217, 1989.

E. Müller-hartmann, Correlated fermions on a lattice in high dimensions, Zeitschrift für Physik B Condensed Matter, pp.507-512, 1989.

J. Nag, R. F. Haglund, E. A. Payzant, and K. L. More, Non-congruence of thermally driven structural and electronic transitions in VO 2, Journal of Applied Physics, vol.112, issue.10

O. Nájera, M. Civelli, V. Dobrosavljevi?, and M. J. Rozenberg, Resolving the VO 2 controversy: Mott mechanism dominates the insulator-to-metal transition, Physical Review B, vol.95, issue.3

M. Nakajima, N. Takubo, Z. Hiroi, Y. Ueda, and T. Suemoto, Photoinduced metallic state in VO[sub 2] proved by the terahertz pump-probe spectroscopy, Applied Physics Letters, vol.130, issue.1, p.11907, 2008.
DOI : 10.1088/0953-8984/19/7/076207

J. Negele and H. Orland, Quantum many-particle systems. Frontiers in physics, URL, 1988.

R. M. Noack and F. Gebhard, Mott-Hubbard Transition in Infinite Dimensions, Physical Review Letters, vol.72, issue.9, pp.1915-1918, 1999.
DOI : 10.1103/PhysRevLett.72.1545

L. Novotny and B. Hecht, Principles of Nano-Optics, p.2012
DOI : 10.1017/cbo9780511813535

B. T. O-'callahan, A. C. Jones, J. H. Park, D. H. Cobden, J. M. Atkin et al., Inhomogeneity of the ultrafast insulator-to-metal transition dynamics of VO 2, Nature Communications, vol.6, p.6849, 2015.

O. Parcollet, G. Biroli, and G. Kotliar, Cluster Dynamical Mean Field Analysis of the Mott Transition, Physical Review Letters, vol.91, issue.22, pp.1079-7114, 2004.
DOI : 10.1103/PhysRevLett.85.5420

URL : https://hal.archives-ouvertes.fr/hal-00128149

H. Park, K. Haule, and G. Kotliar, Cluster Dynamical Mean Field Theory of the Mott Transition, Physical Review Letters, vol.101, issue.18, p.186403, 2008.
DOI : 10.1103/PhysRevLett.94.226602

A. Pashkin, C. Kübler, H. Ehrke, R. Lopez, A. Halabica et al., Ultrafast insulator-metal phase transition in V0 2 studied by multiterahertz spectroscopy, Physical Review B, vol.83, issue.19, 195120.
DOI : 10.1103/physrevb.83.195120

URL : https://epub.uni-regensburg.de/30886/1/PhysRevB.83.195120.pdf

A. Pergament, Metal???insulator transition: the Mott criterion and coherence length, Journal of Physics: Condensed Matter, vol.15, issue.19, pp.3217-32230953, 2003.
DOI : 10.1088/0953-8984/15/19/322

D. Pines and P. Nozières, The Theory of Quantum Liquids, American Journal of Physics, vol.36, issue.3
DOI : 10.1119/1.1974502

B. J. Powell and R. H. Mckenzie, Strong electronic correlations in superconducting organic charge transfer salts, Journal of Physics: Condensed Matter, vol.18, issue.45, pp.827-8660953, 2006.
DOI : 10.1088/0953-8984/18/45/R03

URL : http://arxiv.org/pdf/cond-mat/0607078

T. Pruschke, D. L. Cox, and M. Jarrell, Hubbard model at infinite dimensions: Thermodynamic and transport properties, Physical Review B, vol.64, issue.7, p.3553, 1993.
DOI : 10.1103/PhysRevLett.64.1990

URL : http://arxiv.org/pdf/cond-mat/9208006v1.pdf

F. Maser, O. G. Keilmann, D. N. Shpyrko, and . Basov, Nanoscale imaging of the electronic and structural transitions in vanadium dioxide, Phys. Rev. B, vol.83, issue.16

M. J. Rozenberg, G. Kotliar, and X. Y. Zhang, Mott-Hubbard transition in infinite dimensions, Physical Review Letters, vol.281, issue.8, pp.10181-10193, 1994.
DOI : 10.1098/rspa.1964.0190

M. J. Rozenberg, G. Kotliar, and H. Kajueter, Transfer of spectral weight in spectroscopies of correlated electron systems, Physical Review B, vol.28, issue.12, pp.8452-8468, 1996.
DOI : 10.1103/PhysRevB.34.1677

A. N. Rubtsov, V. V. Savkin, and A. I. Lichtenstein, Continuous-time quantum Monte Carlo method for fermions, Physical Review B, vol.115, issue.3
DOI : 10.1134/1.1800216

URL : http://arxiv.org/pdf/cond-mat/0411344

U. Schwingenschlögl and V. Eyert, The vanadium Magn??li phases VnO2n-1, Annalen der Physik, vol.13, issue.9, pp.475-510, 2004.
DOI : 10.1002/andp.200410099

P. Seth, I. Krivenko, M. Ferrero, and O. Parcollet, TRIQS/CTHYB: A continuous-time quantum Monte Carlo hybridisation expansion solver for quantum impurity problems, Computer Physics Communications, vol.200
DOI : 10.1016/j.cpc.2015.10.023

Z. Tao, T. T. Han, S. D. Mahanti, P. M. Duxbury, F. Yuan et al., Decoupling of structural and electronic phase transitions in VO 2, Physical Review Letters, vol.109, issue.16

J. M. Tomczak, F. Aryasetiawan, and S. Biermann, Effective bandstructure in the insulating phase versus strong dynamical correlations in metallic VO 2, Physical Review B, vol.78, issue.11

S. Wall, D. Wegkamp, L. Foglia, K. Appavoo, J. Nag et al., Ultrafast changes in lattice symmetry probed by coherent phonons, Nature Communications, vol.99, issue.1, p.721, 2012.
DOI : 10.1063/1.3635396

URL : http://www.nature.com/articles/ncomms1719.pdf

S. Wall, L. Foglia, D. Wegkamp, K. Appavoo, J. Nag et al., Tracking the evolution of electronic and structural properties of VO 2 during the ultrafast photoinduced insulator-metal transition, Phys. Rev. B, vol.87, issue.11

C. Weber, D. D. O-'regan, N. D. Hine, M. C. Payne, G. Kotliar et al., Vanadium Dioxide: A Peierls-Mott Insulator Stable against Disorder, Physical Review Letters, vol.94, issue.25
DOI : 10.1063/1.3609084

URL : http://wrap.warwick.ac.uk/78091/1/WRAP_Hine_Vanadium.pdf

D. Wegkamp, M. Herzog, L. Xian, M. Gatti, P. Cudazzo et al., Instantaneous band gap collapse in photoexcited monoclinic VO 2 due to photocarrier doping, Physical Review Letters, vol.113, issue.21
DOI : 10.1103/physrevlett.113.216401

URL : https://hal.archives-ouvertes.fr/hal-01113172

R. M. Wentzcovitch, W. W. Schulz, and P. B. Allen, : Peierls or Mott-Hubbard? A view from band theory, Physical Review Letters, vol.71, issue.43, pp.3389-3392, 1994.
DOI : 10.1103/PhysRevLett.71.1415

P. Werner and A. J. Millis, Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models, Physical Review B, vol.74, issue.15, pp.1-13
DOI : 10.1007/3-540-49372-7_20

URL : http://arxiv.org/pdf/cond-mat/0607136

P. Werner, A. Comanac, L. De-'medici, M. Troyer, and A. J. Millis, Continuous-Time Solver for Quantum Impurity Models, Physical Review Letters, vol.74, issue.7, p.76405, 2006.
DOI : 10.1103/PhysRevB.72.035122

URL : http://arxiv.org/pdf/cond-mat/0512727

R. Yoshida, T. Yamamoto, Y. Ishida, H. Nagao, T. Otsuka et al., Ultrafast photoinduced transition of an insulating VO 2 thin film into a nonrutile metallic state, Physical Review B, vol.89, issue.20

X. Y. Zhang, M. J. Rozenberg, and G. Kotliar, =??? Hubbard model at zero temperature, Physical Review Letters, vol.37, issue.11, pp.1666-1669, 1993.
DOI : 10.1103/PhysRevB.37.7382