B. Johansson, I. A. Abrikosov, M. Aldén, A. V. Ruban, and H. L. Skriver, Transition in Ce, Physical Review Letters, vol.74, issue.12, p.2335, 1995.
DOI : 10.1103/PhysRevLett.74.2335

J. W. Allen and R. M. Martin, Transition in Cerium, Physical Review Letters, vol.49, issue.15, p.1106, 1982.
DOI : 10.1103/PhysRevLett.49.1106

J. W. Allen and L. Z. Liu, ??-?? transition in Ce. II. A detailed analysis of the Kondo volume-collapse model, Physical Review B, vol.46, issue.9, p.5047, 1992.
DOI : 10.1103/PhysRevB.46.5047

M. B. Zölfl, I. A. Nekrasov, T. Pruschke, V. I. Anisimov, and J. Keller, -Ce from Dynamical Mean-Field Theory and Local Density Approximation, Physical Review Letters, vol.87, issue.27, p.276403, 2001.
DOI : 10.1103/PhysRevLett.87.276403

K. Held, A. K. Mcmahan, and R. T. Scalettar, Cerium Volume Collapse: Results from the Merger of Dynamical Mean-Field Theory and Local Density Approximation, Physical Review Letters, vol.87, issue.27, p.276404, 2001.
DOI : 10.1103/PhysRevLett.87.276404

K. Haule, V. Oudovenko, S. Y. Savrasov, and G. Kotliar, Transition in Ce: A Theoretical View from Optical Spectroscopy, Physical Review Letters, vol.94, issue.3, p.36401, 2005.
DOI : 10.1103/PhysRevLett.94.036401

B. Amadon, S. Biermann, A. Georges, and F. Aryasetiawan, Transition of Cerium Is Entropy Driven, Physical Review Letters, vol.96, issue.6, p.66402, 2006.
DOI : 10.1103/PhysRevLett.96.066402

J. Bieder and B. Amadon, transition in cerium from first principles, Physical Review B, vol.89, issue.19, p.195132, 2014.
DOI : 10.1103/PhysRevB.89.195132

F. Nilsson, R. Sakuma, and F. Aryasetiawan, for the early lanthanides using the constrained random-phase approximation, Physical Review B, vol.88, issue.12, p.125123, 2013.
DOI : 10.1103/PhysRevB.88.125123

M. Casadei, X. Ren, P. Rinke, A. Rubio, and M. Scheffler, Phase Transition in Cerium, Physical Review Letters, vol.109, issue.14, p.146402, 2012.
DOI : 10.1103/PhysRevLett.109.146402

R. Sakuma, T. Miyake, and F. Aryasetiawan, approximation, Physical Review B, vol.86, issue.24, p.245126, 2012.
DOI : 10.1103/PhysRevB.86.245126

F. Decremps, L. Belhadi, D. L. Farber, K. T. Moore, F. Occelli et al., Phase Transition in Polycrystalline and Single-Crystal Cerium, Physical Review Letters, vol.106, issue.6, p.65701, 2011.
DOI : 10.1103/PhysRevLett.106.065701

URL : https://hal.archives-ouvertes.fr/hal-00640697

J. D. Thompson, Z. Fisk, J. M. Lawrence, J. L. Smith, and R. M. Martin, Phase Boundary of Cerium Alloys, Physical Review Letters, vol.50, issue.14, p.1081, 1983.
DOI : 10.1103/PhysRevLett.50.1081

M. Dzero, M. R. Norman, I. Paul, C. Pepin, and J. Schmalian, Quantum Critical End Point for the Kondo Volume Collapse Model, Physical Review Letters, vol.97, issue.18, p.185701, 2006.
DOI : 10.1103/PhysRevLett.97.185701

D. C. Koskenmaki and K. Gschneidner, Handbook on the Physics and Chemistry of Rare Earths (North-Holland, 1978.

M. Casula, C. Filippi, and S. Sorella, Diffusion Monte??Carlo Method with Lattice Regularization, Physical Review Letters, vol.95, issue.10, p.100201, 2005.
DOI : 10.1103/PhysRevLett.95.100201

M. Casula, S. Moroni, S. Sorella, and C. Filippi, Size-consistent variational approaches to nonlocal pseudopotentials: Standard and lattice regularized diffusion Monte Carlo methods revisited, The Journal of Chemical Physics, vol.132, issue.15, p.154113, 2010.
DOI : 10.1063/1.3380831

B. J. Beaudry, P. E. Palmer, and J. , Less-Common Met, p.225, 1974.

K. A. Gschneidner, Solid State Physics, pp.275-426, 1964.

J. Olsen, L. Gerward, U. Benedict, and J. Itié, The crystal structure and the equation of state of cerium metal in the pressure range 0???46 Gpa, Physica B+C, vol.133, issue.2-3, p.129, 1985.
DOI : 10.1016/0378-4363(85)90406-1

B. Johansson, A. V. Ruban, and I. A. Abrikosov, Comment on ???Thermal Signatures of the Kondo Volume Collapse in Cerium???, Physical Review Letters, vol.102, issue.18, p.189601, 2009.
DOI : 10.1103/PhysRevLett.102.189601

L. Dé-medici, A. Georges, G. Kotliar, and S. Biermann, -Electron Metals, Physical Review Letters, vol.95, issue.6, p.66402, 2005.
DOI : 10.1103/PhysRevLett.95.066402

URL : https://hal.archives-ouvertes.fr/in2p3-00020007

M. E. Manley, R. J. Mcqueeney, B. Fultz, T. Swan-wood, O. Delaire et al., at ambient pressure, Physical Review B, vol.67, issue.1, p.14103, 2003.
DOI : 10.1103/PhysRevB.67.014103

M. Casula, C. Attaccalite, and S. Sorella, Correlated geminal wave function for molecules:???An efficient resonating valence bond approach, The Journal of Chemical Physics, vol.121, issue.15, p.7110, 2004.
DOI : 10.1063/1.1794632

S. Sorella, M. Casula, and D. Rocca, Weak binding between two aromatic rings: Feeling the van der Waals attraction by quantum Monte Carlo methods, The Journal of Chemical Physics, vol.127, issue.1, p.14105, 2007.
DOI : 10.1063/1.2746035

F. Sterpone, L. Spanu, L. Ferraro, S. Sorella, and L. Guidoni, Dissecting the Hydrogen Bond: A Quantum Monte Carlo Approach, Journal of Chemical Theory and Computation, vol.4, issue.9, p.1428, 2008.
DOI : 10.1021/ct800121e

S. Sorella, M. Casula, L. Spanu, and A. Dal-corso, -tin diamond transition in silicon: Comparing theories with experiments, Physical Review B, vol.83, issue.7, p.75119, 2011.
DOI : 10.1103/PhysRevB.83.075119

URL : https://hal.archives-ouvertes.fr/hal-00356806

M. Marchi, S. Azadi, and S. Sorella, Fate of the Resonating Valence Bond in Graphene, Physical Review Letters, vol.107, issue.8, p.86807, 2011.
DOI : 10.1103/PhysRevLett.107.086807

M. Casula and S. Sorella, -wave symmetry of the electronic pairing in iron-based superconductors by first-principles calculations, Physical Review B, vol.88, issue.15, p.155125, 2013.
DOI : 10.1103/PhysRevB.88.155125

URL : https://hal.archives-ouvertes.fr/cea-01058940

A. Svane, Electronic structure of cerium in the self-interaction corrected local spin density approximation, Physical Review Letters, vol.72, issue.8, p.1248, 1994.
DOI : 10.1103/PhysRevLett.72.1248

Z. Szotek, W. M. Temmerman, and H. Winter, Self-interaction corrected, local spin density description of the ??????? transition in Ce, Physical Review Letters, vol.72, issue.8, p.1244, 1994.
DOI : 10.1103/PhysRevLett.72.1244

C. J. Umrigar, J. Toulouse, C. Filippi, S. Sorella, and R. G. Hennig, Alleviation of the Fermion-Sign Problem by Optimization of Many-Body Wave Functions, Physical Review Letters, vol.98, issue.11, p.110201, 2007.
DOI : 10.1103/PhysRevLett.98.110201

URL : https://hal.archives-ouvertes.fr/hal-00981187

S. Sorella and T. , Quantum Monte Carlo software for electronic structure calculations

S. Chiesa, D. M. Ceperley, R. M. Martin, and M. Holzmann, Finite-Size Error in Many-Body Simulations with Long-Range Interactions, Physical Review Letters, vol.97, issue.7, p.76404, 2006.
DOI : 10.1103/PhysRevLett.97.076404

H. Kwee, S. Zhang, and H. Krakauer, Finite-Size Correction in Many-Body Electronic Structure Calculations, Physical Review Letters, vol.100, issue.12, p.126404, 2008.
DOI : 10.1103/PhysRevLett.100.126404

M. Marchi, S. Azadi, M. Casula, and S. Sorella, Resonating valence bond wave function with molecular orbitals: Application to first-row molecules, The Journal of Chemical Physics, vol.131, issue.15, p.154116, 2009.
DOI : 10.1063/1.3249966

M. Casula, C. Attaccalite, and S. Sorella, Correlated geminal wave function for molecules:???An efficient resonating valence bond approach, The Journal of Chemical Physics, vol.121, issue.15, p.7110, 2004.
DOI : 10.1063/1.1794632

S. Sorella, M. Casula, and D. Rocca, Weak binding between two aromatic rings: Feeling the van der Waals attraction by quantum Monte Carlo methods, The Journal of Chemical Physics, vol.127, issue.1, p.14105, 2007.
DOI : 10.1063/1.2746035

F. Sterpone, L. Spanu, L. Ferraro, S. Sorella, and L. Guidoni, Dissecting the Hydrogen Bond: A Quantum Monte Carlo Approach, Journal of Chemical Theory and Computation, vol.4, issue.9, p.1428, 2008.
DOI : 10.1021/ct800121e

S. Sorella, M. Casula, L. Spanu, and A. Dal-corso, -tin diamond transition in silicon: Comparing theories with experiments, Physical Review B, vol.83, issue.7, p.75119, 2011.
DOI : 10.1103/PhysRevB.83.075119

URL : https://hal.archives-ouvertes.fr/hal-00356806

M. Marchi, S. Azadi, and S. Sorella, Fate of the Resonating Valence Bond in Graphene, Physical Review Letters, vol.107, issue.8, p.86807, 2011.
DOI : 10.1103/PhysRevLett.107.086807

M. Casula and S. Sorella, -wave symmetry of the electronic pairing in iron-based superconductors by first-principles calculations, Physical Review B, vol.88, issue.15, p.155125, 2013.
DOI : 10.1103/PhysRevB.88.155125

URL : https://hal.archives-ouvertes.fr/cea-01058940

C. J. Umrigar, J. Toulouse, C. Filippi, S. Sorella, and R. G. Hennig, Alleviation of the Fermion-Sign Problem by Optimization of Many-Body Wave Functions, Physical Review Letters, vol.98, issue.11, p.110201, 2007.
DOI : 10.1103/PhysRevLett.98.110201

URL : https://hal.archives-ouvertes.fr/hal-00981187

F. Decremps, L. Belhadi, D. L. Farber, K. T. Moore, F. Occelli et al., Phase Transition in Polycrystalline and Single-Crystal Cerium, Physical Review Letters, vol.106, issue.6, p.65701, 2011.
DOI : 10.1103/PhysRevLett.106.065701

URL : https://hal.archives-ouvertes.fr/hal-00640697

A. Svane, Electronic structure of cerium in the self-interaction corrected local spin density approximation, URL http, p.1248, 1994.
DOI : 10.1103/PhysRevLett.72.1248

M. Casadei, X. Ren, P. Rinke, A. Rubio, and M. Scheffler, Phase Transition in Cerium, URL http, p.146402, 2012.
DOI : 10.1103/PhysRevLett.109.146402

D. C. Koskenmaki and K. Gschneidner, Handbook on the Physics and Chemistry of Rare Earths (North-Holland, 1978.

Z. Szotek, W. M. Temmerman, and H. Winter, Self-interaction corrected, local spin density description of the ??????? transition in Ce, URL http, p.1244, 1994.
DOI : 10.1103/PhysRevLett.72.1244

S. Chiesa, D. M. Ceperley, R. M. Martin, and M. Holzmann, Finite-Size Error in Many-Body Simulations with Long-Range Interactions, Physical Review Letters, vol.97, issue.7, p.76404, 2006.
DOI : 10.1103/PhysRevLett.97.076404

H. Kwee, S. Zhang, and H. Krakauer, Finite-Size Correction in Many-Body Electronic Structure Calculations, Physical Review Letters, vol.100, issue.12, p.126404, 2008.
DOI : 10.1103/PhysRevLett.100.126404

M. Marchi, S. Azadi, M. Casula, and S. Sorella, Resonating valence bond wave function with molecular orbitals: Application to first-row molecules, URL http, p.154116, 2009.
DOI : 10.1063/1.3249966

R. Blum, F. Gehrke, P. Hanke, X. Havu, K. Ren et al., Ab initio molecular simulations with numeric atom-centered orbitals, Computer Physics Communications, vol.180, issue.11, p.2175, 2009.
DOI : 10.1016/j.cpc.2009.06.022

H. Booth, A. Grüneis, G. Kresse, and A. Alavi, Towards an exact description of electronic wavefunctions in real solids, Nature, vol.133, issue.7432, p.365, 2013.
DOI : 10.1038/nature11770

H. Zhang and . Krakauer, Quantum Monte Carlo Method using Phase-Free Random Walks with Slater Determinants, Physical Review Letters, vol.90, issue.13, p.136401, 2003.
DOI : 10.1103/PhysRevLett.90.136401

S. Purwanto, H. Zhang, and . Krakauer, Frozen-Orbital and Downfolding Calculations with Auxiliary-Field Quantum Monte Carlo, Journal of Chemical Theory and Computation, vol.9, issue.11, p.4825, 2013.
DOI : 10.1021/ct4006486

URL : http://arxiv.org/abs/1308.1393

C. J. Toulouse and . Umrigar, Full optimization of Jastrow???Slater wave functions with application to the first-row atoms and homonuclear diatomic molecules, The Journal of Chemical Physics, vol.128, issue.17, p.174101, 2008.
DOI : 10.1063/1.2908237

URL : https://hal.archives-ouvertes.fr/hal-00979110

S. Casula, S. Moroni, C. Sorella, and . Filippi, Size-consistent variational approaches to nonlocal pseudopotentials: Standard and lattice regularized diffusion Monte Carlo methods revisited, The Journal of Chemical Physics, vol.132, issue.15, p.154113, 2010.
DOI : 10.1063/1.3380831

M. Mcmahon, M. A. Morales, C. Pierleoni, and D. M. Ceperley, The properties of hydrogen and helium under extreme conditions, Reviews of Modern Physics, vol.84, issue.4, p.1607, 2012.
DOI : 10.1103/RevModPhys.84.1607

O. Coccia, M. Chernomor, S. Barborini, L. Sorella, and . Guidoni, Molecular Electrical Properties from Quantum Monte Carlo Calculations: Application to Ethyne, Journal of Chemical Theory and Computation, vol.8, issue.6, p.1952, 2012.
DOI : 10.1021/ct300171q

G. Mazzola and S. Sorella, Distinct Metallization and Atomization Transitions in Dense Liquid Hydrogen, Physical Review Letters, vol.114, issue.10, p.105701, 2015.
DOI : 10.1103/PhysRevLett.114.105701

K. Knizia and . Chan, Density Matrix Embedding: A Simple Alternative to Dynamical Mean-Field Theory, Physical Review Letters, vol.109, issue.18, p.186404, 2012.
DOI : 10.1103/PhysRevLett.109.186404

P. Foster and F. Weinhold, Natural hybrid orbitals, Journal of the American Chemical Society, vol.102, issue.24, p.7211, 1980.
DOI : 10.1021/ja00544a007

C. Burkatzki, M. Filippi, and . Dolg, Energy-consistent pseudopotentials for quantum Monte Carlo calculations, The Journal of Chemical Physics, vol.126, issue.23, p.234105, 2007.
DOI : 10.1063/1.2741534

S. Casula and . Sorella, Geminal wave functions with Jastrow correlation: A first application to atoms, The Journal of Chemical Physics, vol.119, issue.13, p.6500, 2003.
DOI : 10.1063/1.1604379

C. Casula, S. Attaccalite, and . Sorella, Correlated geminal wave function for molecules:???An efficient resonating valence bond approach, The Journal of Chemical Physics, vol.121, issue.15, p.7110, 2004.
DOI : 10.1063/1.1794632

M. Sorella, D. Casula, and . Rocca, Weak binding between two aromatic rings: Feeling the van der Waals attraction by quantum Monte Carlo methods, The Journal of Chemical Physics, vol.127, issue.1, p.14105, 2007.
DOI : 10.1063/1.2746035

L. Sterpone, L. Spanu, S. Ferraro, L. Sorella, and . Guidoni, Dissecting the Hydrogen Bond: A Quantum Monte Carlo Approach, Journal of Chemical Theory and Computation, vol.4, issue.9, p.1428, 2008.
DOI : 10.1021/ct800121e

M. Sorella, L. Casula, A. Spanu, and . Dal-corso, -tin diamond transition in silicon: Comparing theories with experiments, Physical Review B, vol.83, issue.7, p.75119, 2011.
DOI : 10.1103/PhysRevB.83.075119

URL : https://hal.archives-ouvertes.fr/hal-00356806

S. Marchi, S. Azadi, and . Sorella, Fate of the Resonating Valence Bond in Graphene, Physical Review Letters, vol.107, issue.8, p.86807, 2011.
DOI : 10.1103/PhysRevLett.107.086807

S. Casula and . Sorella, -wave symmetry of the electronic pairing in iron-based superconductors by first-principles calculations, Physical Review B, vol.88, issue.15, p.155125, 2013.
DOI : 10.1103/PhysRevB.88.155125

URL : https://hal.archives-ouvertes.fr/cea-01058940

S. Marchi, S. Azadi, and . Sorella, Resonating valence bond wave function with molecular orbitals: Application to first-row molecules, The Journal of Chemical Physics, vol.131, issue.15, p.154116, 2009.
DOI : 10.1063/1.3249966

A. Benedek, I. K. Snook, M. D. Towler, and R. J. Needs, Quantum Monte Carlo calculations of the dissociation energy of the water dimer, URL http, p.104302, 2006.
DOI : 10.1063/1.2338032

L. Sterpone, L. Spanu, S. Ferraro, L. Sorella, and . Guidoni, Dissecting the Hydrogen Bond: A Quantum Monte Carlo Approach, URL http, pp.1428-244105, 2008.
DOI : 10.1021/ct800121e

M. Dagrada, A. M. Casula, S. Saitta, F. Sorella, and . Mauri, Quantum Monte Carlo Study of the Protonated Water Dimer, Journal of Chemical Theory and Computation, vol.10, issue.5, p.1980, 2014.
DOI : 10.1021/ct401077x

URL : https://hal.archives-ouvertes.fr/hal-01003711

S. Marchi, M. Azadi, S. Casula, and . Sorella, Resonating valence bond wave function with molecular orbitals: Application to first-row molecules, URL http, p.154116, 2009.
DOI : 10.1063/1.3249966

X. Casadei, P. Ren, A. Rinke, M. Rubio, and . Scheffler, Phase Transition in Cerium, URL http URL http, p.146402, 2012.
DOI : 10.1103/PhysRevLett.109.146402

-. Tian, H. Song, H. Liu, C. Wang, Z. Fang et al., transition in cerium studied by an LDA + Gutzwiller method, URL http, pp.125148-161103, 2015.
DOI : 10.1103/PhysRevB.91.125148

W. Allen and R. M. Martin, Transition in Cerium, URL http, p.1106, 1982.
DOI : 10.1103/PhysRevLett.49.1106

K. Mcmahan, K. Held, and R. T. Scalettar, Thermodynamic and spectral properties of compressed Ce calculated using a combined local-density approximation and dynamical mean-field theory, URL http, p.75108, 2003.
DOI : 10.1103/PhysRevB.67.075108

S. Amadon, A. Biermann, F. Georges, and . Aryasetiawan, Transition of Cerium Is Entropy Driven, URL http, p.66402, 2006.
DOI : 10.1103/PhysRevLett.96.066402

J. Umrigar, J. Toulouse, C. Filippi, S. Sorella, and R. G. Hennig, Alleviation of the Fermion-Sign Problem by Optimization of Many-Body Wave Functions, Physical Review Letters, vol.98, issue.11, p.110201, 2006.
DOI : 10.1103/PhysRevLett.98.110201

URL : https://hal.archives-ouvertes.fr/hal-00981187

A. Morales, C. Pierleoni, E. Schwegler, and D. M. Ceperley, Evidence for a first-order liquid-liquid transition in high-pressure hydrogen from ab initio simulations, Proceedings of the National Academy of Sciences, vol.107, issue.29, p.12799, 2010.
DOI : 10.1073/pnas.1007309107

M. Soler, E. Artacho, J. D. Gale, A. Garcia, J. Junquera et al., materials simulation, URL http, p.2745, 2002.
DOI : 10.1088/0953-8984/14/11/302

C. Marini, M. Hogan, D. Grüning, . Varsano, and . Comp, yambo: An ab initio tool for excited state calculations, URL http, p.1392, 2009.
DOI : 10.1016/j.cpc.2009.02.003

S. Giannozzi, N. Baroni, M. Bonini, R. Calandra, C. Car et al., URL http://www.quantum-espresso.org. 57 This linear problem corresponds to a generalized eigensystem equation of the type ABx = ?x with A = ?s? ? a symmetric matrix and B = s a symmetric and positive definite one, and ? being the eigenvector and the corresponding eigenvalue, 2009.

F. Decremps, D. Belhadi, K. Farber, . Moore, . Occelli et al., Phase Transition in Polycrystalline and Single-Crystal Cerium, Physical Review Letters, vol.106, issue.6, p.65701, 2011.
DOI : 10.1103/PhysRevLett.106.065701

URL : https://hal.archives-ouvertes.fr/hal-00640697

E. Weschke, C. Laubschat, T. Simmons, M. Domke, O. Strebel et al., Surface and bulk electronic structure of Ce metal studied by high-resolution resonant photoemission, Physical Review B, vol.44, issue.15, pp.8304-8307, 1991.
DOI : 10.1103/PhysRevB.44.8304

E. Wuilloud, H. R. Moser, W. D. Schneider, and Y. Baer, -Ce, Physical Review B, vol.28, issue.12, pp.7354-7357, 1983.
DOI : 10.1103/PhysRevB.28.7354

H. Sheng, Polyamorphism in a metallic glass, Nature Materials, vol.439, issue.3, p.192, 2007.
DOI : 10.1038/nmat1839

J. Bieder, ´ Etude théorique de la transition de phase gamma-alpha du cérium : prise en compte des fortes corrélations en DFT+DMFT, 2013.

A. Svane, Electronic structure of cerium in the self-interaction corrected local spin density approximation, Physical Review Letters, vol.72, issue.8, pp.1248-1251, 1994.
DOI : 10.1103/PhysRevLett.72.1248

M. Casadei, X. Ren, P. Rinke, A. Rubio, and M. Scheffler, Phase Transition in Cerium, Physical Review Letters, vol.109, issue.14, p.146402, 2012.
DOI : 10.1103/PhysRevLett.109.146402

J. Bieder and B. Amadon, transition in cerium from first principles, Physical Review B, vol.89, issue.19, p.195132, 2014.
DOI : 10.1103/PhysRevB.89.195132

V. Alexander, . Nikolaev, V. Anatolij, and . Tsvyashchenko, The puzzle of gamma to alpha and other phase transitions in cerium, Physics-Uspekhi, vol.55, issue.7, p.657, 2012.

B. Johansson, The ??-?? transition in cerium is a Mott transition, Philosophical Magazine, vol.35, issue.3, pp.469-482, 1974.
DOI : 10.1080/14786439808206574

K. Held, A. K. Mcmahan, and R. T. Scalettar, Cerium Volume Collapse: Results from the Merger of Dynamical Mean-Field Theory and Local Density Approximation, Physical Review Letters, vol.87, issue.27, p.276404, 2001.
DOI : 10.1103/PhysRevLett.87.276404

W. M. Foulkes, L. Mitas, R. J. Needs, and G. , Quantum Monte Carlo simulations of solids, Reviews of Modern Physics, vol.73, issue.1, pp.33-83, 2001.
DOI : 10.1103/RevModPhys.73.33

M. Imada, A. Fujimori, and Y. Tokura, Metal-insulator transitions, Reviews of Modern Physics, vol.70, issue.4, pp.1039-1263, 1998.
DOI : 10.1103/RevModPhys.70.1039

D. John, W. Morgan, and . Kutzelnigg, Hund's rules, the alternating rule, and symmetry holes, The Journal of Physical Chemistry, vol.97, issue.10, pp.2425-2434, 1993.

A. K. Mcmahan, C. Huscroft, R. T. Scalettar, and E. L. Pollock, Volumecollapse transitions in the rare earth metals, Journal of Computer-Aided Materials Design, vol.5, issue.2/3, pp.131-162, 1998.
DOI : 10.1023/A:1008698422183

B. J. Beaudry and P. E. Palmer, The lattice parameters of La, Ce, Pr, Nd, Sm, Eu and Yb, Journal of the Less Common Metals, vol.34, issue.2, pp.225-231, 1974.
DOI : 10.1016/0022-5088(74)90163-5

A. F. Schuch and J. H. Sturdivant, The Structure of Cerium at the Temperature of Liquid Air, The Journal of Chemical Physics, vol.18, issue.1, p.145, 1950.
DOI : 10.1063/1.1747434

R. I. Beecroft and C. A. Swenson, On the existence of a critical point for the phase transition in cerium, Journal of Physics and Chemistry of Solids, vol.15, issue.3-4, pp.3-4234, 1960.
DOI : 10.1016/0022-3697(60)90247-X

A. R. Kutsar, Structure of Phases, Phase Transformations, and Phase Diagrams of Metallic Systems, 1974.

A. Jayaraman, Fusion Curve of Cerium to 70 Kilobar and Phenomena Associated with Supercritical Behavior of fcc Cerium, Physical Review, vol.137, issue.1A, p.179, 1965.
DOI : 10.1103/PhysRev.137.A179

L. Briant, L. H. Davis, and . Adams, X-ray diffraction evidence for a critical end point for cerium i and cerium {II}, Journal of Physics and Chemistry of Solids, vol.25, issue.4, pp.379-388, 1964.

D. C. Koskenmaki and K. A. Gschneidner, Handbook on the Physics and Chemistry of Rare Earths, 1978.

G. Eliashberg and H. Capellmann, On the nature of the ??-?? transition in cerium, Journal of Experimental and Theoretical Physics Letters, vol.67, issue.2, pp.125-132, 1998.
DOI : 10.1134/1.567644

A. V. Nikolaev and K. H. Michel, phase transition in Ce, Physical Review B, vol.66, issue.5, p.54103, 2002.
DOI : 10.1103/PhysRevB.66.054103

J. M. Lawrence, M. C. Croft, and R. D. Parks, Critical Behavior at a Valence Instability, Physical Review Letters, vol.35, issue.5, pp.289-292, 1975.
DOI : 10.1103/PhysRevLett.35.289

M. C. Croft and R. D. Parks, Valence Instabilities and Related Narrow Band Phenomena, 1977.

L. Pauling, Atomic Radii and Interatomic Distances in Metals, Journal of the American Chemical Society, vol.69, issue.3, pp.542-553, 1947.
DOI : 10.1021/ja01195a024

A. W. Lawson and T. Tang, Concerning the High Pressure Allotropic Modification of Cerium, Physical Review, vol.76, issue.2, pp.301-302, 1949.
DOI : 10.1103/PhysRev.76.301

B. Coqblin and A. Blandin, Stabilité des moments magnétiques localisés dans les métaux Advances in Physics, pp.281-366, 1968.

R. Ramirez and L. M. Falicov, Phase Transition in Metallic Cerium, Physical Review B, vol.3, issue.8, pp.2425-2430, 1971.
DOI : 10.1103/PhysRevB.3.2425

D. R. Gustafson and A. R. Mackintosh, Positron annihilation in rare-earth metals, Journal of Physics and Chemistry of Solids, vol.25, issue.4, pp.389-394, 1964.
DOI : 10.1016/0022-3697(64)90004-6

U. Kornstädt, R. Lässer, and B. Lengeler, phase transition in cerium by Compton scattering, Physical Review B, vol.21, issue.5, pp.1898-1901, 1980.
DOI : 10.1103/PhysRevB.21.1898

A. P. Murani, Z. A. Bowden, A. D. Taylor, R. Osborn, and W. G. Marshall, states in ??-Ce, Physical Review B, vol.48, issue.18, pp.13981-13984, 1993.
DOI : 10.1103/PhysRevB.48.13981

N. Mott, Metal-Insulator Transitions. Taylor and Francis Ltd, 1974.

J. W. Allen and R. M. Martin, Transition in Cerium, Physical Review Letters, vol.49, issue.15, pp.1106-1110, 1982.
DOI : 10.1103/PhysRevLett.49.1106

J. Kondo, Resistance minimum in dilute magnetic alloys. Progress of Theoretical Physics, pp.37-49, 1964.

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

J. Rueff, J. Itié, M. Taguchi, C. F. Hague, J. Mariot et al., Transition in Bulk Ce under Pressure: A Direct Investigation by Resonant Inelastic X-Ray Scattering, Physical Review Letters, vol.96, issue.23, p.237403, 2006.
DOI : 10.1103/PhysRevLett.96.237403

URL : https://hal.archives-ouvertes.fr/hal-00018658

M. J. Lipp, D. Jackson, H. Cynn, C. Aracne, W. J. Evans et al., Thermal Signatures of the Kondo Volume Collapse in Cerium, Physical Review Letters, vol.101, issue.16, p.165703, 2008.
DOI : 10.1103/PhysRevLett.101.165703

B. Johansson, A. V. Ruban, and I. A. Abrikosov, Comment on ???Thermal Signatures of the Kondo Volume Collapse in Cerium???, Physical Review Letters, vol.102, issue.18, p.189601, 2009.
DOI : 10.1103/PhysRevLett.102.189601

B. Johansson, I. A. Abrikosov, M. Aldén, A. V. Ruban, and H. L. Skriver, Transition in Ce, Physical Review Letters, vol.74, issue.12, pp.2335-2338, 1995.
DOI : 10.1103/PhysRevLett.74.2335

L. De-'medici, A. Georges, G. Kotliar, and S. Biermann, -Electron Metals, Physical Review Letters, vol.95, issue.6, p.66402, 2005.
DOI : 10.1103/PhysRevLett.95.066402

URL : https://hal.archives-ouvertes.fr/in2p3-00020007

J. Staun-olsen, L. Gerward, J. P. Dancausse, and E. Gering, Developments and new possibilities in high pressure powder diffraction with synchrotron radiation. Results for cerium metal and U6Fe, Physica B: Condensed Matter, vol.190, issue.1, p.92, 1993.
DOI : 10.1016/0921-4526(93)90448-F

A. Karl, . Jr, and . Gschneidner, Physical properties and interrelationships of metallic and semimetallic elements, of Solid State Physics, pp.275-426, 1964.

J. S. Olsen, L. Gerward, U. Benedict, and J. Itié, The crystal structure and the equation of state of cerium metal in the pressure range 0???46 Gpa, Physica B+C, vol.133, issue.2-3, pp.2-3129, 1985.
DOI : 10.1016/0378-4363(85)90406-1

B. Amadon and A. Gerossier, phase transition in cerium: A DFT+DMFT study using Wannier orbitals, Physical Review B, vol.91, issue.16, p.161103, 2015.
DOI : 10.1103/PhysRevB.91.161103

M. Born and R. Oppenheimer, Zur Quantentheorie der Molekeln, Annalen der Physik, vol.24, issue.20, pp.457-484, 1927.
DOI : 10.1002/andp.19273892002

D. R. Hartree, The Wave Mechanics of an Atom with a Non-Coulomb Central Field. Part I. Theory and Methods, Mathematical Proceedings of the Cambridge Philosophical Society, vol.24, issue.01, pp.89-110, 1928.
DOI : 10.1017/S0305004100011919

V. Fock, Bemerkung zur quantelung des harmonischen oszillators im magnetfeld. Zeitschrift für Physik, pp.446-448, 1928.
DOI : 10.1007/bf01390750

J. P. Perdew and K. Schmidt, Density functional theory and its application to materials, 2001.

D. M. Ceperley and B. J. Alder, Ground State of the Electron Gas by a Stochastic Method, Physical Review Letters, vol.45, issue.7, pp.566-569, 1980.
DOI : 10.1103/PhysRevLett.45.566

J. P. Perdew and A. Zunger, Self-interaction correction to density-functional approximations for many-electron systems, Physical Review B, vol.23, issue.10, pp.5048-5079, 1981.
DOI : 10.1103/PhysRevB.23.5048

M. R. Dreizler and E. K. Gross, Density Functional Theory : An Approach to the Quantum Many-Body Problem, 1990.
DOI : 10.1007/978-3-642-86105-5

O. Gunnarsson, M. Jonson, and B. I. Lundqvist, Descriptions of exchange and correlation effects in inhomogeneous electron systems, Physical Review B, vol.20, issue.8, pp.3136-3164, 1979.
DOI : 10.1103/PhysRevB.20.3136

J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized Gradient Approximation Made Simple, Physical Review Letters, vol.77, issue.18, pp.3865-3868, 1996.
DOI : 10.1103/PhysRevLett.77.3865

I. Vladimir, . Anisimov, A. Aryasetiawan, and . Lichtenstein, Firstprinciples calculations of the electronic structure and spectra of strongly correlated systems : the lda + u method, Journal of Physics : Condensed Matter, vol.9, issue.4, p.767, 1997.

V. I. Anisimov, I. V. Solovyev, M. A. Korotin, M. T. Czy?, and G. A. Sawatzky, Density-functional theory and NiO photoemission spectra, Physical Review B, vol.48, issue.23, pp.16929-16934, 1993.
DOI : 10.1103/PhysRevB.48.16929

L. Vaugier, Electronic Structure of Correlated Materials From First Principles : Hubbard interaction and Hund's exchange, 2011.

V. I. Anisimov and O. Gunnarsson, Density-functional calculation of effective Coulomb interactions in metals, Physical Review B, vol.43, issue.10, pp.7570-7574, 1991.
DOI : 10.1103/PhysRevB.43.7570

M. Cococcioni and S. De-gironcoli, method, Physical Review B, vol.71, issue.3, p.35105, 2005.
DOI : 10.1103/PhysRevB.71.035105

T. Miyake and F. Aryasetiawan, Screened Coulomb interaction in the maximally localized Wannier basis, Physical Review B, vol.77, issue.8, p.85122, 2008.
DOI : 10.1103/PhysRevB.77.085122

P. E. Blochl, Projector augmented-wave method, Physical Review B, vol.50, issue.24, pp.17953-17979, 1994.
DOI : 10.1103/PhysRevB.50.17953

P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car et al., QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials, Journal of Physics: Condensed Matter, vol.21, issue.39, p.395502, 2009.
DOI : 10.1088/0953-8984/21/39/395502

URL : https://hal.archives-ouvertes.fr/hal-00717147

A. I. Liechtenstein, V. I. Anisimov, and J. Zaanen, Density-functional theory and strong interactions: Orbital ordering in Mott-Hubbard insulators, Physical Review B, vol.52, issue.8, pp.5467-5470, 1995.
DOI : 10.1103/PhysRevB.52.R5467

B. Amadon, F. Jollet, and M. Torrent, calculations of ground-state parameters, Physical Review B, vol.77, issue.15, p.155104, 2008.
DOI : 10.1103/PhysRevB.77.155104

W. L. Roth, Magnetic Structures of MnO, FeO, CoO, and NiO, Physical Review, vol.110, issue.6, pp.1333-1341, 1958.
DOI : 10.1103/PhysRev.110.1333

J. S. Smart, Effective Field Theories of Magnetism. Studies in physics and chemistry, 1966.

C. J. Umrigar, J. Toulouse, C. Filippi, S. Sorella, and R. G. Hennig, Alleviation of the Fermion-Sign Problem by Optimization of Many-Body Wave Functions, Physical Review Letters, vol.98, issue.11, p.110201, 2007.
DOI : 10.1103/PhysRevLett.98.110201

URL : https://hal.archives-ouvertes.fr/hal-00981187

S. Sorella, Wave function optimization in the variational Monte Carlo method, Physical Review B, vol.71, issue.24, p.241103, 2005.
DOI : 10.1103/PhysRevB.71.241103

J. Peter, D. M. Reynolds, B. J. Ceperley, W. A. Alder, and . Lester, Fixed node, The Journal of Chemical Physics, vol.77, issue.11, pp.5593-5603, 1982.

S. Karlin and H. M. Taylor, A Second Course in Stochastic Processes, 1981.

M. Casula, C. Filippi, and S. Sorella, Diffusion Monte??Carlo Method with Lattice Regularization, Physical Review Letters, vol.95, issue.10, p.100201, 2005.
DOI : 10.1103/PhysRevLett.95.100201

M. Casula, Beyond the locality approximation in the standard diffusion Monte Carlo method, Physical Review B, vol.74, issue.16, p.161102, 2006.
DOI : 10.1103/PhysRevB.74.161102

M. Casula, S. Moroni, S. Sorella, and C. Filippi, Size-consistent variational approaches to nonlocal pseudopotentials: Standard and lattice regularized diffusion Monte Carlo methods revisited, The Journal of Chemical Physics, vol.132, issue.15, 2010.
DOI : 10.1063/1.3380831

M. Dolg, H. Stoll, and H. Preuss, pseudopotentials for the rare earth elements, The Journal of Chemical Physics, vol.90, issue.3, pp.1730-1734, 1989.
DOI : 10.1063/1.456066

H. Kwee, S. Zhang, and H. Krakauer, Finite-Size Correction in Many-Body Electronic Structure Calculations, Physical Review Letters, vol.100, issue.12, p.126404, 2008.
DOI : 10.1103/PhysRevLett.100.126404

S. Chiesa, D. M. Ceperley, R. M. Martin, and M. Holzmann, Finite-Size Error in Many-Body Simulations with Long-Range Interactions, Physical Review Letters, vol.97, issue.7, p.76404, 2006.
DOI : 10.1103/PhysRevLett.97.076404

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

J. Von-neumann, Mathematische Grundlagen der Quantenmechanik, 1932.

B. Amadon, A self-consistent dft-dmft scheme in the projector augmented wave method : applications to cerium, ce 2 o 3 and pu 2 o 3 with the hubbard i solver and comparison to dft-u, Journal of Physics : Condensed Matter, issue.7, p.24075604, 2012.

Q. Zeng, Y. Ding, W. L. Mao, W. Yang, S. V. Sinogeikin et al., Metallic Glass, Physical Review Letters, vol.104, issue.10, p.105702, 2010.
DOI : 10.1103/PhysRevLett.104.105702

URL : https://hal.archives-ouvertes.fr/hal-00925846

L. Belhadi, F. Decremps, S. Pascarelli, L. Cormier, Y. Le-godec et al., Polyamorphism in cerium based bulk metallic glasses: Electronic and structural properties under pressure and temperature by x-ray absorption techniques, Applied Physics Letters, vol.103, issue.11, 2013.
DOI : 10.1063/1.4820434

URL : https://hal.archives-ouvertes.fr/hal-00871644

B. Zhang, D. Q. Zhao, M. X. Pan, W. H. Wang, and A. L. Greer, Amorphous Metallic Plastic, Physical Review Letters, vol.94, issue.20, p.205502, 2005.
DOI : 10.1103/PhysRevLett.94.205502