I am grateful to F. Mila for the invitation to lecture on this subject in the " Troisième cycle de la Suisse Romande " in may and the other organizers of the school on " Oxydes à propriétés remarquables " (GDR 2069) at Aussois in june, Temmermann and D.Szotek for organizing lectures in Daresbury in june, 2002. ,
Ortiz and A. Ványolos for help with the notes of my lectures at Vietri. Hospitality of the KITP (Santa Barbara) and of ICTP (Trieste) is acknowledged. Support for research has been provided by CNRS, Ecole Polytechnique, the European Union (through the Marie Curie and RTN programs), and the Indo-French program of IFCPAR. REFERENCES 1, p.416, 1949. ,
Metal-insulator transitions, 1990. ,
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions, Reviews of Modern Physics, vol.68, issue.1, pp.13-125, 1996. ,
DOI : 10.1103/RevModPhys.68.13
Frequency-dependent screened interaction in Ni within the random-phase approximation, Physical Review B, vol.57, issue.8, pp.4364-4368, 1998. ,
DOI : 10.1103/PhysRevB.57.4364
Model for oxide metals and superconductors, 1991. ,
Metal-insulator transitions, Reviews of Modern Physics, vol.70, issue.4, p.1039, 1998. ,
DOI : 10.1103/RevModPhys.70.1039
Electronic Conduction in Oxides, Series in Solid-State Sciences 94, 2000. ,
Electronic structure and the properties of solids, 1989. ,
The physics of metals, pp.494-525, 1969. ,
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
Valence-band photoemission and optical absorption in nickel compounds, Physical Review B, vol.30, issue.2, p.957, 1984. ,
DOI : 10.1103/PhysRevB.30.957
Band gaps and electronic structure of transition-metal compounds, Physical Review Letters, vol.55, issue.4, p.418, 1985. ,
DOI : 10.1103/PhysRevLett.55.418
THE MOTT TRANSITION AND F ELECTRON PHYSICS, International Journal of Modern Physics B, vol.17, issue.28, pp.5101-5109, 2003. ,
DOI : 10.1142/S0217979203020235
Lectures on the Physics of Highly Correlated Electron Systems, Local moment physics in heavy electron systems, pp.79-160, 2002. ,
The Kondo problem to heavy fermions, 1993. ,
Coherence Scale of the Kondo Lattice, Physical Review Letters, vol.85, issue.5, pp.1048-1051, 2000. ,
DOI : 10.1103/PhysRevLett.85.1048
Dimensions, Physical Review Letters, vol.62, issue.3, p.324, 1989. ,
DOI : 10.1103/PhysRevLett.62.324
Hubbard model in infinite dimensions, Physical Review B, vol.45, issue.12, pp.6479-6483, 1992. ,
DOI : 10.1103/PhysRevB.45.6479
Hubbard model in infinite dimensions: A quantum Monte Carlo study, Physical Review Letters, vol.69, issue.1, pp.168-171, 1992. ,
DOI : 10.1103/PhysRevLett.69.168
Exact functionals, effective actions and dynamical mean-field theories: some remarks ., " in Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems, of NATO Science Series-II: Mathematics, Physics and Chemistry, 2002. ,
Mott-Hubbard transition in infinite dimensions, Physical Review Letters, vol.69, issue.8, p.1236, 1992. ,
DOI : 10.1103/PhysRevLett.69.1236
=??? Hubbard model: Evidence for a Mott transition, Physical Review Letters, vol.69, issue.8, pp.1240-1243, 1992. ,
DOI : 10.1103/PhysRevLett.69.1240
Finite-temperature numerical renormalization group study of the Mott transition, Physical Review B, vol.64, issue.4, p.45103, 2001. ,
DOI : 10.1103/PhysRevB.64.045103
Quantum impurity solvers using a slave rotor representation, Physical Review B, vol.66, issue.16, p.165111, 2002. ,
DOI : 10.1103/PhysRevB.66.165111
URL : https://hal.archives-ouvertes.fr/hal-00985167
Corrections to the Infinite-Dimensional Limit of Correlated Lattice Electron Models, Physical Review Letters, vol.75, issue.1, p.113, 1996. ,
DOI : 10.1103/PhysRevLett.75.113
Nonlocal dynamical correlations of strongly interacting electron systems, Physical Review B, vol.58, issue.12, p.7475, 1998. ,
DOI : 10.1103/PhysRevB.58.R7475
Cellular Dynamical Mean Field Approach to Strongly Correlated Systems, Physical Review Letters, vol.87, issue.18, p.186401, 2001. ,
DOI : 10.1103/PhysRevLett.87.186401
URL : http://arxiv.org/abs/cond-mat/0010328
Deconfinement Transition and Luttinger to Fermi Liquid Crossover in Quasi-One-Dimensional Systems, Physical Review Letters, vol.87, issue.27, p.276405, 2001. ,
DOI : 10.1103/PhysRevLett.87.276405
URL : https://hal.archives-ouvertes.fr/hal-00110607
Kosterlitz-Thouless Transition and Short Range Spatial Correlations in an Extended Hubbard Model, Physical Review Letters, vol.77, issue.16, p.3391, 1996. ,
DOI : 10.1103/PhysRevLett.77.3391
=0 spin-glass transition, Physical Review B, vol.52, issue.14, pp.10295-10302, 1995. ,
DOI : 10.1103/PhysRevB.52.10295
Spatial correlations in dynamical mean-field theory, Physical Review B, vol.61, issue.8, p.5184, 2000. ,
DOI : 10.1103/PhysRevB.61.5184
Effective-action approach to strongly correlated fermion systems, Physical Review B, vol.63, issue.11, p.115110, 2001. ,
DOI : 10.1103/PhysRevB.63.115110
How to expand around mean-field theory using high-temperature expansions, Journal of Physics A: Mathematical and General, vol.24, issue.9, pp.2173-2192, 1991. ,
DOI : 10.1088/0305-4470/24/9/024
Renormalization and effective lagrangians, Nuclear Physics B, vol.231, issue.2, p.269, 1984. ,
DOI : 10.1016/0550-3213(84)90287-6
Exact multilocal renormalization group and applications to disordered problems, Physical Review E, vol.64, issue.5, p.51102, 2001. ,
DOI : 10.1103/PhysRevE.64.051102
Thermal Properties of the Inhomogeneous Electron Gas, Physical Review, vol.137, issue.5A, p.1441, 1965. ,
DOI : 10.1103/PhysRev.137.A1441
Inhomogeneous Electron Gas, Physical Review, vol.136, issue.3B, p.864, 1964. ,
DOI : 10.1103/PhysRev.136.B864
Self-Consistent Equations Including Exchange and Correlation Effects, Physical Review, vol.140, issue.4A, p.1133, 1965. ,
DOI : 10.1103/PhysRev.140.A1133
Density Functional Theory through Legendre Transformation, Progress of Theoretical Physics, vol.92, issue.4, p.833, 1994. ,
DOI : 10.1143/ptp/92.4.833
Density-functional theory of one-electron propagators, Physics Letters A, vol.227, issue.3-4, p.265, 1997. ,
DOI : 10.1016/S0375-9601(97)00055-8
Density Functional Theory, 1990. ,
DOI : 10.1007/978-3-642-86105-5
The density functional formalism, its applications and prospects, Reviews of Modern Physics, vol.61, issue.3, p.689, 1989. ,
DOI : 10.1103/RevModPhys.61.689
On the validity of the inverse conjecture in classical density functional theory, Journal of Statistical Physics, vol.25, issue.3-4, p.471, 1984. ,
DOI : 10.1007/BF01010992
Density functional approach to quantum lattice systems, Journal of Statistical Physics, vol.XXXV, issue.3-4, p.497, 1985. ,
DOI : 10.1007/BF01010474
Adiabatic-connection approach to Kohn-Sham theory, Physical Review A, vol.29, issue.4, p.1648, 1984. ,
DOI : 10.1103/PhysRevA.29.1648
New approach in the microscopic Fermi systems theory, Physics Reports, vol.249, issue.1-2, p.1, 1994. ,
DOI : 10.1016/0370-1573(94)00059-X
Dynamical mean-field theory and electronic structure calculations, Physical Review B, vol.62, issue.19, p.12715, 2000. ,
DOI : 10.1103/PhysRevB.62.12715
URL : http://arxiv.org/abs/cond-mat/9911056
Calculated Bulk Properties of the Actinide Metals, Physical Review Letters, vol.41, issue.1, pp.42-45, 1978. ,
DOI : 10.1103/PhysRevLett.41.42
-electron Delocalization in Americium, Physical Review Letters, vol.44, issue.18, pp.1230-1233, 1980. ,
DOI : 10.1103/PhysRevLett.44.1230
URL : https://hal.archives-ouvertes.fr/hal-00419575
Electronic structure of metallic oxides: Band-gap closure and valence control, Journal of Physics and Chemistry of Solids, vol.53, issue.12, p.1595, 1992. ,
DOI : 10.1016/0022-3697(92)90149-8
Mott Transition, Antiferromagnetism, and Unconventional Superconductivity in Layered Organic Superconductors, Physical Review Letters, vol.85, issue.25, p.5420, 2000. ,
DOI : 10.1103/PhysRevLett.85.5420
URL : http://arxiv.org/abs/cond-mat/0004455
Dramatic Switching of Magnetic Exchange in a Classic Transition Metal Oxide: Evidence for Orbital Ordering, Physical Review Letters, vol.78, issue.3, p.507, 1997. ,
DOI : 10.1103/PhysRevLett.78.507
Frustrated spin systems, World Scientific, 2003. ,
Physical properties of the half-filled Hubbard model in infinite dimensions, Physical Review B, vol.48, issue.10, pp.7167-7182, 1993. ,
DOI : 10.1103/PhysRevB.48.7167
Mott-Hubbard transition in infinite dimensions. II, Physical Review B, vol.49, issue.15, p.10181, 1994. ,
DOI : 10.1103/PhysRevB.49.10181
Effect of a magnetic field on Mott-Hubbard systems, Physical Review B, vol.50, issue.5, pp.3092-3102, 1994. ,
DOI : 10.1103/PhysRevB.50.3092
Cohérence et localisation dans les systèmes d'électrons fortement corrélés, 2003. ,
ArXiv Condensed Matter e-prints, 2003. ,
configuration, Physical Review Letters, vol.69, issue.12, p.1796, 1992. ,
DOI : 10.1103/PhysRevLett.69.1796
: A tale of two energy scales, Europhysics Letters (EPL), vol.55, issue.2, p.246, 2001. ,
DOI : 10.1209/epl/i2001-00406-6
and the local impurity self-consistent approximation model, Physical Review B, vol.58, issue.7, p.3690, 1998. ,
DOI : 10.1103/PhysRevB.58.3690
??-?? transition in Ce: A detailed analysis of electron spectroscopy, Physical Review B, vol.45, issue.16, p.8934, 1992. ,
DOI : 10.1103/PhysRevB.45.8934
Optical Conductivity in Mott-Hubbard Systems, Physical Review Letters, vol.75, issue.1, p.105, 1995. ,
DOI : 10.1103/PhysRevLett.75.105
Infrared optical properties of the 12K organic superconductor ??-(BEDT-TTF)2Cu[N(CN)2]Br, Solid State Communications, vol.79, issue.7, p.583, 1991. ,
DOI : 10.1016/0038-1098(91)90914-H
Transport properties of strongly correlated metals: A dynamical mean-field approach, Physical Review B, vol.61, issue.12, p.7996, 2000. ,
DOI : 10.1103/PhysRevB.61.7996
Electrical conductivity in the infinite-dimensional Hubbard model, Physical Review Letters, vol.64, issue.16, p.1990, 1990. ,
DOI : 10.1103/PhysRevLett.64.1990
Critical Behavior near the Mott Transition in the Hubbard Model, Physical Review Letters, vol.74, issue.11, p.2082, 1995. ,
DOI : 10.1103/PhysRevLett.74.2082
Thermoelectric Response Near the Density Driven Mott Transition, Physical Review Letters, vol.80, issue.21, pp.4775-4778, 1998. ,
DOI : 10.1103/PhysRevLett.80.4775
Coherence???incoherence and dimensional crossover in layered
strongly correlated metals, Nature, vol.382, issue.6889, p.627, 2002. ,
DOI : 10.1103/PhysRevLett.81.5636
New Model Hamiltonian for the Metal-Insulator Transition, Physical Review Letters, vol.43, issue.26, p.1957, 1979. ,
DOI : 10.1103/PhysRevLett.43.1957
Landau Theory of the Finite Temperature Mott Transition, Physical Review Letters, vol.84, issue.22, p.5180, 2000. ,
DOI : 10.1103/PhysRevLett.84.5180
Finite Temperature Mott Transition in the Hubbard Model in Infinite Dimensions, Physical Review Letters, vol.83, issue.17, p.3498, 1999. ,
DOI : 10.1103/PhysRevLett.83.3498
Universality and Critical Behavior at the Mott Transition, Science, vol.302, issue.5642, pp.89-92, 2003. ,
DOI : 10.1126/science.1088386
Phase stability in the Hubbard model, Solid State Communications, vol.11, issue.12, p.1767, 1972. ,
DOI : 10.1016/0038-1098(72)90790-9
Phonon anomalies due to strong electronic correlations in layered organic metals, Physical Review B, vol.62, issue.24, pp.16442-16445, 2000. ,
DOI : 10.1103/PhysRevB.62.16442
Phase Diagram of Layered Organic Superconductors: An Ultrasonic Investigation, Physical Review Letters, vol.90, issue.12, p.127002, 2003. ,
DOI : 10.1103/PhysRevLett.90.127002
ArXiv Condensed Matter e-prints, 2004. ,
First-principles calculations of the electronic structure and spectra of strongly correlated systems: dynamical mean-field theory, Journal of Physics: Condensed Matter, vol.9, issue.35, pp.7359-7367, 1997. ,
DOI : 10.1088/0953-8984/9/35/010
calculations of quasiparticle band structure in correlated systems: LDA++ approach, Physical Review B, vol.57, issue.12, pp.6884-6895, 1998. ,
DOI : 10.1103/PhysRevB.57.6884
REALISTIC MODELING OF STRONGLY CORRELATED ELECTRON SYSTEMS: AN INTRODUCTION TO THE LDA+DMFT APPROACH, International Journal of Modern Physics B, vol.15, issue.19n20, p.2611, 2001. ,
DOI : 10.1142/S0217979201006495
The LDA+DMFT Approach to Materials with Strong Electronic CorrelationsQuantum Simulations of Complex Many-Body Systems: From Theory to Algorithms, NIC Series, pp.175-209, 2001. ,
Dynamical Mean Field Theory, Model Hamiltonians and First Principles Electronic Structure Calculations, In "New Theoretical Approaches to Strongly Correlated Systems, of the Nato Advanced Study Institute on New Theoretical Approaches to Strongly Correlated Systems, 1999. ,
Spectral Density Functional Approach to Electronic Correlations and Magnetism in Crystals, Electron Correlations and Materials Properties 2, 2002. ,
DOI : 10.1007/978-1-4757-3760-8_4
Linear methods in band theory, Physical Review B, vol.12, issue.8, pp.3060-3083, 1975. ,
DOI : 10.1103/PhysRevB.12.3060
The LMTO method, 1984. ,
DOI : 10.1007/978-3-642-81844-8
Third generation MTOs, p.45, 2000. ,
Developing the MTO Formalism, Lecture Notes in Physics, vol.535, pp.3-3, 1998. ,
DOI : 10.1007/3-540-46437-9_1
Maximally localized generalized Wannier functions for composite energy bands, Physical Review B, vol.56, issue.20, pp.12847-12865, 1997. ,
DOI : 10.1103/PhysRevB.56.12847
method, Journal of Physics: Condensed Matter, vol.9, issue.4, pp.767-808, 1997. ,
DOI : 10.1088/0953-8984/9/4/002
Dynamical Mean-Field Theory, Physical Review Letters, vol.87, issue.6, p.67205, 2001. ,
DOI : 10.1103/PhysRevLett.87.067205
URL : https://hal.archives-ouvertes.fr/cea-01058818
Calculation of photoemission spectra of the doped Mott insulator using LDA+DMFT(QMC), The European Physical Journal B, vol.18, issue.1, pp.55-61, 2000. ,
DOI : 10.1007/s100510070077
Mott-Hubbard insulators for systems with orbital degeneracy, Physical Review B, vol.56, issue.3, pp.1146-1152, 1997. ,
DOI : 10.1103/PhysRevB.56.1146
Filling dependence of the Mott transition in the degenerate Hubbard model, Physical Review B, vol.60, issue.23, pp.15714-15720, 1999. ,
DOI : 10.1103/PhysRevB.60.15714
Mott transition at large orbital degeneracy:???Dynamical mean-field theory, Physical Review B, vol.66, issue.20, p.205102, 2002. ,
DOI : 10.1103/PhysRevB.66.205102
URL : https://hal.archives-ouvertes.fr/hal-00985168
orbitals, Physical Review B, vol.68, issue.6, p.60401, 2003. ,
DOI : 10.1103/PhysRevB.68.060401
Thermodynamic and spectral properties of compressed Ce calculated using a combined local-density approximation and dynamical mean-field theory, Physical Review B, vol.67, issue.7, p.75108, 2003. ,
DOI : 10.1103/PhysRevB.67.075108
calculations (LDAequiv local density approximation), Journal of Physics: Condensed Matter, vol.12, issue.8, pp.1723-1733, 2000. ,
DOI : 10.1088/0953-8984/12/8/315
Novel electronic configuration in ??????Pu, Journal of Alloys and Compounds, vol.287, issue.1-2, p.1, 1999. ,
DOI : 10.1016/S0925-8388(99)00063-8
Approximation and Dynamical Mean-Field Theory, Physical Review Letters, vol.90, issue.8, p.86402, 2003. ,
DOI : 10.1103/PhysRevLett.90.086402
method, Physical Review B, vol.66, issue.8, p.85120, 2002. ,
DOI : 10.1103/PhysRevB.66.085120
URL : https://hal.archives-ouvertes.fr/hal-00371644
ArXiv Condensed Matter e-prints, 2003. ,
Electronic Structure of Strongly Correlated Materials: Towards a First Principles Scheme, Physics of Spin in Solids: Materials, Methods, and Applications, 2004. ,
DOI : 10.1007/1-4020-2708-7_4
A First Principles Scheme for Calculating the Electronic Structure of Strongly Correlated Materials: GW+DMFT, " in Coincidence Studies of Surfaces,Thin Films and Nanostructures, 2003. ,
VARIATIONAL TOTAL ENERGIES FROM ??- AND ??- DERIVABLE THEORIES, International Journal of Modern Physics B, vol.13, issue.05n06, p.535, 1999. ,
DOI : 10.1142/S0217979299000436
method, Reports on Progress in Physics, vol.61, issue.3, p.237, 1998. ,
DOI : 10.1088/0034-4885/61/3/002