P. W. Anderson, Localized Magnetic States in Metals, Physical Review, vol.124, issue.1, pp.41-53, 1961.
DOI : 10.1103/PhysRev.124.41

P. W. Anderson, Basic notions of condensed matter physics, 1984.

N. Andrei and C. Destri, Solution of the Multichannel Kondo Problem, Physical Review Letters, vol.52, issue.5, pp.364-367, 1924.
DOI : 10.1103/PhysRevLett.52.364

R. Arita, K. Held, A. Lukoyanov, and V. Anisimov, Doped mott insulator as the origin of heavy-fermion behavior in LiV 2 O 4, Physical Review Letters, issue.16, pp.98166402-98166416, 2007.

N. Ashcroft and N. Mermin, Solid State Physics, p.14, 1976.

O. O. Bernal, D. E. Maclaughlin, H. G. Lukefahr, and B. Andraka, : Evidence for Kondo Disorder, Physical Review Letters, vol.75, issue.10, pp.2023-2026, 1995.
DOI : 10.1103/PhysRevLett.75.2023

Y. Sarma, M. Tokura, and . Onoda, Electronic structure of early 3d-transition-metal oxides by analysis of the 2p core-level photoemission spectra, Phys. Rev. B, vol.53, issue.3, pp.1161-1170, 1984.

S. Burdin, A. Georges, and D. R. , Coherence Scale of the Kondo Lattice, Physical Review Letters, vol.85, issue.5, pp.1048-1051, 2000.
DOI : 10.1103/PhysRevLett.85.1048

S. Burdin and V. Zlatic, Multiple temperature scales of the periodic Anderson model: Slave boson approach, Physical Review B, vol.79, issue.11, p.141, 2008.
DOI : 10.1103/PhysRevB.79.115139

M. Caffarel and W. Krauth, Exact diagonalization approach to correlated fermions in infinite dimensions: Mott transition and superconductivity, Physical Review Letters, vol.72, issue.10, pp.1545-1548, 1994.
DOI : 10.1103/PhysRevLett.72.1545

M. Capone, L. De-'medici, and A. Georges, Solving the dynamical mean-field theory at very low temperatures using the Lanczos exact diagonalization, Physical Review B, vol.76, issue.24, pp.76245116-52, 2007.
DOI : 10.1103/PhysRevB.76.245116

A. H. Castro-neto, G. Castilla, and B. A. Jones, -Electron Compounds, Physical Review Letters, vol.81, issue.16, pp.3531-3534, 1998.
DOI : 10.1103/PhysRevLett.81.3531
URL : https://hal.archives-ouvertes.fr/in2p3-00012076

P. Coleman, Theories of non-Fermi liquid behavior in heavy fermions, Physica B: Condensed Matter, vol.259, issue.261, pp.259-261353, 1999.
DOI : 10.1016/S0921-4526(98)00795-9

B. Coqblin, Strongly Correlated Electron Behaviors and Heavy Fermions in Anomalous Rare-earth and actinide Systems, AIP Conference Proceedings, pp.3-93, 2006.
DOI : 10.1063/1.2222266

E. Dagotto, Correlated electrons in high-temperature superconductors, Reviews of Modern Physics, vol.66, issue.3, pp.763-840, 1994.
DOI : 10.1103/RevModPhys.66.763

L. Leo, M. Civelli, and G. Kotliar, Cellular dynamical mean-field theory of the periodic Anderson model, Physical Review B, vol.77, issue.7, pp.75107-150, 2008.
DOI : 10.1103/PhysRevB.77.075107

L. De-'medici, A. Georges, and S. Biermann, Orbital-selective mott transition in multiband systems: Slave-spin representation and dynamical mean-field theory, Phys. Rev. B, issue.20, pp.72205124-150, 2005.

L. Degiorgi, The electrodynamic response of heavy-electron compounds, Reviews of Modern Physics, vol.71, issue.3, pp.687-734, 1999.
DOI : 10.1103/RevModPhys.71.687

L. Degiorgi, S. Thieme, H. R. Ott, M. Dressel, G. Grüner et al., The electrodynamic response of heavy-electron materials with magnetic phase transitions, Zeitschrift fur Physik B Condensed Matter, pp.367-380, 1997.
DOI : 10.1007/s002570050300

S. Doniach, The Kondo lattice and weak antiferromagnetism, Physica B+C, vol.91, pp.231-234, 1977.
DOI : 10.1016/0378-4363(77)90190-5

J. Flouquet, On the Heavy Fermion Road, p.20, 2005.
DOI : 10.1016/S0079-6417(05)15002-1

G. Gallavotti, Statistical Mechanics: a short treatise, p.30, 1999.
DOI : 10.1007/978-3-662-03952-6

D. J. García, K. Hallberg, and M. J. Rozenberg, Dynamical Mean Field Theory with the Density Matrix Renormalization Group, Physical Review Letters, vol.93, issue.24, pp.246403-54, 2004.
DOI : 10.1103/PhysRevLett.93.246403

D. J. García, E. Miranda, K. Hallberg, and M. J. Rozenberg, Mott transition in the Hubbard model away from particle-hole symmetry, Physical Review B, vol.75, issue.12, pp.75121102-95, 2007.
DOI : 10.1103/PhysRevB.75.121102

F. Gebhard, E. Jeckelmann, S. Mahlert, S. Nishimoto, and R. Noack, Fourth-order perturbation theory for the half-filled Hubbard model in infinite dimensions, Eur. Phys. J. B, vol.36, issue.4, pp.491-509, 2003.

A. Georges, Strongly Correlated Electron Materials: Dynamical Mean-Field Theory and Electronic Structure, AIP Conference Proceedings, pp.3-74, 2004.
DOI : 10.1063/1.1800733
URL : https://hal.archives-ouvertes.fr/hal-00001233

A. Georges and G. Kotliar, Hubbard model in infinite dimensions, Physical Review B, vol.45, issue.12, pp.6479-6483, 1992.
DOI : 10.1103/PhysRevB.45.6479

A. Georges, G. Kotliar, and W. Krauth, Superconductivity in the two band Hubbard model in infinite dimensions. LPTENS-93-10, p.150

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, Reviews of Modern Physics, vol.68, issue.1, pp.47-51, 1996.
DOI : 10.1103/RevModPhys.68.13

A. Georges, G. Kotliar, and Q. Si, Strongly Correlated Systems in Infinite Dimensions and Their Zero Dimensional Counterparts, International Journal of Modern Physics B, vol.06, issue.05n06, pp.705-730, 1992.
DOI : 10.1142/S0217979292000426

J. E. Gubernatis, M. Jarrell, R. N. Silver, and D. S. Sivia, Quantum Monte Carlo simulations and maximum entropy: Dynamics from imaginary-time data, Physical Review B, vol.44, issue.12, pp.6011-6029, 1991.
DOI : 10.1103/PhysRevB.44.6011

K. A. Hallberg, Density-matrix algorithm for the calculation of dynamical properties of low-dimensional systems, Physical Review B, vol.52, issue.14, pp.9827-9830, 1995.
DOI : 10.1103/PhysRevB.52.R9827

J. A. Hertz, Quantum critical phenomena, Physical Review B, vol.14, issue.3, pp.1165-1184, 1976.
DOI : 10.1103/PhysRevB.14.1165

A. C. Hewson, The Kondo Problem to Heavy Fermions, pp.41-43, 1993.

J. E. Hirsch and R. M. Fye, Monte Carlo Method for Magnetic Impurities in Metals, Physical Review Letters, vol.56, issue.23, pp.2521-2524, 1986.
DOI : 10.1103/PhysRevLett.56.2521

J. Hubbard, Electron Correlations in Narrow Energy Bands, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.276, issue.1365, pp.238-80, 1963.
DOI : 10.1098/rspa.1963.0204

J. Hubbard, Electron Correlations in Narrow Energy Bands. II. The Degenerate Band Case, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.277, issue.1369
DOI : 10.1098/rspa.1964.0019

J. Hubbard, Electron Correlations in Narrow Energy Bands. III. An Improved Solution, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.281, issue.1386
DOI : 10.1098/rspa.1964.0190

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

M. Jarrell, Symmetric periodic Anderson model in infinite dimensions, Physical Review B, vol.51, issue.12, pp.7429-7440, 1995.
DOI : 10.1103/PhysRevB.51.7429

M. Jarrell, H. Akhlaghpour, and T. Pruschke, Periodic Anderson model in infinite dimensions, Physical Review Letters, vol.70, issue.11, pp.1670-1673, 1993.
DOI : 10.1103/PhysRevLett.70.1670

H. Kajueter and G. Kotliar, New Iterative Perturbation Scheme for Lattice Models with Arbitrary Filling, Physical Review Letters, vol.77, issue.1, pp.131-134, 1996.
DOI : 10.1103/PhysRevLett.77.131

S. Kondo, D. Johnston, C. Swenson, F. Borsa, A. Mahajan et al., LiV 2 O4: A heavy fermion transition metal oxide, Physical Review Letters, issue.19, pp.783729-3732, 1997.

G. Kotliar, Landau theory of the Mott transition in the fully frustrated Hubbard model in infinite dimensions, The European Physical Journal B, vol.11, issue.1, pp.27-39, 1999.
DOI : 10.1007/s100510050914

G. Kotliar, E. Lange, and M. J. Rozenberg, Landau Theory of the Finite Temperature Mott Transition, Physical Review Letters, vol.84, issue.22, pp.5180-5183, 1980.
DOI : 10.1103/PhysRevLett.84.5180

G. Kotliar, S. Murthy, and M. J. Rozenberg, Compressibility Divergence and the Finite Temperature Mott Transition, Physical Review Letters, vol.89, issue.4, pp.46401-95, 2002.
DOI : 10.1103/PhysRevLett.89.046401

G. Kotliar and A. E. Ruckenstein, New Functional Integral Approach to Strongly Correlated Fermi Systems: The Gutzwiller Approximation as a Saddle Point, Physical Review Letters, vol.57, issue.11, pp.1362-1365, 1986.
DOI : 10.1103/PhysRevLett.57.1362

G. Kotliar, S. Y. Savrasov, K. Haule, V. S. Oudovenko, O. Parcollet et al., Electronic structure calculations with dynamical mean-field theory, Reviews of Modern Physics, vol.78, issue.3, p.865, 2006.
DOI : 10.1103/RevModPhys.78.865
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.475.7032

G. Kotliar and D. Vollardt, Strongly Correlated Materials: Insights From Dynamical Mean-Field Theory, Physics Today, vol.57, issue.3, pp.53-59, 2004.
DOI : 10.1063/1.1712502

L. Landau, The theory of a Fermi liquid, Soviet Physics JETP, vol.3, issue.8, pp.920-925, 1957.

L. Landau, On the theory of a Fermi liquid, Soviet Physics JETP, vol.8, issue.8, pp.70-74, 1959.

E. H. Lieb and F. Y. Wu, Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension, Physical Review Letters, vol.20, issue.25, pp.1445-1448, 1968.
DOI : 10.1103/PhysRevLett.20.1445

H. Löhneysen, A. Rosch, M. Vojta, and P. Wölfle, Fermi-liquid instabilities at magnetic quantum phase transitions, Reviews of Modern Physics, vol.79, issue.3, pp.1015-1075, 2007.
DOI : 10.1103/RevModPhys.79.1015

G. D. Mahan, Many-Particle Physics, pp.30-72, 1993.

N. Mathur, F. Grosche, S. Julian, I. Walker, D. Freye et al., Magnetically mediated superconductivity in heavy fermion compounds, Nature, issue.6688, pp.39439-39482, 1998.

W. Metzner, Linked-cluster expansion around the atomic limit of the Hubbard model, Physical Review B, vol.43, issue.10
DOI : 10.1103/PhysRevB.43.8549

W. Metzner and D. Vollhardt, Dimensions, Physical Review Letters, vol.62, issue.3, pp.324-327, 1989.
DOI : 10.1103/PhysRevLett.62.324

A. J. Millis, Effect of a nonzero temperature on quantum critical points in itinerant fermion systems, Physical Review B, vol.48, issue.10, pp.7183-7196, 1993.
DOI : 10.1103/PhysRevB.48.7183

E. Miranda, V. Dobrosavljevic, and G. Kotliar, Kondo disorder: a possible route towards non-Fermi-liquid behaviour, Journal of Physics: Condensed Matter, vol.8, issue.48, pp.9871-9900, 1996.
DOI : 10.1088/0953-8984/8/48/014

E. Miranda, V. Dobrosavljevi´cdobrosavljevi´c, and G. Kotliar, Disorder-Driven Non-Fermi-Liquid Behavior in Kondo Alloys, Physical Review Letters, vol.78, issue.2, pp.290-293, 1925.
DOI : 10.1103/PhysRevLett.78.290

E. Miranda, V. Dobrosavljevi´cdobrosavljevi´c, and G. Kotliar, Non-Fermi liquid behavior as a consequence of Kondo disorder, Physica B: Condensed Matter, vol.230, issue.232, pp.569-571, 1925.
DOI : 10.1016/S0921-4526(96)00749-1

T. Moriya and T. Takimoto, Anomalous Properties around Magnetic Instability in Heavy Electron Systems, Journal of the Physical Society of Japan, vol.64, issue.3, pp.960-969, 1995.
DOI : 10.1143/JPSJ.64.960

C. Noce, The periodic Anderson model: Symmetry-based results and some exact solutions, Physics Reports, vol.431, issue.4, pp.173-230, 2006.
DOI : 10.1016/j.physrep.2006.05.003

. Nozières, Some comments on Kondo lattices and the Mott transition, The European Physical Journal B, vol.6, issue.4, pp.447-457, 1998.
DOI : 10.1007/s100510050571

P. Nozières, Impuret??s magn??tiques et effet Kondo, Annales de Physique, vol.10, issue.1, pp.19-35, 1985.
DOI : 10.1051/anphys:0198500100101900

P. Nozières and A. Blandin, Kondo effect in real metals, Journal de Physique, vol.41, issue.3, pp.193-211, 1980.
DOI : 10.1051/jphys:01980004103019300

R. H. Ott, Progress in Low Temperature Physics, p.16, 1987.

C. Pépin, Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice, Physical Review Letters, vol.98, issue.20, pp.206401-150, 2007.
DOI : 10.1103/PhysRevLett.98.206401

C. Pépin, Selective Mott transition and heavy fermions, Physical Review B, vol.77, issue.24, pp.245129-150, 2008.
DOI : 10.1103/PhysRevB.77.245129

I. Peschel, X. Wang, M. Kaulke, and K. Hallberg, Density Matrix Renormalization, p.54, 1999.
DOI : 10.1007/BFb0106062

M. J. Rozenberg, R. Chitra, and G. Kotliar, Finite Temperature Mott Transition in the Hubbard Model in Infinite Dimensions, Physical Review Letters, vol.83, issue.17, pp.3498-3501, 1999.
DOI : 10.1103/PhysRevLett.83.3498

M. J. Rozenberg, G. Kotliar, and X. Y. Zhang, Mott-Hubbard transition in infinite dimensions, Physical Review Letters, vol.69, issue.8, pp.10181-10193, 1994.
DOI : 10.1103/PhysRevLett.69.1236

M. J. Rozenberg, G. Moeller, and G. Kotliar, THE METAL???INSULATOR TRANSITION IN THE HUBBARD MODEL AT ZERO TEMPERATURE II, Modern Physics Letters B, vol.08, issue.08n09, pp.535-543, 1994.
DOI : 10.1142/S0217984994000571

M. J. Rozenberg, X. Y. Zhang, and G. Kotliar, Mott-Hubbard transition in infinite dimensions, Physical Review Letters, vol.69, issue.8, pp.1236-1239, 1992.
DOI : 10.1103/PhysRevLett.69.1236

M. A. Ruderman and C. Kittel, Indirect Exchange Coupling of Nuclear Magnetic Moments by Conduction Electrons, Physical Review, vol.96, issue.1, pp.99-117, 1954.
DOI : 10.1103/PhysRev.96.99

S. Sachdev, Quantum Phase Transitions, 1999.

P. Sacramento and P. Schlottmann, Thermodynamics of the n-channel Kondo model for general n and impurity spin S in a magnetic field, Journal of Physics: Condensed Matter, vol.3, issue.48, pp.9687-9696, 1991.
DOI : 10.1088/0953-8984/3/48/010

E. Scheidt, T. Schreiner, K. Heuser, S. Koerner, and G. R. Stewart, A test for non-Fermi-liquid theory, Physical Review B, vol.58, issue.16, pp.10104-10106, 1922.
DOI : 10.1103/PhysRevB.58.R10104

U. Schollwöck, The density-matrix renormalization group, Reviews of Modern Physics, vol.77, issue.1, pp.259-54, 2005.
DOI : 10.1103/RevModPhys.77.259

J. R. Schrieffer and P. A. Wolff, Relation between the anderson and kondo hamiltonians

C. Seaman, M. Maple, B. Lee, S. Ghamaty, M. Torikachvili et al., Evidence for non-fermi liquid behavior in the kondo alloy Y 1?x U x Pd 3, Physical Review Letters, issue.20 21, pp.672882-2885, 1991.

A. Shimoyamada, S. Tsuda, K. Ishizaka, T. Kiss, T. Shimojima et al., Single Crystal: Indication of Kondo Resonance in the Photoemission Spectrum, Physical Review Letters, vol.96, issue.2, pp.26403-26417, 2006.
DOI : 10.1103/PhysRevLett.96.026403

Q. Si, S. Rabello, K. Ingersent, and J. L. Smith, Locally critical quantum phase transitions in strongly correlated metals, Enter text here, pp.186-214, 2001.

Q. Si, S. Rabello, K. Ingersent, and J. L. Smith, Local fluctuations in quantum critical metals, Physical Review B, vol.68, issue.11, pp.115103-107, 2003.
DOI : 10.1103/PhysRevB.68.115103

Q. Si, M. J. Rozenberg, G. Kotliar, and A. E. Ruckenstein, Correlation induced insulator to metal transitions, Physical Review Letters, vol.72, issue.17, pp.2761-2764, 1994.
DOI : 10.1103/PhysRevLett.72.2761

J. L. Smith and Q. Si, Spatial correlations in dynamical mean-field theory, Physical Review B, vol.61, issue.8, pp.615184-5193, 1928.
DOI : 10.1103/PhysRevB.61.5184

G. Sordi, A. Amaricci, and M. J. Rozenberg, Metal-Insulator Transitions in the Periodic Anderson Model, Physical Review Letters, vol.99, issue.19, pp.196403-98, 2007.
DOI : 10.1103/PhysRevLett.99.196403

G. R. Stewart, Heavy-fermion systems, Reviews of Modern Physics, vol.56, issue.4, pp.755-787, 1984.
DOI : 10.1103/RevModPhys.56.755

G. R. Stewart, -electron metals, Reviews of Modern Physics, vol.73, issue.4, pp.797-855, 2001.
DOI : 10.1103/RevModPhys.73.797
URL : https://hal.archives-ouvertes.fr/hal-01058773

A. N. Tahvildar-zadeh, M. Jarrell, and J. K. Freericks, Protracted screening in the periodic Anderson model, Physical Review B, vol.55, issue.6, pp.3332-3335, 1997.
DOI : 10.1103/PhysRevB.55.R3332

A. N. Tahvildar-zadeh, M. Jarrell, T. Pruschke, and J. K. Freericks, Evidence for exhaustion in the conductivity of the infinite-dimensional periodic Anderson model, Physical Review B, vol.60, issue.15
DOI : 10.1103/PhysRevB.60.10782

K. Umeo, H. Kadomatsu, and T. Takabatake, Non-Fermi-liquid behaviour at the pressure-induced antiferromagnetic to nonmagnetic transition in a heavy-fermion compound,, Journal of Physics: Condensed Matter, vol.8, issue.48, pp.9743-9758, 1996.
DOI : 10.1088/0953-8984/8/48/006

N. S. Vidhyadhiraja, On the specific heat of heavy-fermion systems using the periodic Anderson model, Europhysics Letters (EPL), vol.77, issue.3, p.36001, 1972.
DOI : 10.1209/0295-5075/77/36001

N. S. Vidhyadhiraja, A. N. Tahvildar-zadeh, M. Jarrell, and H. R. Krishnamurthy, ???Exhaustion??? physics in the periodic Anderson model from iterated perturbation theory, Europhysics Letters (EPL), vol.49, issue.4
DOI : 10.1209/epl/i2000-00171-0

P. Werner and A. J. Millis, Doping-driven Mott transition in the one-band Hubbard model, Physical Review B, vol.75, issue.8, pp.75085108-95, 2007.
DOI : 10.1103/PhysRevB.75.085108

S. R. White, Density matrix formulation for quantum renormalization groups, Physical Review Letters, vol.69, issue.19, pp.2863-2866, 1992.
DOI : 10.1103/PhysRevLett.69.2863

K. Yoshida and K. Yamada, Perturbation Expansion for the Anderson Hamiltonian, Progress of Theoretical Physics Supplement, vol.46, pp.244-255, 1970.
DOI : 10.1143/PTPS.46.244

J. Zaanen, G. A. Sawatzky, and J. W. Allen, Band gaps and electronic structure of transition-metal compounds, Physical Review Letters, vol.55, issue.4, pp.418-421, 1985.
DOI : 10.1103/PhysRevLett.55.418