Phase diagram, energy scales and nonlocal correlations in the Anderson lattice model

Abstract

We study the Anderson lattice model with one f-orbital per lattice site as the simplest model which describes generic features of heavy fermion materials. The resistivity and magnetic susceptibility results obtained within dynamical mean field theory (DMFT) for a nearly half-filled conduction band show the existence of a single energy scale $T^{\ast }$ which is similar to the single ion Kondo temperature $T_K^o$. To determine the importance of inter-site correlations, we have also solved the model within cellular DMFT (CDMFT) with two sites in a unit cell. The antiferromagnetic region on the phase diagram is much narrower than in the single-site solution, having a smaller critical hybridization $V_c$ and Néel temperature $T_N$. At temperatures above $T_N$ the nonlocal correlations are small, and the DMFT paramagnetic solution is in this case practically exact, which justifies the ab initio LDA+DMFT approach in theoretical studies of heavy fermions. Strong inter-site correlations in the CDMFT solution for $T<T_N$, however, indicate that they have to be properly treated in order to unravel the physical properties near the quantum critical point.

10 pages

References in corpus (15)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum Criticality in Heavy Fermion Metals
• Quantum Monte Carlo Impurity Solver for Cluster DMFT and Electronic Structure Calculations in Adjustable Base
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Unified explanation of the Kadowaki-Woods ratio in strongly correlated materials
• Modelling the Localized to Itinerant Electronic Transition in the Heavy Fermion System CeIrIn5
• Kondo resonance narrowing in d- and f-electron systems
• Antiferromagnetic criticality at a heavy-fermion quantum phase transition
• Evolution of a Large Fermi Surface in the Kondo Lattice
• Fermi surface topology of the two-dimensional Kondo lattice model: a dynamical cluster approximation approach
• Cellular Dynamical Mean Field Theory of the Periodic Anderson Model
• Understanding the Heavy Fermion Phenomenology from Microscopic Model
• Influence of disorder on incoherent transport near the Mott transition
• Coherence scale of coupled Anderson impurities
• Multiple temperature scales of the periodic Anderson model: the slave bosons approach

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• Temperature-dependent Fermi surface evolution in heavy fermion CeIrIn5
• Practical consequences of Luttinger-Ward functional multivaluedness for cluster DMFT methods
• The importance of Charge Fluctuations for the Topological Phase in SmB${}_6$
• Metamagnetism and Lifshitz Transitions in Models for Heavy Fermions
• Wigner-Mott scaling of transport near the two-dimensional metal-insulator transition
• On the separability of dynamical and non-local correlations in three dimensions
• Controlled bond expansion for DMRG ground state search at single-site costs
• Theory of Scanning Tunneling Spectroscopy: from Kondo Impurities to Heavy Fermion Materials
• Nonlocal Kondo effect and quantum critical phase in heavy fermion metals
• Emergent Coherent Lattice Behavior in Kondo Nanosystems
• Phase diagram and dynamics of the SU($\mathbf{N}$) symmetric Kondo lattice model
• Quantum phase transition in a two-dimensional Kondo-Heisenberg model: a Schwinger-boson large-N approach
• Energy Scales of the Doped Anderson Lattice Model
• Fine structure of spectra in the antiferromagnetic phase of the Kondo lattice model
• Fine structure of the spectra of the Kondo lattice model: two-site cellular DMFT study
• Mott metal-insulator transition in a modified periodic Anderson model: Insights from entanglement entropy and role of short-range spatial correlations
• Reentrant $s$-wave superconductivity in the periodic Anderson model with attractive conduction band Hubbard interaction