# On the limits of application of Anderson and Kondo models in physics of strongly correlated electron systems

@article{Sluchanko2015OnTL,
title={On the limits of application of Anderson and Kondo models in physics of strongly correlated electron systems},
author={Nikolay Sluchanko},
journal={Low Temperature Physics},
year={2015},
volume={41},
pages={544-546}
}
• N. Sluchanko
• Published 30 July 2015
• Physics
• Low Temperature Physics
We argue that the Anderson and Kondo models turn out to be irrelevant for the description of some strongly correlated electron systems and suggest the mechanism for the formation of many-body states (heavy fermions) being an alternative to the Kondo one. This mechanism involves the quantum tunneling of a heavy particle between the states in the double-well potential.
3 Citations
A novel quantum field approach to photoexcited insulators
In order to predict optical properties of insulating materials under intensive laser excitation, we generalized methods of quantum electrodynamics, allowing us to simulate excitation of electrons and
Magnetism, quantum criticality, and metal-insulator transitions in $R\mathrm{B}_{12}$.
The physical properties of rare-earth (RE) dodecaborides, characterized by a cage-glass crystal structure with loosely bound RE ions, are reviewed. These compounds are strongly correlated electron
Magnetism trends in doped Ce-Cu intermetallics in the vicinity of quantum criticality: Realistic Kondo lattice models based on dynamical mean-field theory
• M. Matsumoto
• Physics, Materials Science
Physical Review Materials
• 2020
The quantum critical point (QCP) in the archetypical heavy-fermion compound CeCu$_6$ doped by Au is described, accounting for the localized $4f$-electron of Ce, using realistic electronic structure

## References

SHOWING 1-10 OF 26 REFERENCES
Relation between the Anderson and Kondo Hamiltonians
• Physics
• 1966
A canonical transformation is used to relate the Anderson model of a localized magnetic moment in a dilute alloy to that of Kondo. In the limit of small $s\ensuremath{-}d$ mixing, which is the most
Extended dynamical mean field theory study of the periodic Anderson model.
• Physics
Physical review letters
• 2003
A periodic Anderson model using extended dynamical mean field theory (EDMFT) with quantum Monte Carlo method is solved and the evolution of the electronic and magnetic properties is monitored simultaneously.
Consequences of the local spin self-energy approximation on the heavy-fermion quantum phase transition
• Physics
• 2005
We show, using the periodic Anderson model, that the local spin self-energy approximation, as implemented in the extended dynamical mean field theory (EDMFT), results in a first-order phase
Locally critical point in an anisotropic Kondo lattice.
• Physics
Physical review letters
• 2003
We report the first numerical identification of a locally quantum critical point at which the criticality of the local Kondo physics is embedded in that associated with a magnetic ordering. We are
Quantum critical properties of the Bose-Fermi Kondo model in a large-N limit.
• Physics
Physical review letters
• 2004
A dynamical large-N approach is used to analyze an SU(N)xSU(kappaN) generalization of the Bose-Fermi Kondo model to establish the existence in this limit of an unstable fixed point when the bosonic bath has a sub-Ohmic spectrum.
Magnetic quantum phase transition in an anisotropic kondo lattice.
• Physics
Physical review letters
• 2007
The quantum phase transition between paramagnetic and antiferromagnetic phases of the Kondo lattice model with Ising anisotropy in the intersite exchange is studied within extended dynamical
Continuous quantum phase transition in a Kndo lattice model.
• Physics
Physical review letters
• 2003
It is found that the finite-temperature magnetic transition, which occurs for sufficiently large RKKY interactions, is first order, and the extrapolated zero-tem temperature magnetic transition is continuous and locally critical.
Nature of heavy-fermion states arising in the vicinity of an isolated cerium or holmium magnetic impurity in LaB6
• Physics
• 2015
The behavior of the electrical resistivity and magnetoresistance of lanthanum hexaboride with isolated (∼1%) Ce or Ho magnetic impurities has been studied. It has been shown that the low-temperature
Localized Magnetic States in Metals
The conditions necessary in metals for the presence or absence of localized moments on solute ions containing inner shell electrons are analyzed. A self-consistent Hartree-Fock treatment shows that
Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Physics
• 2004
This paper is concerned with the weak-moment magnetism in heavy-fermion materials and its relation to the non-Fermi liquid physics observed near the transition to the Fermi liquid. We explore the