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The formation of a heavy Fermi liquid in metals with local moments is characterized by multiple energy and temperature scales, most prominently the Kondo temperature and the coherence temperature, characterizing the onset of Kondo screening…

Strongly Correlated Electrons · Physics 2024-01-10 Christos Kourris , Matthias Vojta

It is shown that the large-N approach yields two energy scales for the Kondo lattice model. The single-impurity Kondo temperature, $T_K$, signals the onset of local singlet formation, while Fermi liquid coherence sets in only below a lower…

Strongly Correlated Electrons · Physics 2009-10-31 S. Burdin , A. Georges , D. R. Grempel

Thermodynamic properties of the one-dimensional Kondo lattice model at half-filling are studied by the density matrix renormalization group method applied to the quantum transfer matrix. Spin susceptibility, charge susceptibility, and…

Strongly Correlated Electrons · Physics 2007-05-23 N. Shibata , B. Ammon , M. Troyer , M. Sigrist , K. Ueda

In this paper, a fermionic hierarchical model is defined, inspired by the Kondo model, which describes a 1-dimensional lattice gas of spin-1/2 electrons interacting with a spin-1/2 impurity. This model is proved to be exactly solvable, and…

Statistical Mechanics · Physics 2016-01-20 Giuseppe Benfatto , Giovanni Gallavotti , Ian Jauslin

The metallic phase of the two-orbital Anderson lattice is study in the limit of infinite spatial dimensions, where a second order perturbation treatment is used to solve the single-site problem. Using this approximation, in the Kondo…

Strongly Correlated Electrons · Physics 2009-10-31 Luis Craco

An effective Ising model for the spin-ice type Kondo lattice model is investigated by the classical Monte Carlo simulation. We clarify the magnetic phase diagram with four phases: ice-ferro, ice-(0,0,2\pi), 32-sublattice, and all-in/all-out…

Strongly Correlated Electrons · Physics 2014-08-29 Hiroaki Ishizuka , Masafumi Udagawa , Yukitoshi Motome

A class of fast-slow Hamiltonian systems with potential $U_\varepsilon$ describing the interaction of non-ergodic fast and slow degrees of freedom is studied. The parameter $\varepsilon$ indicates the typical timescale ratio of the fast and…

Mathematical Physics · Physics 2021-11-15 Matthias Klar , Karsten Matthies , Celia Reina , Johannes Zimmer

The Kondo-lattice model, which couples a lattice of localized magnetic moments to conduction electrons, is often used to describe heavy-fermion systems. Because of the interplay between Kondo physics and magnetic order it displays very…

Strongly Correlated Electrons · Physics 2017-08-24 T. R. Kirkpatrick , D. Belitz

In this work, we exactly solve a Kondo lattice model in the thermodynamic limit. The system consists of an electronic conduction band described by unconstrained hopping matrix elements between the lattice sites. The conducting electrons…

Condensed Matter · Physics 2009-10-22 D. F. Wang , C. Gruber

We investigate the electronic structure of cobalt atoms on a copper surface and in a copper host by combining density functional calculations with a numerically exact continuous-time quantum Monte Carlo treatment of the five-orbital…

We consider a magnetic impurity which interacts by hybridization with a system of weakly correlated electrons and determine the energy of the ground state by means of an 1/N_f expansion. The correlations among the conduction electrons are…

Condensed Matter · Physics 2009-10-28 Tom Schork

A review of the low temperature properties of Kondo lattice systems is presented within the mean-field approximation, focusing on the different characteristic energy scales. The Kondo temperature, T_K, and the Fermi liquid coherence energy,…

Strongly Correlated Electrons · Physics 2018-03-28 Sébastien Burdin

Moir\'e structures, along with line-graph-based $d$-electron systems, represent a setting to realize flat bands. One form of the associated strong correlation physics is the Kondo effect. Here, we address the recently observed Kondo-driven…

Strongly Correlated Electrons · Physics 2025-03-13 Fang Xie , Lei Chen , Qimiao Si

We present a general model of disorder in Kondo alloys that, under certain conditions, leads to non-Fermi liquid behavior. The central underlying idea is the presence of a distribution of local Kondo temperature scales. If this distribution…

Strongly Correlated Electrons · Physics 2008-02-03 E. Miranda , V. Dobrosavljevic , G. Kotliar

Heavy fermion quantum criticality is an extremely rich domain of research which represents a framework to understand strange metals as a consequence of a Kondo breakdown transition. Here we provide an experimental realization of such…

Mesoscale and Nanoscale Physics · Physics 2025-12-19 En Li , Bimla Danu , Yufeng Liu , Huilin Xie , Jacky Wing Yip Lam , Ben Zhong Tang , Shiyong Wang , Fakher F. Assaad , Nian Lin

We theoretically describe the charge ordering (CO) metal-insulator transition based on a quasi-one-dimensional extended Hubbard model, and investigate the finite temperature ($T$) properties across the transition temperature, $T_{\rm CO}$.…

Strongly Correlated Electrons · Physics 2015-05-18 Hideo Yoshioka , Masahisa Tsuchiizu , Yuichi Otsuka , Hitoshi Seo

We study the zero-temperature properties of the Kondo lattice model within the dynamical mean-field theory. As impurity solver we use the numerical renormalization group. We present results for the paramagnetic case showing the anticipated…

Strongly Correlated Electrons · Physics 2011-02-21 O. Bodensiek , R. Zitko , R. Peters , T. Pruschke

Heavy fermion metals provide a prototype setting to study quantum criticality. Experimentally, quantum critical points have been identified and studied in a growing list of heavy fermion compounds. Theoretically, Kondo destruction has…

Strongly Correlated Electrons · Physics 2016-01-20 S. Paschen , S. Friedemann , S. Wirth , F. Steglich , S. Kirchner , Q. Si

Experimental results for the susceptibility, specific heat, 4f occupation number, Hall effect and magnetoresistance for single crystals of YbAl$_{3}$ show that, in addition to the Kondo energy scale $k_{B}T_{K}$ $% \sim $ 670K, there is a…

Strange metals appear in a wide range of correlated materials. Electronic localization-delocalization and the expected loss of quasiparticles characterize beyond-Landau metallic quantum critical points and the associated strange metals.…

Strongly Correlated Electrons · Physics 2023-08-29 Chia-Chuan Liu , Silke Paschen , Qimiao Si