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The physics of strongly correlated quantum particles within a flat band was originally explored as a route to itinerant ferromagnetism and, indeed, a celebrated theorem by Lieb rigorously establishes that the ground state of the repulsive…

Strongly Correlated Electrons · Physics 2014-09-17 V. I. Iglovikov , F. Hébert , B. Grémaud , G. G. Batrouni , R. T. Scalettar

The Kondo-Heisenberg model is used for a microscopic demonstration of existence of a peculiar metallic state with unbroken translational symmetry where the Fermi surface volume is not controlled by the total electron density. I use a…

Strongly Correlated Electrons · Physics 2016-10-19 A. M. Tsvelik

We show that the motion of a single hole in the infinite $U$ Hubbard model with frustrated hopping leads to weak metallic antiferromagnetism of kinetic origin. An intimate relationship is demonstrated between the simplest versions of this…

Strongly Correlated Electrons · Physics 2009-11-11 Jan O Haerter , B Sriram Shastry

While standard heavy fermion metals feature a single spin-1/2 local moment per unit cell, more complicated systems with multiple distinct local moments have been synthesized as well, with Ce_3Pd_20(Si,Ge)_6 being one example. Here, we…

Strongly Correlated Electrons · Physics 2011-08-10 Adel Benlagra , Lars Fritz , Matthias Vojta

A novel gapped metallic state coined orthogonal Dirac semimetal is proposed in the honeycomb lattice in terms of $Z_{2}$ slave-spin representation of Hubbard model. This state corresponds to the disordered phase of slave-spin and has the…

Strongly Correlated Electrons · Physics 2012-11-05 Yin Zhong , Ke Liu , Yong-Qiang Wang , Hong-Gang Luo

We study itinerant ferromagnetism in a $t_{2g}$ multi-orbital Hubbard system in the cubic lattice, which consists of three planar oriented orbital bands of $d_{xy}$, $d_{yz}$, and $d_{zx}$. Electrons in each orbital band can only move…

Strongly Correlated Electrons · Physics 2015-03-13 Yi Li

As the simplest non-Fermi liquids, orthogonal metals have gapped single-particle excitations but show normal metallic behaviors in thermodynamic and transport quantities. Such an exotic metallic state could be realized in a Hubbard model…

Strongly Correlated Electrons · Physics 2014-11-05 Yin Zhong , Lan Zhang , Han-Tao Lu , Hong-Gang Luo

We study a honeycomb Kondo lattice model in which Dirac conduction electrons are coupled to a spin-1/2 Kitaev quantum spin liquid. For weak Kondo coupling, the spins fractionalize into Majorana fermions comprising a gapless Dirac mode and…

Strongly Correlated Electrons · Physics 2026-03-30 Jennifer Lin , Frank Krüger

Recently it was shown that the multipolar Kondo problem, wherein a quantum impurity carrying higher-rank multipolar moments interacts with conduction electrons, leads to novel non-Fermi liquid states. Because of the multipolar character of…

Strongly Correlated Electrons · Physics 2021-05-25 Daniel J. Schultz , Adarsh S. Patri , Yong Baek Kim

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

The quest for quantum ground states beyond the conventional Fermi-liquid paradigm remains a central challenge in many-body physics. The ferromagnetic Kondo effect represents a particularly intriguing case: an exotic variant of the Kondo…

Mesoscale and Nanoscale Physics · Physics 2026-04-09 Elia Turco , Nils Krane , Hongyan Chen , Simon Gerber , Wulf Wulfhekel , Roman Fasel , Pascal Ruffieux , David Jacob

In this work, a multichannel Kondo lattice model is studied in the thermodynamic limit. The conduction band is described by a constant hopping amplitude between any pair of lattice sites. For this system, we have obtained the exact…

Condensed Matter · Physics 2008-02-03 C. -A. Piguet , D. F. Wang , C. Gruber

Flat bands, emergent in strongly correlated electron systems, stand at the frontier of condensed matter physics, providing fertile ground for unconventional quantum phases. Recent observations of dispersionless bands at the Fermi level in…

By means of a specific heat, susceptibility and high-pressure electrical resistivity study, we show that the local magnetic moments of the intercalated V ions in V$_{5}$S$_{8}$ realize a prototype of Kondo lattice system, where an…

Strongly Correlated Electrons · Physics 2024-08-20 Hancheng Yang , Hicham Moutaabbid , Benoît Baptiste , David Hrabovsky , Andrea Gauzzi , Yannick Klein

An exotic fractionalized Fermi-liquid FL$^*$ theory of metallic systems, which combines resonant-valence-bond (RVB) state and the band of current carriers, is treated. An application of this theory to spin-liquid, antiferromagnetic and…

Strongly Correlated Electrons · Physics 2022-03-07 V. Yu. Irkhin , Yu. N. Skryabin

The physics of spin-orbit entangled magnetic moments of $4d$ and $5d$ transition metal ions on a honeycomb lattice has been much explored in search for unconventional magnetic orders or quantum spin liquids expected for compass spin models,…

Strongly Correlated Electrons · Physics 2024-10-15 Ryutaro Okuma , Kylie MacFarquharson , Roger D. Johnson , David Voneshen , Pascal Manuel , Radu Coldea

The kagome lattice, a well known example of the geometrically frustrated system, hosts a dispersionless flat band that offers a unique platform for studying correlation-driven quantum phenomena. At appropriate particle concentrations, the…

Strongly Correlated Electrons · Physics 2026-01-16 Hao Jin , Wenxing Nie

We study the density of states and the optical conductivity of a Kondo lattice which is immersed in a massless Dirac Fermi sea, as characterized by a linear dispersion relation. As a result of the hybridization $V$ with the $f$-electron…

Strongly Correlated Electrons · Physics 2015-07-16 Hyunyong Lee , Stefan Kettemann

By use of the spectral density approach the influence of the lattice structure on the possibility of ferromagnetism in the single band Hubbard model is investigated. The d=\infty hypercubic lattice does not show magnetic phase transitions…

Strongly Correlated Electrons · Physics 2016-08-31 T. Herrmann , W. Nolting

The Hubbard model describes interacting electrons on a lattice,a situation which occurs in various solid state materials and devices. The aim of the present paper is to briefly discuss this model and its applications in the study of…

Materials Science · Physics 2010-01-20 V. Celebonovic