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The Kondo lattice mode, as one of the most fundamental models in condensed matter physics, has been employed to describe a wide range of quantum materials such as heavy fermions, transition metal dichalcogenides and two-dimensional Moire…

Strongly correlated materials are characterized by the presence of electron-electron interactions in their electronic structure. They often have remarkable properties and transitions between competing phases of very different electronic and…

Strongly Correlated Electrons · Physics 2019-11-19 Martin Sundermann

We consider a two dimensional Kondo lattice model with exchange J and hopping t in which three out of four impurity spins are removed in a regular way. At the particle-hole symmetric point the model may be studied with auxiliary field…

Strongly Correlated Electrons · Physics 2013-05-29 F. F. Assaad

Using Majorana Fermions to represent spins we re-examine the Kondo Lattice model for heavy fermions. The simplest decoupling procedure provides a realization of odd frequency superconductivity, with resonant pairing and surfaces of gap…

Condensed Matter · Physics 2009-10-22 P. Coleman , E. Miranda , A. Tsvelik

The Kondo lattice model enlarged by an antiferromagnetic coupling $J_{\rm AF}$ between the localized spins is here investigated using computational techniques. Our results suggest the existence of a d-wave superconducting phase close to…

Strongly Correlated Electrons · Physics 2009-11-13 J. C. Xavier , E. Dagotto

Flat band materials such as the kagome metals or moir\'e superlattice systems are of intense current interest. Flat bands can result from the electron motion on numerous (special) lattices and usually exhibit topological properties. Their…

Strongly Correlated Electrons · Physics 2024-05-28 Joseph G. Checkelsky , B. Andrei Bernevig , Piers Coleman , Qimiao Si , Silke Paschen

Heavy fermion systems represent one of the paradigmatic strongly correlated states of matter. They have been used as a platform for investigating exotic behavior ranging from quantum criticality and non-Fermi liquid behavior to…

Mesoscale and Nanoscale Physics · Physics 2021-12-14 Viliam Vaňo , Mohammad Amini , Somesh Chandra Ganguli , Guangze Chen , Jose L. Lado , Shawulienu Kezilebieke , Peter Liljeroth

We study the thermodynamic properties of solid and metal electrons in the nonextensive quantum statistics with a nonextensive parameter transformation. First we study the nonextensive grand canonical distribution function and the…

Statistical Mechanics · Physics 2020-02-11 Yahui Zheng , Jiulin Du

Our electronic structure theory for crystalline solids is commonly built on the periodic potential assumption $V(\mathbf r)=V(\mathbf r+\mathbf R)$ for every lattice translation $\mathbf R$, enabling Bloch eigenstates, crystal momentum as a…

Strongly Correlated Electrons · Physics 2026-03-26 Wouter Montfrooij

We study higher-spin ($S \geq 1$) generalization of the one-dimensional Kondo-Heisenberg model, in which the local spin-$S$ moments of the Kondo lattice model interact with each other via the antiferromagnetic Heisenberg interaction…

Strongly Correlated Electrons · Physics 2022-07-18 Riku Masui , Keisuke Totsuka

The Kondo lattice model with substitutional disorder is studied with attention to the size of the Fermi surface and the associated Dingle temperature. The model serves for understanding heavy-fermion Ce compounds alloyed with La according…

Strongly Correlated Electrons · Physics 2010-10-26 J. Otsuki , H. Kusunose , Y. Kuramoto

Recent advances in scanning tunneling spectroscopy performed on heavy-fermion metals provide a window onto local electronic properties of composite heavy-electron quasiparticles. Here we theoretically investigate the energy and temperature…

Strongly Correlated Electrons · Physics 2011-12-06 Adel Benlagra , Thomas Pruschke , Matthias Vojta

In the two-dimensional Kondo-Heisenberg lattice model away from half-filled, the local antiferromagnetic exchange coupling can provide the pairing mechanism of quasiparticles via the Kondo screening effect, leading to the heavy fermion…

Superconductivity · Physics 2016-02-16 Yu Liu , Guang-Ming Zhang , Lu Yu

We show that for the half-filled Kondo lattice model on the honeycomb lattice a Kondo breakdown occurs at small Kondo couplings $J_k$ within the magnetically ordered phase. Our conclusions are based on auxiliary field quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2022-11-01 Marcin Raczkowski , Bimla Danu , Fakher F. Assaad

Kondo systems ranging from the single Kondo impurity to heavy fermion materials present us with a plethora of unconventional properties whose theoretical understanding is still one of the major open problems in condensed matter physics.…

Strongly Correlated Electrons · Physics 2017-01-27 Dirk K. Morr

Using ultra-high quality SiGe/Si/SiGe quantum wells at millikelvin temperatures, we experimentally compare the energy-averaged effective mass, $m$, with that at the Fermi level, $m_F$, and verify that the behaviours of these measured values…

Strongly Correlated Electrons · Physics 2017-11-08 M. Yu. Melnikov , A. A. Shashkin , V. T. Dolgopolov , S. -H. Huang , C. W. Liu , S. V. Kravchenko

We investigate the magnetic order and related strongly-correlated effects in an one-dimensional Ising-Kondo lattice with transverse field. This model is the anisotropic limit of the conventional isotropic Kondo lattice model, in the sense…

Strongly Correlated Electrons · Physics 2024-01-02 Xiaofan Zhou , Jingtao Fan , Suotang Jia

Electrons at the border of localization generate exotic states of matter across all classes of strongly correlated electron materials and many other quantum materials with emergent functionality. Heavy electron metals are a model example,…

Heavy fermion systems contain not only strong electron correlations, which promote a rich set of quantum phases, but also a large spin-orbit coupling, which tends to endow the electronic states a topological character. Kondo insulators are…

Strongly Correlated Electrons · Physics 2016-05-10 Xiao-Yong Feng , Hanting Zhong , Jianhui Dai , Qimiao Si

A theory of Kondo lattices or a $1/d$ expansion theory, with $d$ spatial dimensionality, is applied to studying itinerant-electron ferromagnetism. Two relevant multi-band models are examined: a band-edge model where the chemical potential…

Strongly Correlated Electrons · Physics 2009-11-07 Fusayoshi J. Ohkawa