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The interplay between localized magnetic moments and itinerant electrons gives rise to exotic quantum states in condensed matter systems. Two-dimensional moire superlattices offer a powerful platform for engineering heavy fermion states…

Mesoscale and Nanoscale Physics · Physics 2025-07-17 Le Zhang , Wenqiang Zhou , Xinjie Fang , Zhen Zhan , Kenji Watanabe , Takashi Taniguchi , Yi-feng Yang , Shuigang Xu

We use the topological heavy fermion (THF) model and its Kondo Lattice (KL) formulation to study the symmetric Kondo state in twisted bilayer graphene. Via a large-N approximation, we find a symmetric Kondo (SK) state in KL mode at fillings…

Strongly Correlated Electrons · Physics 2023-11-06 H. Hu , G. Rai , L. Crippa , J. Herzog-Arbeitman , D. Călugăru , T. Wehling , G. Sangiovanni , R. Valenti , A. M. Tsvelik , B. A. Bernevig

Song and Bernevig (SB) have recently proposed a topological heavy fermion description of the physics of magic angle twisted bilayer graphene (MATBG), involving the hybridization of flat band electrons with a relativistic conduction sea. We…

Strongly Correlated Electrons · Physics 2025-04-29 Liam L. H. Lau , Piers Coleman

We apply a generalized Schrieffer-Wolff transformation to the extended Anderson-like topological heavy fermion (THF) model for the magic-angle $(\theta=1.05^{\circ})$ twisted bilayer graphene (MATBLG) (Phys. Rev. Lett. 129, 047601 (2022)),…

Strongly Correlated Electrons · Physics 2023-07-26 Haoyu Hu , B. Andrei Bernevig , Alexei M. Tsvelik

The emergence of flat bands in twisted bilayer graphene at the magic angle can be understood in terms of a vanishing Fermi velocity of the Dirac cone. This is associated with van Hove singularities approaching the Fermi energy and becoming…

Strongly Correlated Electrons · Physics 2023-06-05 A. S. Shankar , D. O. Oriekhov , Andrew K. Mitchell , L. Fritz

A number of interesting physical phenomena have been discovered in magic-angle twisted bilayer graphene (MATBG), such as superconductivity, correlated gapped and gapless phases, etc. The gapped phases are believed to be symmetry-breaking…

Strongly Correlated Electrons · Physics 2024-01-19 Geng-Dong Zhou , Yi-Jie Wang , Ninghua Tong , Zhi-Da Song

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…

Kondo physics and heavy-fermion behavior have been predicted and observed in moir\'e materials. The electric tunability of moir\'e materials allows an in-situ study of Kondo lattices' phase diagrams, which is not possible with their…

Mesoscale and Nanoscale Physics · Physics 2025-07-23 Antonio L. R. Manesco

Using a canonical transformation it is possible to faithfully represent the Kondo lattice model in terms of Majorana fermions. Studying this representation we discovered an exact mapping between the Kondo lattice Hamiltonian and a…

Strongly Correlated Electrons · Physics 2014-03-07 Matteo Bazzanella , Johan Nilsson

The Kondo screening of a localized magnetic moment crucially depends on the spectral properties of the electronic bath to which it is coupled. Unlike textbook examples, realistic systems as well as dynamical mean-field theory of correlated…

How many magnetic moments periodically arranged on a metallic surface are needed to generate a coherent Kondo lattice behavior? We investigate this fundamental issue within the particle-hole symmetric Kondo lattice model using quantum Monte…

Strongly Correlated Electrons · Physics 2019-03-12 Marcin Raczkowski , Fakher F. Assaad

In magic angle twisted bilayer graphene, transport, thermodynamic and spectroscopic experiments pinpoint at a competition between distinct low-energy states with and without electronic order. We use Dynamical Mean Field Theory (DMFT) on the…

Recently, Ref. [1] reformulated magic-angle twisted bilayer graphene (MATBG) as a topological heavy fermion problem, and used this reformulation to provide a deeper understanding for the correlated phases at integer fillings. In this work,…

Mesoscale and Nanoscale Physics · Physics 2023-08-21 Jiabin Yu , Ming Xie , B. Andrei Bernevig , Sankar Das Sarma

We study a magnetic impurity intercalated in bilayer graphene. A representative configuration generates a hybridization function with strong dependence on the conduction-electron energy, including a full gap with one hard and one soft edge.…

Strongly Correlated Electrons · Physics 2014-07-22 Diego Mastrogiuseppe , Arturo Wong , Kevin Ingersent , Sergio Ulloa , Nancy Sandler

Kondo lattices are ideal testbeds for the exploration of heavy-fermion quantum phases of matter. While our understanding of Kondo lattices has traditionally relied on complex bulk f-electron systems, transition metal dichalcogenide…

Strongly Correlated Electrons · Physics 2023-10-11 Wen Wan , Rishav Harsh , Antonella Meninno , Paul Dreher , Sandra Sajan , Haojie Guo , Ion Errea , Fernando de Juan , Miguel M. Ugeda

Proximity of two different materials leads to an intricate coupling of quasiparticles so that an unprecedented electronic state is often realized at the interface. Here, we demonstrate a resonance-type many-body ground state in graphene, a…

Strongly Correlated Electrons · Physics 2021-02-12 Jinwoong Hwang , Seungseok Lee , Ji-Eun Lee , Minhee Kang , Hyejin Ryu , Hyun-Jeong Joo , Jonathan Denlinger , Jae-Hoon Park , Choongyu Hwang

We investigate correlated insulating states in magic-angle twisted bilayer graphene (TBG) by the exact diagonalization method applied to the extended Hubbard model with interaction parameters recently evaluated in the realistic effective…

Strongly Correlated Electrons · Physics 2018-08-08 Masayuki Ochi , Mikito Koshino , Kazuhiko Kuroki

We have theoretically studied the effect of disorder on ultracold alkaline-earth atoms governed by the Kondo lattice model in an optical lattice via simplified double-well model and hybridization mean-field theory. Disorder-induced…

Quantum Gases · Physics 2014-12-10 Bo-Nan Jiang , Jun Qian , Wen-Li Wang , Juan Du , Yu-Zhu Wang

Kondo screening of local moments in normal metals typically leads to hybridized conduction and valence bands separated by a Kondo gap, resulting in an insulating state at half-band filling. We show a dramatic change of this scenario in a…

Strongly Correlated Electrons · Physics 2026-04-17 Hanting Zhong , Shuxiang Yang , Chao Cao , Xiao-Yong Feng , Jianhui Dai

We study the Kondo lattice model on the geometrically frustrated Shastry-Sutherland lattice focusing on the quantum phase transition between the valence bond solid and the heavy fermion liquid phase. By explicitly including spinon pairing…

Strongly Correlated Electrons · Physics 2016-10-07 Lei Su , Pinaki Sengupta
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