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We introduce and analyze a model that sheds light on the interplay between correlated insulating states, superconductivity, and flavor-symmetry breaking in magic angle twisted bilayer graphene. Using a variational mean-field theory, we…

Strongly Correlated Electrons · Physics 2021-12-14 Gal Shavit , Erez Berg , Ady Stern , Yuval Oreg

The discovery of superconductivity and correlated electronic phases in twisted bilayer WSe$_2$ (Xia et al., Nature 2024; Guo et al., Nature 2025) has generated considerable excitement. Accompanying the superconductivity and a correlated…

Strongly Correlated Electrons · Physics 2025-03-28 Fang Xie , Chenyuan Li , Jennifer Cano , Qimiao Si

We show that an interplay between quantum effects, strong on-site ferromagnetic exchange interaction and antiferromagnetic correlations in Kondo lattices can give rise to an exotic spin-orbit coupled metallic state in regimes where…

Quantum Gases · Physics 2017-01-02 L. Isaev , J. Schachenmayer , A. M. Rey

Experimental demonstrations of tunable correlation effects in magic-angle twisted bilayer graphene have put two-dimensional moir\'e quantum materials at the forefront of condensed-matter research. Other twisted few-layer graphitic…

Strongly Correlated Electrons · Physics 2021-08-27 Michael M. Scherer , Dante M. Kennes , Laura Classen

The interplay between Kondo effect, indirect magnetic interaction and geometrical frustration is studied in the Kondo lattice on the one-dimensional zigzag ladder. Using the density-matrix renormalization group (DMRG), the ground state and…

Strongly Correlated Electrons · Physics 2018-03-14 Matthias Peschke , Roman Rausch , Michael Potthoff

We apply the extended (statistically-consistent, SGA) Gutzwiller-type approach to the periodic Anderson model (PAM) in an applied magnetic field and in the strong correlation limit. The finite-U corrections are included systematically by…

Strongly Correlated Electrons · Physics 2012-09-05 Olga Howczak , Józef Spałek

Close to a magical angle, twisted bilayer graphene (TBLG) systems exhibit isolated flat electronic bands and, accordingly, strong electron localization. TBLGs have hence been ideal platforms to explore superconductivity, correlated…

Mesoscale and Nanoscale Physics · Physics 2021-05-28 V. Hung Nguyen , D. Paszko , M. Lamparski , B. Van Troeye , V. Meunier , J. -C. Charlier

How to make a model of a non-Fermi-liquid metal with efficient current dissipation is a long-standing problem. Results from holographic duality suggest a framework where local critical fermionic degrees of freedom provide both a source of…

Strongly Correlated Electrons · Physics 2018-04-18 Daniel Ben-Zion , John McGreevy

Resolving the heavy fermion band in the conduction electron momentum resolved spectral function of the Kondo lattice model is challenging since, in the weak coupling limit, its spectral weight is exponentially small. In this article we…

Strongly Correlated Electrons · Physics 2021-10-22 Bimla Danu , Zihong Liu , Fakher F. Assaad , Marcin Raczkowski

Inspired by the recent experimental evidence of antiferromagnetism and superconductivity coexistence in heavy fermion CeRhIn$_5$, we propose a fully microscopic approach based on the idea of real space pairing within the Anderson-Kondo…

Strongly Correlated Electrons · Physics 2012-09-05 O. Howczak , J. Kaczmarczyk , J. Spałek

We develop a controlled theoretical framework for the topological heavy fermion model relevant to magic-angle twisted bilayer graphene, where low density conduction electrons hybridize with a lattice of strongly interacting f-sites. By…

Strongly Correlated Electrons · Physics 2026-04-17 Yaar Vituri , Erez Berg

We review analytical and numerical studies of correlated insulating states in twisted bilayer graphene, focusing on real-space lattice models constructions and their unbiased quantum many-body solutions. We show that by constructing…

Strongly Correlated Electrons · Physics 2021-01-12 Yuan Da Liao , Xiao Yan Xu , Zi Yang Meng , Jian Kang

We re-examine the nature of the ground states of bilayer graphene at odd integer filling factors within a simplified model of nearly degenerate $n=0$ and $n=1$ Landau levels. Previous Hartree-Fock studies have found that ferroelectric…

Strongly Correlated Electrons · Physics 2019-04-03 Thierry Jolicoeur , Csaba Tőke , Inti Sodemann

We revisit the localized Wannier state description of the twisted bilayer graphene, focusing on the chiral limit. We provide a simple method for constructing such 2D exponentially localized -- yet valley polarized -- Wannier states,…

Strongly Correlated Electrons · Physics 2021-09-02 Oskar Vafek , Jian Kang

In our recent study, Phys. Rev. Lett. 108 086402 (2012), we have revealed the intriguing properties of the ferromagnetic state in the Kondo lattice model with antiferromagnetic coupling in infinite dimensions: within the ferromagnetic…

Strongly Correlated Electrons · Physics 2012-10-10 Robert Peters , Norio Kawakami

All models of interacting electrons and spins can be reformulated as theories of interacting Majorana fermions. We consider the Kondo lattice model that admits a symmetric representation in terms of Majorana fermions. In the first part of…

Strongly Correlated Electrons · Physics 2013-08-06 Johan Nilsson , Matteo Bazzanella

We perform a general group-theoretical study of the Kondo problem in monolayer and bilayer graphene around the charge neutrality point. Utilizing the group representation theory, we derive from symmetry considerations a family of the Kondo…

Strongly Correlated Electrons · Physics 2013-11-11 Maxim Kharitonov , Gabriel Kotliar

We propose a microscopic physical mechanism that stabilizes coexistence of the Kondo effect and antiferromagnetism in heavy-fermion systems. We consider a two-dimensional quantum Kondo-Heisenberg lattice model and show that long-range…

Strongly Correlated Electrons · Physics 2013-04-12 L. Isaev , I. Vekhter

The nature of localized-itinerant transition in Kondo lattice systems remains a mystery despite intensive investigations in past decades. While it is often identified from the coherent peak in magnetic resistivity, recent angle-resolved…

Strongly Correlated Electrons · Physics 2025-05-19 Shuo Zou , Hai Zeng , Zhuo Wang , Guohao Dong , Xiaodong Guo , Fangjun Lu , Zengwei Zhu , Youguo Shi , Yifeng Yang , Yongkang Luo

Kondo lattice systems, in which localized magnetic moments coherently hybridize with itinerant electrons, exhibit a rich landscape of emergent quantum phenomena. Within this framework, the hybridization strength itself has been…

Strongly Correlated Electrons · Physics 2026-03-16 Lu Cao , Jiefei Shi , Lanxin Liu , Xuan Luo , Yu-Ping Sun , Yi-feng Yang , Yugui Yao , Jinhai Mao , Yuhang Jiang