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This paper presents a theory of interaction-induced band-flattening in strongly correlated electron systems. We begin by illustrating an inherent connection between flat bands and index theorems, and presenting a generic prescription for…

Strongly Correlated Electrons · Physics 2024-10-18 Alireza Parhizkar , Victor Galitski

It is demonstrated that in a two--band 2D system the resonance state is manifested close to the energy of the Dirac point in the electron spectrum for the sufficiently large impurity perturbation. With increasing the impurity concentration,…

Disordered Systems and Neural Networks · Physics 2009-11-11 Yu. V. Skrypnyk , V. M. Loktev

The band bending (BB) effect on the surface of the second-generation topological insulators implies a serious challenge to design transport devices. The BB is triggered by the effective electric field generated by charged impurities close…

Mesoscale and Nanoscale Physics · Physics 2015-12-11 P. Rakyta , B. Ujfalussy , L. Szunyogh

We demonstrate theoretically that the interaction of electrons in gapped Dirac materials (gapped graphene and transition-metal dichalchogenide monolayers) with a strong off-resonant electromagnetic field (dressing field) substantially…

Mesoscale and Nanoscale Physics · Physics 2017-03-02 O. V. Kibis , K. Dini , I. V. Iorsh , I. A. Shelykh

Shortly after the discovery of topological band insulators, topological Kondo insulators (TKIs) have also been theoretically predicted. The latter has ignited revival interest in the properties of Kondo insulators. Currently, the…

Strongly Correlated Electrons · Physics 2025-06-05 C. -C. Joseph Wang , Jean-Pierre Julien , A. V. Balatsky , Jian-Xin Zhu

The semi-Dirac semi-Weyl semi-metal has been of interest in recent years due to its naturally occurring point Fermi surface and the associated exotic band-structure near the Fermi surface, which is linear (graphene-like) in one direction of…

Strongly Correlated Electrons · Physics 2015-08-25 Swapnonil Banerjee

We investigate the effect of a non-magnetic donor impurity located at the surface of the SnTe topological crystalline insulator. In particular, the changes on the surface states due to a Sb impurity atom are analyzed by means of ab initio…

Mesoscale and Nanoscale Physics · Physics 2022-07-08 Olga Arroyo-Gascón , Yuriko Baba , Jorge I. Cerdá , Oscar de Abril , Ruth Martínez , Francisco Domínguez-Adame , Leonor Chico

The modification of the quantum states in a Dice lattice due to a Coulomb impurity are investigated. The energy band structure of a pristine Dice lattice consists of a Dirac cone and a flat band at the Dirac point. We use the tight binding…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 Jing Wang , R. Van Pottelberge , Wen-Sheng Zhao , François M. Peeters

We consider finite ribbons of graphene with armchair orientation of their edges to study in detail impurity effects on specific Dirac-like modes. In the framework of Anderson hybrid model of impurity perturbation, a possibility for Mott…

Disordered Systems and Neural Networks · Physics 2022-12-14 Yuriy G. Pogorelov , Vadim M. Loktev

Flat band (FB) systems, featuring dispersionless energy bands, have garnered significant interest due to their compact localized states (CLSs). However, a detailed account on how local impurities affect the physical properties of…

Strongly Correlated Electrons · Physics 2024-12-02 Anselmo M. Marques , David Viedma , Verònica Ahufinger , Ricardo G. Dias

Dispersionless flat bands are proposed to be a fundamental ingredient to achieve the various sought after quantum states of matter including high-temperature superconductivity1-4 and fractional quantum Hall effect5-6. Materials with such…

We explore the emergence of spin-polarised flat-bands at head-to-head domain walls in a recently predicted class of antiferromagnetic topological insulators hosting planar magnetisation. We show, in the framework of quantum well physics,…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 N. B. Devlin , T. Ferrus , C. H. W. Barnes

We investigate the vacancy effects on quasiparticle band structure of graphene near the Dirac point. It is found that each Dirac nodal point splits into two new nodal points due to the coherent scattering among vacancies. The splitting…

Quantum Gases · Physics 2015-05-30 W. Zhu , W. Li , Q. W. Shi , X. R. Wang , X. P. Wang , J. L. Yang , J. G. Hou

Isolated flat bands with significantly quenched kinetic energy of electrons could give rise to exotic strongly correlated states from electron-electron interactions. More intriguingly, the interplay between topology and flat bands can…

Mesoscale and Nanoscale Physics · Physics 2024-08-19 Huaiqiang Wang , Yiliang Fan , Haijun Zhang

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

In superconducting circuits interrupted by Josephson junctions, the dependence of the energy spectrum on offset charges on different islands is $2e$ periodic through the Aharonov-Casher effect and resembles a crystal band structure that…

Mesoscale and Nanoscale Physics · Physics 2021-07-16 Luca Chirolli , Joel E. Moore

Surfaces of topological insulators host a new class of states with Dirac dispersion and helical spin texture. Potential quantum computing and spintronic applications using these states require manipulation of their electronic properties at…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Haim Beidenkopf , Pedram Roushan , Jungpil Seo , Lindsay Gorman , Ilya Drozdov , Yew San Hor , R. J. Cava , Ali Yazdani

Using density functional theory combined with orbital-selective band unfolding techniques, we study the effective band structure of silicene($3\times3$)/Ag(111)($4\times4$) structure. Consistent with the ARPES spectra recently obtained by…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 Chao Lian , Sheng Meng

In electronic systems with flat bands, such as twisted bilayer graphene, interaction effects govern the structure of the phase diagram. In this paper, we show that a strongly interacting system featuring fermionic flat bands can be…

High Energy Physics - Theory · Physics 2022-04-19 Nicolás Grandi , Vladimir Juričić , Ignacio Salazar Landea , Rodrigo Soto-Garrido

We calculate the modification of the local electronic structure caused by a local impurity on the surface of a 3D Topological Insulator. We find that the LDOS around the Dirac point of the electronic spectrum at the surface is significantly…

Materials Science · Physics 2013-11-25 Rudro R. Biswas , Alexander V. Balatsky
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