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Stacking two graphene layers twisted by the 'magic angle' $\theta \approx 1.1^\circ$ generates flat energy bands, which in turn catalyzes various strongly correlated phenomena depending on filling and sample details. At charge neutrality,…

Strongly Correlated Electrons · Physics 2021-03-24 Alex Thomson , Jason Alicea

Flat bands result in a divergent density of states and high sensitivity to interactions in physical systems. While such bands are well known in systems under magnetic fields, their realization and behavior in zero-field settings remain…

Strongly Correlated Electrons · Physics 2025-08-05 Chen-Xin Jiang , Zi-Xiang Hu , Bo Yang

We propose a tunable electronic band gap and zero-energy modes in periodic heterosubstrate-induced graphene superlattices. Interestingly, there is an approximate linear relation between the band gap and the proportion of inhomogeneous…

Materials Science · Physics 2016-05-04 Xiong Fan , Wenjun Huang , Tianxing Ma , Li-Gang Wang

Rhombohedral (ABC-stacked) multilayer graphene hosts interaction-driven phases enabled by surface flat bands at large displacement fields. In thick flakes, however, strong screening suppresses internal electric fields, raising the question…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 Kryštof Kolář , Andrea F. Young , Cyprian Lewandowski

The band inversions that generate the topologically non-trivial band gaps of topological insulators and the isolated Dirac touching points of three-dimensional Dirac semimetals generally arise from the crossings of electronic states derived…

We study the broadening of initially localized wave packets in a quasi one-dimensional diamond ladder with interacting, spinless fermions. The lattice possesses a flat band causing localization. We place special focus on the transition away…

Statistical Mechanics · Physics 2024-06-04 Mirko Daumann , Thomas Dahm

Dispersionless bands, such as Landau levels, serve as a good starting point for obtaining interesting correlated states when interactions are added. With this motivation in mind, we study a variety of dispersionless ("flat") band structures…

Strongly Correlated Electrons · Physics 2013-05-29 Dmitry Green , Luiz Santos , Claudio Chamon

We study the band structures and the associated contact points for a phosphorene superlattice made up of two periodic areas. We use the boundary conditions to extract an equation describing the dispersion relation after obtaining the…

Mesoscale and Nanoscale Physics · Physics 2023-06-28 Jilali Seffadi , Ilham Redouani , Youness Zahidi , Ahmed Jellal

The honeycomb lattice sets the basic arena for numerous ideas to implement electronic, photonic, or phononic topological bands in (meta-)materials. Novel opportunities to manipulate Dirac electrons in graphene through band engineering arise…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 Tobias M. R. Wolf , Oded Zilberberg , Ivan Levkivkskyi , Gianni Blatter

Flat bands (FBs) are energy bands with zero group velocity, which in electronic systems were shown to favor strongly correlated phenomena. Indeed, a FB can be spanned with a basis of strictly localized states, the so called "compact…

Quantum Physics · Physics 2025-04-09 Enrico Di Benedetto , Alejandro Gonzalez-Tudela , Francesco Ciccarello

Some important features of the graphene physics can be reproduced by loading ultracold fermionic atoms in a two-dimensional optical lattice with honeycomb symmetry and we address here its experimental feasibility. We analyze in great…

Quantum Physics · Physics 2009-10-27 Kean Loon Lee , Benoit Gremaud , Rui Han , Berthold-Georg Englert , Christian Miniatura

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 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

Topological crystalline insulators in IV-VI compounds host novel topological surface states consisting of multi-valley massless Dirac fermions at low energy. Here we show that strain generically acts as an effective gauge field on these…

Superconductivity · Physics 2014-12-02 Evelyn Tang , Liang Fu

We study localization and flat-band formation in lattices generated by repeated edge inflation of square, honeycomb, and triangular parent lattices. Replacing each bond by a finite tight-binding chain produces several distinct classes of…

Disordered Systems and Neural Networks · Physics 2026-04-15 Richard Berkovits

Flat-band systems are highly sensitive to external perturbations, providing a route to study unconventional localization, transport, and spin physics. Lieb lattice, a two-dimensional geometry with an inherent flat band, exemplifies this…

Quantum Gases · Physics 2025-08-29 Nana Chang , Xiaoji Zhou

Electronic flat bands represent a paradigmatic platform to realize strongly correlated matter due to their associated divergent density of states. In common instances, including electron-electron interactions leads to magnetic instabilities…

Strongly Correlated Electrons · Physics 2021-11-15 Pramod Kumar , Guangze Chen , J. L. Lado

A flat band in fermionic system is a dispersionless single-particle state with a diverging effective mass and nearly zero group velocity. These flat bands are expected to support exotic properties in the ground state, which might be…

In this work we theoretically study, using Floquet-Bloch theory, the influence of circularly and linearly polarized light on two-dimensional band structures with Dirac and quadratic band touching points, and flat bands, taking the nearest…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Liang Du , Xiaoting Zhou , Gregory A. Fiete

Flat-band lattices hosting compact localized states are highly sensitive to external modulation, and the tailored design of a perturbation to imprint specific features becomes relevant. Here we show that periodic driving in the…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Aamna Ahmed , Mónica Benito , Beatriz Pérez-González