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Flat bands, characterized by zero group velocity and strong energy localization, enable interaction-enhanced phenomena across both quantum and classical systems. Existing photonic flat-band implementations were limited to evanescent-wave…

Optics · Physics 2025-09-17 Han-Rong Xia , Ziyao Wang , Yunrui Wang , Zhen Gao , Meng Xiao

Dirac materials are of great interest as condensed matter realizations of the Dirac and Weyl equations. In particular, they serve as a starting point for the study of topological phases. This physics has been extensively studied in…

Mesoscale and Nanoscale Physics · Physics 2020-08-11 P. Sathish Kumar , Igor F. Herbut , R. Ganesh

A general and beautiful picture for the realization of topological insulators is that the mass term of the Dirac model has a nodal surface wrapping one Dirac point. We show that this geometric picture based on Dirac points can be…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Zhongbo Yan

TlBiSSe is a rare realization of a 3D semimetal with a conically dispersing band that has an optical response which is well isolated from other contributions in a broad range of photon eneries. We report optical and magneto-optical…

Topological flat bands, such as the band in twisted bilayer graphene, are becoming a promising platform to study topics such as correlation physics, superconductivity, and transport. In this work, we introduce a generic approach to…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Da-Shuai Ma , Yuanfeng Xu , Christie S. Chiu , Nicolas Regnault , Andrew A. Houck , Zhida Song , B. Andrei Bernevig

In a class of carbon-based materials called polymerized triptycene, which consist of triptycene molecules and phenyls, exotic electronic structures such as Dirac cones and flat bands arise from the kagome-type network. In this paper, we…

Mesoscale and Nanoscale Physics · Physics 2019-11-26 Tomonari Mizoguchi , Mina Maruyama , Susumu Okada , Yasuhiro Hatsugai

The flat band system is an ideal quantum platform to investigate the kaleidoscope created by the electron-electron correlation effects. The central ingredient of realizing a flat band is to find its compact localized states. In this work,…

Strongly Correlated Electrons · Physics 2023-12-12 Yuge Chen , Juntao Huang , Kun Jiang , Jiangping Hu

We explore the hyperbolic band theory under a magnetic field for the first time. Our theory is a general extension of the conventional band theory defined on a Euclidean lattice into the band theory on a general hyperbolic lattice/Riemann…

Mesoscale and Nanoscale Physics · Physics 2024-02-28 Kazuki Ikeda , Shoto Aoki , Yoshiyuki Matsuki

The notion of Dirac cones, wherein two or more bands become degenerate at a certain momentum, is the starting point for the study of topological phases. Dirac cones have been thoroughly explored in fermionic systems such as graphene, Weyl…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 P. Sathish Kumar , R. Ganesh

We propose a feasible experimental scheme to realize a three-dimensional chiral topological insulator with cold fermionic atoms in an optical lattice, which is characterized by an integer topological invariant distinct from the conventional…

Strongly Correlated Electrons · Physics 2014-07-18 Sheng-Tao Wang , Dong-Ling Deng , Lu-Ming Duan

We propose a powerful and convenient method to systematically design flat-band lattice models, which overcomes the difficulties underlying the previous method. Especially, our method requires no elaborate calculations, applies to arbitrary…

Quantum Gases · Physics 2020-11-11 Youjiang Xu , Han Pu

Two-dimensional lattices of coupled micropillars etched in a planar semiconductor microcavity offer a workbench to engineer the band structure of polaritons. We report experimental studies of honeycomb lattices where the polariton…

At magic twisted angles, Dirac cones in twisted bilayer graphene (TBG) can evolve into flat bands, serving as a critical playground for the study of strongly correlated physics. When chiral symmetry is introduced, rigorous mathematical…

Strongly Correlated Electrons · Physics 2023-10-11 Fan Cui , Congcong Le , Qiang Zhang , Xianxin Wu , Jiangping Hu , Ching-Kai Chiu

We study atoms trapped with a harmonic confinement in an optical lattice characterized by a flat band and Dirac cones. We show that such an optical lattice can be constructed which can be accurately described with the tight binding or…

Strongly Correlated Electrons · Physics 2015-05-19 V. Apaja , M. Hyrkäs , M. Manninen

Motivated by the phenomenology in the condensed-matter flat-band Dirac systems, we here construct a holographic model that imprints the symmetry breaking pattern of a rather simple Dirac fermion model at zero chemical potential.In the bulk…

High Energy Physics - Theory · Physics 2021-05-20 Nicolás Grandi , Vladimir Juričić , Ignacio Salazar Landea , Rodrigo Soto-Garrido

Nodal line in single-component molecular conductor [Pd(dddt)_2] has been examined to understand the tilted Dirac cone on the non-coplanar loop. In the previous work [J. Phys. Soc. Jpn. 87, 113701 (2018)], the velocity of the cone was…

Mesoscale and Nanoscale Physics · Physics 2020-09-08 Yoshikazu Suzumura , Takao Tsumuraya , Reizo Kato , Hiroyasu Matsuura , Masao Ogata

Topological characteristics of energy bands, such as Dirac/Weyl nodes, have attracted substantial interest in condensed matter systems as well as in classical wave systems. Among these energy bands, the type-II Dirac point is a nodal…

The Lieb lattice and the kagome lattice, which are both well known for their Dirac cones and flat bands, can be continuously converted into each other by a shearing transformation. During this transformation, the flat band is destroyed, but…

Optics · Physics 2023-02-10 Jean-Philippe Lang , Haissam Hanafi , Jörg Imbrock , Cornelia Denz

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 propose three transition-metal adatom systems on 3C-SiC(111) surfaces as a versatile platform to realize massless Dirac fermions and flat bands with strong electronic correlations. Using density functional theory combined with the…

Strongly Correlated Electrons · Physics 2024-10-23 Henri Menke , Niklas Enderlein , Yi-Ting Tseng , Michel Bockstedte , Janina Maultzsch , Giorgio Sangiovanni , Philipp Hansmann