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In commonly employed models for 2D topological insulators, bulk gapless states are well known to form at the band inversion points where the degeneracy of the states is protected by symmetries. It is thus sometimes quite tempting to…

材料科学 · 物理学 2017-12-06 Wenjie Xi , Wei Ku

We apply methods of equivariant homotopy theory, which may not previously have found due attention in condensed matter physics, to classify first the fragile/unstable topological phases of 2D crystalline Chern insulator materials, and…

强关联电子 · 物理学 2026-01-01 Hisham Sati , Urs Schreiber

We propose a bulk topological invariant for one-dimensional Floquet systems with chiral symmetry which quantifies the particle transport on each sublattice during the evolution. This chiral flow is physically motivated, locally computable,…

强关联电子 · 物理学 2018-10-17 Xu Liu , Fenner Harper , Rahul Roy

Floquet topological insulators are topological phases of matter generated by the application of time-periodic perturbations on otherwise conventional insulators. We demonstrate that spatial variations in the time-periodic potential lead to…

强关联电子 · 物理学 2013-04-02 Yaniv Tenenbaum Katan , Daniel Podolsky

Recently, Floquet topological matter has attracted significant attention for its potential to reveal novel topological phases inaccessible in static systems. In this paper, we investigate the effect of a time-periodic driving on the…

介观与纳米尺度物理 · 物理学 2025-01-08 Zheng-Rong Liu , Rui Chen , Bin Zhou

Two-dimensional 2-bands insulators breaking time reversal symmetry can present topological phases indexed by a topological invariant called the Chern number. Here we first propose an efficient procedure to determine this topological index.…

介观与纳米尺度物理 · 物理学 2012-05-28 Doru Sticlet , Frederic Piéchon , Jean-Noël Fuchs , Pavel Kalugin , Pascal Simon

Floquet engineering severs as a forceful technique for uncovering high Chern numbers of quantum anomalous Hall (QAH) states with feasible tunability in high-order topologically insulating plumbene, which is readily accessible for…

介观与纳米尺度物理 · 物理学 2025-11-25 Zhe Li , Fangyang Zhan , Haijun Cao , Jingjing Cao , Huisheng Zhang , Sheng Meng

Results are presented for the entanglement entropy and spectrum of half-filled graphene following the switch on of a circularly polarized laser. The laser parameters are chosen to correspond to several different Floquet Chern insulator…

介观与纳米尺度物理 · 物理学 2016-11-23 Daniel J. Yates , Yonah Lemonik , Aditi Mitra

We investigate topological band structures of a kagome system coupled to a circularly polarized cavity mode, using a model based on a muffin-tin potential and quantum light-matter interaction. We show that Chern insulating phases emerge in…

介观与纳米尺度物理 · 物理学 2026-04-03 Hikaru Goto , Ryo Okugawa , Takami Tohyama

We investigate a transition between a two-dimensional topological insulator conduction state, characterized by a conductance $G=2$ (in fundamental units $e^2/h$) and a Chern insulator with $G=1$, induced by polarized magnetic impurities.…

介观与纳米尺度物理 · 物理学 2015-08-12 Laurent Raymond , Alberto D. Verga , Arnaud Demion

We theoretically investigate possible photoinduced topological phase transitions in the organic salt $\alpha$-(BEDT-TTF)$_2$I$_3$, which possesses a pair of inclined massless Dirac-cone bands between the conduction and valence bands under…

强关联电子 · 物理学 2021-09-21 Keisuke Kitayama , Yasuhiro Tanaka , Masao Ogata , Masahito Mochizuki

The Su-Schrieffer-Heeger model of polyacetylene is a paradigmatic Hamiltonian exhibiting non-trivial edge states. By using Floquet theory we study how the spectrum of this one-dimensional topological insulator is affected by a…

介观与纳米尺度物理 · 物理学 2015-12-01 V. Dal Lago , M. Atala , L. E. F. Foa Torres

The use of topological invariants to describe geometric phases of quantum matter has become an essential tool in modern solid state physics. The first instance of this paradigmatic trend can be traced to the study of the quantum Hall…

数学物理 · 物理学 2017-05-19 Domenico Monaco

We study the low-frequency dynamics of periodically driven one-dimensional systems hosting Floquet topological phases. We show, both analytically and numerically, in the low-frequency limit $\Omega\to0$, the topological invariants of a…

介观与纳米尺度物理 · 物理学 2018-07-20 M. Rodriguez-Vega , B. Seradjeh

We propose to uncover the topology of a pseudo-Hermitian Chern insulator by quantum quench dynamics. The Bloch Hamiltonian of the pseudo-Hermitian Chern insulator is defined in the basis of the q-deformed Pauli matrices, which are related…

介观与纳米尺度物理 · 物理学 2023-02-15 Peng He , Yan-Qing Zhu , Jian-Te Wang , Shi-Liang Zhu

In two dimensions, interacting Floquet topological phases may arise even in the absence of any protecting symmetry, exhibiting chiral edge transport that is robust to local perturbations. We explore a similar class of Floquet topological…

强关联电子 · 物理学 2018-07-25 Dominic Reiss , Fenner Harper , Rahul Roy

We investigate a quasi-periodically driven four-level system that serves as a temporal analog of topological phenomena found in four-band models with intertwined spin and orbital degrees of freedom. Under a two-tone drive in the…

介观与纳米尺度物理 · 物理学 2026-05-12 Vansh Kaushik , Sayan Choudhury , Tanay Nag

When a physical system is subjected to a strong external multi-frequency drive, its dynamics can be conveniently represented in the multi-dimensional Floquet lattice. The number of the Floquet lattice dimensions equals the number of {\em…

介观与纳米尺度物理 · 物理学 2017-10-25 Ivar Martin , Gil Refael , Bertrand Halperin

We study the effects of disorder on the topological Chern insulating phase in the Harper--Hofstadter--Hatsugai (HHH) model. The model with half flux has a bulk band gap and thus exhibits a nontrivial topological phase. We consider two…

统计力学 · 物理学 2019-08-28 Yoshihito Kuno

We explore the bulk-edge correspondence for topological insulators (superconductors) without time-reversal symmetry from the point of view of the index theorem for open spaces. We assume generic Hamiltonians not only with a linear…

介观与纳米尺度物理 · 物理学 2015-06-05 T. Fukui , K. Shiozaki , T. Fujiwara , S. Fujimoto