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Recent theoretical work on time-periodically kicked Hofstadter model found robust counter-propagating edge modes. It remains unclear how ubiquitously such anomalous modes can appear, and what dictates their robustness against disorder. Here…

量子气体 · 物理学 2014-11-13 Zhenyu Zhou , Indubala I. Satija , Erhai Zhao

Periodic driving fields can induce topological phase transitions, resulting in Floquet topological phases with intriguing properties such as very large Chern numbers and unusual edge states. Whether such Floquet topological phases could…

介观与纳米尺度物理 · 物理学 2017-11-08 Han Hoe Yap , Longwen Zhou , Jian-Sheng Wang , Jiangbin Gong

We study the open system dynamics and steady states of two dimensional Floquet topological insulators: systems in which a topological Floquet-Bloch spectrum is induced by an external periodic drive. We solve for the bulk and edge state…

介观与纳米尺度物理 · 物理学 2018-06-13 Iliya Esin , Mark S. Rudner , Gil Refael , Netanel H. Lindner

Over the past few years, topological insulators have taken center stage in solid state physics. The desire to tune the topological invariants of the bulk and thus control the number of edge states has steered theorists and experimentalists…

介观与纳米尺度物理 · 物理学 2014-10-01 J. K. Asboth , B. Tarasinski , P. Delplace

We study the bulk and edge properties of a driven Kitaev chain, where the driving is performed as instantaneous quenches of the on-site energies. We identify three periodic driving regimes: low period, which is equivalent to a static model,…

超导电性 · 物理学 2019-01-08 Tilen Cadez , Rubem Mondaini , Pedro D. Sacramento

We theoretically investigate a periodically driven semimetal based on a square lattice. The possibility of engineering both Floquet Topological Insulator featuring Floquet edge states and Floquet higher order topological insulating phase,…

介观与纳米尺度物理 · 物理学 2020-06-24 Arnob Kumar Ghosh , Ganesh C. Paul , Arijit Saha

Non-Abelian topological insulators are characterized by matrix-valued, non-commuting topological charges with regard to more than one energy gap. Their descriptions go beyond the conventional topological band theory, in which an additive…

介观与纳米尺度物理 · 物理学 2025-11-11 Jiaxin Pan , Longwen Zhou

Time-periodic (Floquet) drive is a powerful method to engineer quantum phases of matter, including fundamentally non-equilibrium states that are impossible in static Hamiltonian systems. One characteristic example is the anomalous Floquet…

量子气体 · 物理学 2022-01-12 Christopher I. Timms , Lukas M. Sieberer , Michael H. Kolodrubetz

Exotic topological states of matter such as Floquet topological insulator or Floquet Weyl semimetal can be induced by periodic driving. This work proposes a Floquet semimetal with Floquet-band holonomy. That is, the system is gapless, but…

介观与纳米尺度物理 · 物理学 2016-09-21 Longwen Zhou , Chong Chen , Jiangbin Gong

Topological insulators represent unique phases of matter with insulating bulk and conducting edge or surface states, immune to small perturbations such as backscattering due to disorder. This stems from their peculiar band structure, which…

介观与纳米尺度物理 · 物理学 2013-10-01 Jérôme Cayssol , Balázs Dóra , Ferenc Simon , Roderich Moessner

Periodically driven non-Hermitian systems can exhibit rich topological band structure and non-Hermitian skin effect, without analogs in their static or Hermitian counterparts. In this work we investigate the exceptional band-touching points…

介观与纳米尺度物理 · 物理学 2020-01-22 Xizheng Zhang , Jiangbin Gong

One-dimensional Floquet topological superconductors possess two types of degenerate Majorana edge modes at zero and $\pi$ quasieneriges, leaving more room for the design of boundary time crystals and quantum computing schemes than their…

介观与纳米尺度物理 · 物理学 2023-09-06 Hailing Wu , Shenlin Wu , Longwen Zhou

The bulk-edge correspondence guarantees that the interface between two topologically distinct insulators supports at least one topological edge state that is robust against static perturbations. Here, we address the question of how dynamic…

Topologically protected edge states exactly at topological phase boundaries challenge the conventional belief that topological states must be associated with a bulk energy gap. Because periodically driven (Floquet) systems host unusually…

统计力学 · 物理学 2025-05-26 Longwen Zhou , Jiangbin Gong , Xue-Jia Yu

Topological states of matter in non-Hermitian systems have attracted a lot of attention due to their intriguing dynamical and transport properties. In this study, we propose a periodically driven non-Hermitian lattice model in…

介观与纳米尺度物理 · 物理学 2018-11-28 Longwen Zhou , Jiangbin Gong

Floquet topological insulators describe independent electrons on a lattice driven out of equilibrium by a time-periodic Hamiltonian, beyond the usual adiabatic approximation. In dimension two such systems are characterized by integer-valued…

数学物理 · 物理学 2018-03-05 Gian Michele Graf , Clément Tauber

Recently, several authors have investigated topological phenomena in periodically-driven systems of non-interacting particles. These phenomena are identified through analogies between the Floquet spectra of driven systems and the band…

介观与纳米尺度物理 · 物理学 2013-07-26 Mark S. Rudner , Netanel H. Lindner , Erez Berg , Michael Levin

Floquet topological insulators are systems in which the topology emerges out of equilibrium when a time periodic perturbation is applied. In these systems one can define quasi-energy states which replace the quilibrium stationary states.…

强关联电子 · 物理学 2016-01-27 Aaron Farrell , T. Pereg-Barnea

A driven quantum system has been recently studied in the context of nonequilibrium phase transitions and their responses. In particular, for a periodically driven system, its dynamics are described in terms of the multi-dimensional Floquet…

强关联电子 · 物理学 2023-03-08 HaRu K. Park , Junmo Jeon , Gil Young Cho , SungBin Lee

A periodically driven quantum Hall system in a fixed magnetic field is found to exhibit a series of phases featuring anomalous edge modes with the "wrong" chirality. This leads to pairs of counter-propagating chiral edge modes at each edge,…

量子气体 · 物理学 2014-01-17 Mahmoud Lababidi , Indubala I. Satija , Erhai Zhao
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