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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

Based on probing electronic transport properties we propose an experimental test for the recently discovered rich topological phase diagram of one-dimensional Floquet topological insulators with Rashba spin-orbit interaction [Kennes…

介观与纳米尺度物理 · 物理学 2020-04-22 Niclas Müller , Dante M. Kennes , Jelena Klinovaja , Daniel Loss , Herbert Schoeller

Graphene subject to a spatially uniform, circularly-polarized electric field supports a Floquet spectrum with properties akin to those of a topological insulator, including non-vanishing Chern numbers associated with bulk bands and…

介观与纳米尺度物理 · 物理学 2015-05-28 Zhenghao Gu , H. A. Fertig , Daniel P. Arovas , Assa Auerbach

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

Topological states require the presence of extended bulk states, as usually found in the picture of energy bands and topological states bridging the bulk gaps. But in driven systems this can be circumvented, and one can get topological…

介观与纳米尺度物理 · 物理学 2020-01-08 Esteban A. Rodriguez-Mena , L. E. F. Foa Torres

Floquet topological insulators are noninteracting quantum systems that, when driven by a time-periodic field, are described by effective Hamiltonians whose bands carry nontrivial topological invariants. A longstanding question concerns the…

介观与纳米尺度物理 · 物理学 2015-06-19 Thomas Iadecola , Titus Neupert , Claudio Chamon

External driving is emerging as a promising tool for exploring new phases in quantum systems. The intrinsically non-equilibrium states that result, however, are challenging to describe and control. We study the steady states of a…

介观与纳米尺度物理 · 物理学 2016-01-06 Karthik I. Seetharam , Charles-Edouard Bardyn , Netanel H. Lindner , Mark S. Rudner , Gil Refael

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

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…

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

Time-periodic (Floquet) topological phases of matter exhibit bulk-edge relationships that are more complex than static topological insulators and superconductors. Finding the edge modes unique to driven systems usually requires numerics.…

量子气体 · 物理学 2016-12-28 Indubala I. Satija , Erhai Zhao

Time-periodic external drives have emerged as a powerful tool to artificially create topological phases of matter. Prime examples are Floquet topological insulators (FTIs), where a gapped bulk supports in-gap edge states, protected against…

介观与纳米尺度物理 · 物理学 2020-01-08 Oleksandr Balabanov , Henrik Johannesson

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

Nonequilibrium Floquet topological phases due to periodic driving are known to exhibit rich and interesting features with no static analogs. Various known topological invariants usually proposed to characterize static topological systems…

介观与纳米尺度物理 · 物理学 2020-07-01 Muhammad Umer , Raditya Weda Bomantara , Jiangbin Gong

A salient feature of solid-state topological materials in two dimensions is the presence of conducting electronic edge states that are insensitive to scattering by disorder. Such unidirectional edge states have been explored in many…

光学 · 物理学 2021-12-28 Sebabrata Mukherjee , Mikael C. Rechtsman

Recently, effects of nonlinearity on topologically nontrivial systems have attracted attention and the stability of topologically protected edge states has been studied for a quantum walk with nonlinear effects, which is akin to…

量子物理 · 物理学 2020-05-29 Ken Mochizuki , Norio Kawakami , Hideaki Obuse

Spatially uniform excitations can induce Floquet topological bandstructures within insulators which have equal characteristics to those of topological insulators. Going beyond we demonstrate in this article the evolution of Floquet…

强关联电子 · 物理学 2019-09-17 Andreas Lubatsch , Regine Frank

We study the strong disorder regime of Floquet topological systems in dimension two, that describe independent electrons on a lattice subject to a periodic driving. In the spectrum of the Floquet propagator we assume the existence of an…

数学物理 · 物理学 2019-06-26 Jacob Shapiro , Clément Tauber

We show that one-dimensional Floquet trimer arrays with periodically oscillating waveguides support two different and co-existing types of topological Floquet edge states in two different topological gaps in Floquet spectrum. In these…

光学 · 物理学 2023-09-15 Shuang Shen , Yaroslav V. Kartashov , Yongdong Li , Yiqi Zhang

Periodic driving may cause topologically protected, chiral transport along edges of a 2D lattice that, without driving, would be topologically trivial. We study what happens if one adds a different on-site potential along the diagonal of…

计算物理 · 物理学 2024-01-10 Helena Drüeke , Marcus Meschede , Dieter Bauer
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