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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…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Thomas Iadecola , Titus Neupert , Claudio Chamon

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.…

Strongly Correlated Electrons · Physics 2016-01-27 Aaron Farrell , T. Pereg-Barnea

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…

Mesoscale and Nanoscale Physics · Physics 2025-11-11 Jiaxin Pan , Longwen Zhou

We study the transport properties of a monolayer transition metal dichalcogenide (TMDC) ribbon subject to a time periodic circularly polarized laser field. First, we calculate the quasienergy spectrum within the framework of the Floquet…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 A. Huamán , Gonzalo Usaj

Motivated by the quest for experimentally accessible dynamical probes of Floquet topological insulators, we formulate the linear response theory of a periodically driven system. We illustrate the applications of this formalism by giving…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Abhishek Kumar , M. Rodriguez-Vega , T. Pereg-Barnea , B. Seradjeh

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…

Strongly Correlated Electrons · Physics 2013-04-02 Yaniv Tenenbaum Katan , Daniel Podolsky

Floquet systems are governed by periodic, time-dependent, Hamiltonians. Prima facie they should absorb energy from the external drives involved in modulating their couplings and heat up to infinite temperature. However this unhappy state of…

Strongly Correlated Electrons · Physics 2022-10-05 Fenner Harper , Rahul Roy , Mark S. Rudner , S. L. Sondhi

We investigate subgap quasiparticles of a single level quantum dot coupled to the superconducting and normal leads, whose energy level is periodically driven by external potential. Using the Floquet formalism we determine the quasienergies…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 B. Baran , T. Domański

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…

Mesoscale and Nanoscale Physics · Physics 2013-10-01 Jérôme Cayssol , Balázs Dóra , Ferenc Simon , Roderich Moessner

Recent works have demonstrated that the Floquet-Bloch bands of periodically-driven systems feature a richer topological structure than their non-driven counterparts. The additional structure in the driven case arises from the periodicity of…

Mesoscale and Nanoscale Physics · Physics 2019-01-24 Frederik Nathan , Mark S. Rudner

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…

Mathematical Physics · Physics 2019-06-26 Jacob Shapiro , Clément Tauber

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…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 Longwen Zhou , Chong Chen , Jiangbin Gong

Floquet topological phases emerge when systems are periodically driven out-of-equilibrium. They gained attention due to their external control, which allows to simulate a wide variety of static systems by just tuning the external field in…

Quantum Physics · Physics 2024-11-20 Álvaro Gómez-León

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…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Muhammad Umer , Raditya Weda Bomantara , Jiangbin Gong

We review methods for using time-periodic fields (e.g., laser or microwave fields) to induce non-equilibrium topological phenomena in quantum many-body systems. We discuss how such fields can be used to change the topological properties of…

Mesoscale and Nanoscale Physics · Physics 2020-08-17 Mark S. Rudner , Netanel H. Lindner

Periodically driven systems provide a novel route to control the topology of quantum materials. In particular, Floquet theory allows an effective band description of periodically-driven systems through the Floquet Hamiltonian. Here, we…

Strongly Correlated Electrons · Physics 2024-03-20 Takahiro Anan , Takahiro Morimoto , Sota Kitamura

We investigate the asymptotic state of a periodically driven many-body quantum system which is weakly coupled to an environment. The combined action of the modulations and the environment steers the system towards a state being…

Quantum Gases · Physics 2019-03-04 Michael Hartmann , Dario Poletti , Mikhail Ivanchenko , Sergey Denisov , Peter Hänggi

Recent experiments show that periodic drives on dipolar systems lead to long-lived prethermal states. These systems are weakly coupled to the environment and reach prethermal states in a timescale much shorter than the timescale for…

Quantum Physics · Physics 2023-02-22 Saptarshi Saha , Rangeet Bhattacharyya

A time-periodic drive enables the engineering of non-equilibrium quantum systems by hybridizing Floquet sidebands. We investigated DC voltage-biased planar Josephson junctions built upon epitaxial Al/InAs heterostructures in which the…

Mesoscale and Nanoscale Physics · Physics 2025-04-09 Teng Zhang , Tatiana de Picoli , Tyler Lindemann , Jukka I. Väyrynen , Michael J. Manfra

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…

Mesoscale and Nanoscale Physics · Physics 2018-06-13 Iliya Esin , Mark S. Rudner , Gil Refael , Netanel H. Lindner
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