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Periodically driven (Floquet) phases are attractive due to their ability to host unique physical phenomena with no static counterparts. We propose a general approach in nontrivially devising a square-root version of existing Floquet phases,…

Mesoscale and Nanoscale Physics · Physics 2022-08-25 Raditya Weda Bomantara

The existence of chiral edge states, corresponding to the nontrivial bulk-band topology characterized by a non-vanishing topological invariant, and the manipulation of topological transport via chiral edge states promise topological…

Mesoscale and Nanoscale Physics · Physics 2023-07-25 Muhammad Nadeem , Xiaolin Wang

We report on a topological insulating state in a heavy-fermion system away from half-filling, which is hidden within a ferromagnetic metallic phase. In this phase, the cooperation of the RKKY interaction and the Kondo effect, together with…

Strongly Correlated Electrons · Physics 2013-04-16 Tsuneya Yoshida , Robert Peters , Satoshi Fujimoto , Norio Kawakami

We introduce a Floquet quasicrystal that simulates the motion of Bloch electrons in a homogeneous magnetic field in discrete time steps. We admit the hopping to be non-reciprocal which, via a generalized Aubry duality, leads us to push the…

Quantum Physics · Physics 2026-04-09 Christopher Cedzich , Jake Fillman

Strong light fields have created spectacular opportunities to tailor novel functionalities of solids. Floquet-Bloch states can form under periodic driving of electrons and enable exotic quantum phases. On subcycle time scales, lightwaves…

We consider the fate of a helical edge state of a spin Hall insulator and its topological transition in presence of a circularly polarized light when coupled to various forms of environments. A Lindblad type equation is developed to…

Strongly Correlated Electrons · Physics 2016-09-28 Szabolcs Vajna , Baruch Horovitz , Balázs Dóra , Gergely Zaránd

We experimentally realized Floquet topological photonic insulators using a square lattice of direct-coupled octagonal resonators. Unlike previously reported topological insulator systems based on microring lattices, the nontrivial…

Optics · Physics 2020-07-01 Shirin Afzal , Tyler J. Zimmerling , Yang Ren , David Perron , Vien Van

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

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…

Computational Physics · Physics 2024-01-10 Helena Drüeke , Marcus Meschede , Dieter Bauer

Optical control and manipulation of cold atoms has become an important topic in condensed matter. Widely employed are optical lattice shaking experiments which allow the introduction of artificial gauge fields, the design of topological…

Electromagnetic driving in a honeycomb lattice can induce gaps and topological edge states with a structure of increasing complexity as the frequency of the driving lowers. While the high frequency case is the most simple to analyze we…

Mesoscale and Nanoscale Physics · Physics 2016-02-22 Pablo M. Perez-Piskunow , Luis E. F. Foa Torres , Gonzalo Usaj

The unique conduction properties of condensed matter systems with topological order have recently inspired a quest for similar effects in classical wave phenomena. Acoustic topological insulators, in particular, hold the promise to…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 Romain Fleury , Alex Khanikaev , Andrea Alu

Non-Hermiticity is expected to add far more physical features to the already rich Floquet topological phases of matter. Nevertheless, a systematic approach to characterize non-Hermitian Floquet topological matter is still lacking. In this…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Longwen Zhou , Yongjian Gu , Jiangbin Gong

Floquet Majorana Fermions appear as steady states at the boundary of time-periodic topological phases of matter. In this work, we theoretically study the main features of these exotic topological phases in the periodically driven…

Strongly Correlated Electrons · Physics 2015-01-13 Mónica Benito , Álvaro Gómez-León , Victor Bastidas , Tobias Brandes , Gloria Platero

We study one-dimensional (1D) Floquet topological insulators with chiral symmetry going beyond the standard rotating wave approximation. The occurrence of many anticrossings between Floquet replicas leads to a dramatic extension of phase…

We discuss several classes of integrable Floquet systems, i.e. systems which do not exhibit chaotic behavior even under a time dependent perturbation. The first class is associated with finite-dimensional Lie groups and infinite-dimensional…

Statistical Mechanics · Physics 2018-04-20 Vladimir Gritsev , Anatoli Polkovnikov

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…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 V. Dal Lago , M. Atala , L. E. F. Foa Torres

Floquet engineering provides an optical means to manipulate electronic bandstructures, however, carriers excited by the pump field can lead to an effective heating, and can obscure measurement of the band changes. A recent demonstration of…

Time-variant systems have recently garnered considerable attention due to their unique potentials in manipulating electromagnetic waves. Here, a novel class of topological spacetime crystals is introduced, with a traveling-wave modulation…

Optics · Physics 2025-09-24 João C. Serra , Mário G. Silveirinha

In a topological semimetal with Dirac or Weyl points, the bulk edge correspondence principle predicts a gapless edge mode if the essential symmetry is still preserved at the surface. The detection of such topological surface state has been…

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