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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

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

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

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

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

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

We study the topology of the Floquet states and time-averaged optical conductivity of the lattice model of a thin topological insulator subject to a circularly polarized light using the extended Kubo formalism. Two driving regimes, the…

介观与纳米尺度物理 · 物理学 2023-08-16 S. Sajad Dabiri , H. Cheraghchi , A. Sadeghi

Topological insulators are unique physical structures that are insulators in their bulk, but support currents at their edges which can be unidirectional and topologically protected from scattering on disorder and inhomogeneities. Photonic…

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

We consider the differential conductance of a periodically driven system connected to infinite electrodes. We focus on the situation where the dissipation occurs predominantly in these electrodes. Using analytical arguments and a detailed…

介观与纳米尺度物理 · 物理学 2015-10-07 Michel Fruchart , Pierre Delplace , Joseph Weston , Xavier Waintal , David Carpentier

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

Topological edge states form at the edges of periodic materials with specific degeneracies in their modal spectra, such as Dirac points, under the action of effects breaking certain symmetries of the system. In particular, in Floquet…

光学 · 物理学 2022-12-16 Boquan Ren , Yaroslav V. Kartashov , Hongguang Wang , Yongdong Li , Yiqi Zhang

The theoretical analysis of topological insulators (TIs) has been traditionally focused on infinite homogeneous crystals with band gap in the bulk and nontrivial topology of their wavefunctions, or infinite wires whose boundaries host…

介观与纳米尺度物理 · 物理学 2020-09-21 Utkarsh Bajpai , Mark J. H. Ku , Branislav K. Nikolic

We introduce topological vector edge solitons in a Floquet insulator, consisting of two honeycomb arrays of helical waveguides with opposite directions of rotation in a focusing nonlinear optical medium. Zigzag edges of two arrays placed in…

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

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

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

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

We study quantum transport in a periodically driven (Floquet) topological system coupled to static fermionic reservoirs. Using the Floquet nonequilibrium Green's-function (NEGF) formalism we show, from exact numerics for a strip geometry,…

介观与纳米尺度物理 · 物理学 2026-05-14 Rekha Kumari , Manas Kulkarni , Abhishek Dhar

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
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