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Related papers: Periodic Table for Floquet Topological Insulators

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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

Topological phase transitions between a conventional insulator and a state of matter with topological properties have been proposed and observed in mercury telluride - cadmium telluride quantum wells. We show that a topological state can be…

Materials Science · Physics 2011-09-08 Netanel H. Lindner , Gil Refael , Victor Galitski

Time-periodic driving of a quantum system can enable new dynamical topological phases of matter that could not exist in thermal equilibrium. We investigate two related classes of dynamical topological phenomena in 2D systems: Floquet…

Strongly Correlated Electrons · Physics 2017-04-26 Andrew C. Potter , Takahiro Morimoto

In two dimensions, interacting Floquet topological phases may arise even in the absence of any protecting symmetry, exhibiting chiral edge transport that is robust to local perturbations. We explore a similar class of Floquet topological…

Strongly Correlated Electrons · Physics 2018-07-25 Dominic Reiss , Fenner Harper , Rahul Roy

The two dimensional square lattice antiferromagnet with spin-orbit coupling and nonsymmorphic symmetry is recently found to be topological insulator (TI). We theoretically studied the Floquet states of the antiferromagnetic crystal with…

Mesoscale and Nanoscale Physics · Physics 2020-12-30 Ma Luo

We extend the periodic table of phases of free fermions in the ten-fold way symmetry classes to a classification of free fermionic phases protected by an arbitrary on-site unitary symmetry $\hat G$ in an arbitrary dimension. The…

Strongly Correlated Electrons · Physics 2019-11-20 Yu-An Chen , Anton Kapustin , Alex Turzillo , Minyoung You

Realizing topological insulators is of great current interest because of their remarkable properties and possible future applications. There are recent proposals, based on Floquet analyses, that one can generate topologically nontrivial…

Quantum Gases · Physics 2016-08-02 Luca D'Alessio , Marcos Rigol

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…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Oleksandr Balabanov , Henrik Johannesson

We propose and experimentally demonstrate a family of Floquet solitons in the bulk of a photonic topological insulator that have double the period of the drive. Our experimental system consists of a periodically-modulated honeycomb lattice…

Optics · Physics 2024-02-02 Sebabrata Mukherjee , Mikael C. Rechtsman

We develop a theory of topological transitions in a Floquet topological insulator, using graphene irradiated by circularly polarized light as a concrete realization. We demonstrate that a hallmark signature of such transitions in a static…

Mesoscale and Nanoscale Physics · Physics 2014-12-12 Arijit Kundu , H. A. Fertig , Babak Seradjeh

Using elementary graph theory, we show the existence of interface chiral modes in random oriented scattering networks and discuss their topological nature. For particular regular networks (e.g. L-lattice, Kagome and triangular networks), an…

Mesoscale and Nanoscale Physics · Physics 2020-06-08 Pierre Delplace

Higher-order topological phases (HOTPs) are characterized by symmetry-protected bound states at the corners or hinges of the system. In this work, we reveal a momentum-space counterpart of HOTPs in time-periodic driven systems, which are…

Quantum Physics · Physics 2021-05-03 Longwen Zhou

Topological insulators are a new class of materials which have gapped spectra in the bulk, but are accompanied by topologically protected gapless excitations at the surface (edge) of the system. These phenomena have a close relationship…

Mesoscale and Nanoscale Physics · Physics 2015-11-30 Taro Kimura

We show that periodically time-modulating the Dzyaloshinskii-Moriya interaction (DMI) in a two-dimensional magnon insulator may induce a topological phase transition that results in the presence of robust edge modes. To this end, we study a…

Mesoscale and Nanoscale Physics · Physics 2026-04-02 Ivan Martinez-Berumen , T. Pereg-Barnea , W. A. Coish

We investigate the effect of a high frequency electromagnetic field with both of circularly and linearly polarization, on the emergence of quantum phases on thin topological insulators. Simultaneously, the influence of the system parameters…

Mesoscale and Nanoscale Physics · Physics 2021-12-21 S. Sajad Dabiri , Hosein Cheraghchi

Floquet modulations often yield effective Hamiltonians not easily accessible in traditional time-dependent systems, which brings opportunities for exploring novel physics of quantum dynamics. We investigate a Floquet system exhibiting…

Quantum Physics · Physics 2025-09-17 Suyang Lin , Ming Gong , Congjun Wu

Using a dimensional reduction scheme based on scattering theory, we show that the classification tables for topological insulators and superconductors with reflection symmetry can be organized in two period-two and four period-eight cycles,…

Mesoscale and Nanoscale Physics · Physics 2017-11-03 Luka Trifunovic , Piet Brouwer

We explore topological edge states in periodically driven nonlinear systems. Based on a self-consistency method adjusted to periodically driven systems, we obtain stationary states associated with topological phases unique to Floquet…

Pattern Formation and Solitons · Physics 2025-01-10 Ken Mochizuki , Kaoru Mizuta , Norio Kawakami

In this paper, we introduce a variation of the notion of topological phase reflecting metric structure of the position space. This framework contains not only periodic and non-periodic systems with symmetries in Kitaev's periodic table but…

Mathematical Physics · Physics 2016-07-20 Yosuke Kubota

Floquet engineering of topological phase transitions driven by a high-frequency time-periodic field is a promising approach to realizing new topological phases of matter distinct from static states. Here, we theoretically investigate…

Mesoscale and Nanoscale Physics · Physics 2025-01-20 Kok Wai Lee , Mateo Jalen Andrew Calderon , Xiang-Long Yu , Ching Hua Lee , Yee Sin Ang , Pei-Hao Fu