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Dynamic manipulation of magnetism in topological materials is demonstrated here via a Floquet engineering approach using circularly polarized light. Increasing the strength of the laser field, besides the expected topological phase…

Mesoscale and Nanoscale Physics · Physics 2021-06-15 Xiaoyu Liu , Peizhe Tang , Hannes Hübener , Umberto De Giovannini , Wenhui Duan , Angel Rubio

This paper analyzes Floquet topological insulators resulting from the time-harmonic irradiation of electromagnetic waves on two dimensional materials such as graphene. We analyze the bulk and edge topologies of approximations to the…

Mathematical Physics · Physics 2021-01-19 Guillaume Bal , Daniel Massatt

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…

In this letter we propose realistic schemes to realize topologically nontrivial Floquet states by shaking optical lattices, using both one-dimension lattice and two-dimensional honeycomb lattice as examples. The topological phase in the…

Quantum Gases · Physics 2014-07-02 Wei Zheng , Hui Zhai

We propose a general edge index definition for two-dimensional Floquet topological phases based on a switch-function formalism. When the Floquet operator has a spectral gap the index covers both clean and disordered phases, anomalous or…

Mesoscale and Nanoscale Physics · Physics 2018-05-30 Clément Tauber

Periodic driving provides a platform to dynamically tailor quantum states of matter, yet its impact on symmetry-protected topological phases remains incompletely understood. Here, we demonstrate that periodic driving enables the realization…

The periodic driving of a quantum system can enable new topological phases without analogs in static systems. This provides a route towards preparing non-equilibrium quantum phases rooted into the non-equilibrium nature by periodic driving…

Strongly Correlated Electrons · Physics 2020-07-22 Yufei Zhu , Tao Qin , Xinxin Yang , Gao Xianlong , Zhaoxin Liang

We uncover an infinite family of time-reversal symmetric 3d interacting topological insulators of bosons or spins, in time-periodically driven systems, which we term Floquet topological paramagnets (FTPMs). These FTPM phases exhibit…

Strongly Correlated Electrons · Physics 2018-06-07 Andrew C. Potter , Ashvin Vishwanath , Lukasz Fidkowski

We study the emergence of electronic non-trivial topological flat bands in time-periodically driven strained graphene within a tight binding approach based on the Floquet formalism. In particular, we focus on uniaxial spatially periodic…

Mesoscale and Nanoscale Physics · Physics 2017-04-03 Pedro Roman-Taboada , Gerardo G. Naumis

Recently, Floquet systems have attracted a great deal of interest as they offer unprecedented ability to engineer topological states through the tuning of an external time-periodic drive. Consequentially, seeking new driving protocols that…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Sam Olin , Wei-Cheng Lee

A Floquet systems is a periodically driven quantum system. It can be described by a Floquet operator. If this unitary operator has a gap in the spectrum, then one can define associated topological bulk invariants which can either only…

Mathematical Physics · Physics 2017-10-25 Christian Sadel , Hermann Schulz-Baldes

Floquet engineering has the advantage of generating new phases with large topological invariants and many edge states by simple driving protocols. In this work, we propose an approach to obtain Floquet edge states with fourfold degeneracy…

Mesoscale and Nanoscale Physics · Physics 2020-03-17 Longwen Zhou , Qianqian Du

Floquet moir\'e materials possess optically-induced flat-electron bands with steady-states sensitive to drive parameters. Within this regime, we show that strong interaction screening and phonon bath coupling can overcome enhanced…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Christopher Yang , Iliya Esin , Cyprian Lewandowski , Gil Refael

Topological phases of matter have remained an active area of research in the last few decades. Periodic driving is known to be a powerful tool for enriching such exotic phases, which leads to various phenomena with no static analogs. One…

Mesoscale and Nanoscale Physics · Physics 2022-12-28 Zheyu Cheng , Raditya Weda Bomantara , Haoran Xue , Weiwei Zhu , Jiangbin Gong , Baile Zhang

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 engineering offers an unparalleled platform for realizing novel non-equilibrium topological phases. However, the unique structure of Floquet systems, which includes multiple quasienergy gaps, poses a significant challenge to…

Quantum Physics · Physics 2026-01-07 Chen-Yang Wang , Jing-Ping Xu , Ce Wang , Ya-Ping Yang

We investigate the effects of periodic fields and disorder on topological properties of a Weyl-semimetal thin film. The two periodic fields, i.e., a periodic magnetic field and elliptically polarized light, are discussed respectively. By…

Mesoscale and Nanoscale Physics · Physics 2018-12-31 Rui Chen , Dong-Hui Xu , Bin Zhou

We show how second-order Floquet engineering can be employed to realize systems in which many-body localization coexists with topological properties in a driven system. This allows one to implement and dynamically control a…

Disordered Systems and Neural Networks · Physics 2020-05-20 Kevin S. C. Decker , Christoph Karrasch , Jens Eisert , Dante M. Kennes

One-dimensional Floquet topological superconductors possess two types of degenerate Majorana edge modes at zero and $\pi$ quasieneriges, leaving more room for the design of boundary time crystals and quantum computing schemes than their…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Hailing Wu , Shenlin Wu , Longwen Zhou

We explore oscillatory behaviour in a family of periodically driven spin chains which are subject to a weak measurement followed by post-selection. We discover a transition to an oscillatory phase as the strength of the measurement is…

Quantum Physics · Physics 2023-06-23 Vikram Ravindranath , Xiao Chen
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