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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…

介观与纳米尺度物理 · 物理学 2020-06-08 Pierre Delplace

A driven quantum system has been recently studied in the context of nonequilibrium phase transitions and their responses. In particular, for a periodically driven system, its dynamics are described in terms of the multi-dimensional Floquet…

强关联电子 · 物理学 2023-03-08 HaRu K. Park , Junmo Jeon , Gil Young Cho , SungBin Lee

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…

介观与纳米尺度物理 · 物理学 2020-03-17 Longwen Zhou , Qianqian Du

This short Perspective article presents an overview of the discovery of topological $\pi$ modes as well as their physical significance in quantum computing and the understanding of an exotic phase of matter, i.e., the Floquet time crystal.…

量子物理 · 物理学 2022-11-24 Weiwei Zhu , Jiangbin Gong , Raditya Weda Bomantara

We show that one-dimensional Floquet trimer arrays with periodically oscillating waveguides support two different and co-existing types of topological Floquet edge states in two different topological gaps in Floquet spectrum. In these…

光学 · 物理学 2023-09-15 Shuang Shen , Yaroslav V. Kartashov , Yongdong Li , Yiqi Zhang

Tremendous efforts have been devoted to the search for exotic topological states, which usually exist at an interface between lattices with differing topological invariants according to the bulk-edge correspondence. Here, we show a new…

光学 · 物理学 2022-05-10 Wange Song , Hanmeng Li , Shenglun Gao , Shengjie Wu , Chen Chen , Shining Zhu , Tao Li

After extensive investigation on the Floquet second-order topological insulator (FSOTI) in two dimension (2D), here we propose two driving schemes to systematically engineer the hierarchy of Floquet first-order topological insulator, FSOTI,…

介观与纳米尺度物理 · 物理学 2022-04-06 Arnob Kumar Ghosh , Tanay Nag , Arijit Saha

We study the effects of a periodically driven electric field applied to a variety of tight-binding models in one dimension. We first consider a non-interacting system with or without a staggered on-site potential, and we find that that…

介观与纳米尺度物理 · 物理学 2021-02-17 Samudra Sur , Diptiman Sen

We study parafermion chains with $\mathbb{Z}_k$ symmetry subject to a periodic binary drive. We focus on the case $k=3$. We find that the chains support different Floquet edge modes at nontrivial quasienergies, distinct from those for the…

统计力学 · 物理学 2016-07-27 G J Sreejith , Achilleas Lazarides , Roderich Moessner

Non-equilibrium phases of matter have attracted much attention in recent years, among which the Floquet phase is a hot point. In this work, based on the Periodic driving Non-Hermitian model, we reveal that the winding number calculated in…

量子物理 · 物理学 2022-09-07 Gang-Feng Guo , Yan Wang , Xi-Xi Bao , Lei Tan

Floquet topological matter has emerged as one exciting platform to explore rich physics and game-changing applications of topological phases. As one remarkable and recently discovered feature of Floquet symmetry protected topological (SPT)…

量子物理 · 物理学 2018-10-23 Raditya Weda Bomantara , Jiangbin Gong

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

Topological insulators~(TIs) are a new class of materials that resemble ordinary band insulators in terms of a bulk band gap but exhibit protected metallic states on their boundaries. In this modern direction, higher-order TIs~(HOTIs) are a…

介观与纳米尺度物理 · 物理学 2024-09-16 Arnob Kumar Ghosh , Tanay Nag , Arijit Saha

Periodically driven non-Hermitian systems can exhibit rich topological band structure and non-Hermitian skin effect, without analogs in their static or Hermitian counterparts. In this work we investigate the exceptional band-touching points…

介观与纳米尺度物理 · 物理学 2020-01-22 Xizheng Zhang , Jiangbin Gong

Integrable Floquet spin chains are known to host strong zero and $\pi$ modes which are boundary operators that respectively commute and anticommute with the Floquet unitary generating stroboscopic time-evolution, in addition to…

强关联电子 · 物理学 2021-11-12 Daniel J. Yates , Aditi Mitra

Topological phases in quantum and classical systems have been of significant recent interest due to their fascinating physical properties. While a range of different mechanisms to induce topological order have been introduced, a quest for…

材料科学 · 物理学 2019-08-07 Mengyao Li , Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

We study the dynamics of isolated interacting spin chains that are periodically driven by sudden quenches. Using full exact diagonalization of finite chains, we show that these systems exhibit three distinct regimes. For short driving…

统计力学 · 物理学 2018-05-15 Luca D'Alessio , Marcos Rigol

We propose a generic scattering matrix model implementable in photonics to engineer a new Floquet metallic phase that combines two distinct topological properties: the winding of the bulk bands and the existence of robust chiral edge…

介观与纳米尺度物理 · 物理学 2022-03-07 Lavi Kumar Upreti , Clément Evain , Stephane Randoux , Pierre Suret , Alberto Amo , Pierre Delplace

Periodically driven quantum systems known as Floquet insulators can host topologically protected bound states known as "$\pi$ modes" that exhibit response at half the frequency of the drive. Such states can also appear in undriven lattice…

量子物理 · 物理学 2023-11-13 Thomas Iadecola , Srimoyee Sen , Lars Sivertsen

We present a joint experimental and theoretical study of the driven Su-Schrieffer-Heeger model implemented by arrays of evanescently coupled plasmonic waveguides. Floquet theory predicts that this system hosts for suitable driving…

光学 · 物理学 2022-03-11 Anna Sidorenko , Zlata Fedorova , Johann Kroha , Stefan Linden