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Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 M. Z. Hasan , C. L. Kane

Hopf insulators represent an exceptional class of topological matter unanticipated by the periodic table of topological invariants. These systems point to the existence of previously unexplored states of matter with unconventional topology.…

Strongly Correlated Electrons · Physics 2025-12-19 Konstantinos Ladovrechis , Shouvik Sur

A topological insulator is regarded as an ideal candidate for information storage and high-speed lossless electrical transmission devices due to robust topological protected boundary modes. Previous studies revealed that symmetry exerts an…

Mesoscale and Nanoscale Physics · Physics 2026-01-06 Ming-Jian Gao , Jun-Hong An

Higher-order topological insulators have attracted significant interest in both static single-particle and many-body lattice systems. While periodically driven (Floquet) higher-order topological phases have been explored at the…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Chun-Ping Su , Zhao-Fan Cai , Tao Liu

We propose a novel way of modulating exceptional topology by implementing Floquet engineering in non-hermitian (NH) systems. We introduce Floquet exceptional topological insulator which results from shining light on a conventional…

Mesoscale and Nanoscale Physics · Physics 2024-02-23 Gaurab Kumar Dash , Subhajyoti Bid , Manisha Thakurathi

Higher order topological insulators (HOTI) have emerged as a new class of phases, whose robust in-gap "corner" modes arise from the bulk higher-order multipoles beyond the dipoles in conventional topological insulators. Here, we incorporate…

Strongly Correlated Electrons · Physics 2020-06-02 Biao Huang , W. Vincent Liu

Hopf insulators represent a unique class of topological insulators that exist exclusively in two-band systems and are inherently unstable upon the inclusion of additional bands. Meanwhile, recent studies have shown that non-Hermiticity…

Mesoscale and Nanoscale Physics · Physics 2025-08-20 Daichi Nakamura , Kohei Kawabata

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

An electron moving in a magnetically ordered background feels an effective magnetic field that can be both stronger and more rapidly varying than typical externally applied fields. One consequence is that insulating magnetic materials in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Joel E. Moore , Ying Ran , Xiao-Gang Wen

Our understanding of topological insulators is based on an underlying crystalline lattice where the local electronic degrees of freedom at different sites hybridize with each other in ways that produce nontrivial band topology, and the…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 Adhip Agarwala , Vijay B. Shenoy

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…

Floquet engineering is an important tool for realizing topologically nontrivial band structures for charge-neutral atoms in optical lattices. However, the preparation of a topological-band-insulator-type state of fermions, with one…

Quantum Gases · Physics 2024-08-14 Alexander Schnell , Christof Weitenberg , André Eckardt

Photonic and acoustic topological insulators exhibiting one-way transportation that is robust against defects and impurities are typically realized in coupled arrays of two-dimensional ring resonators. These systems have produced a series…

Applied Physics · Physics 2020-06-23 Zhiwei Guo , Yong Sun , Haitao Jiang , Ya-Qiong Ding , Yunhui Li , Yewen Zhang , Hong Chen

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…

Materials Science · Physics 2019-08-07 Mengyao Li , Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

While periodically-driven phases offer a unique insight into non-equilibrium topology that is richer than its static counterpart, their experimental realization is often hindered by ubiquitous decoherence effects. Recently, we have proposed…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Selma Franca , Fabian Hassler , Ion Cosma Fulga

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

Time-periodic perturbations can be used to engineer topological properties of matter by altering the Floquet band structure. This is demonstrated for a spin Hall insulator in the presence of monochromatic circularly polarized light. The…

Mesoscale and Nanoscale Physics · Physics 2012-02-02 Balázs Dóra , Jérôme Cayssol , Ferenc Simon , Roderich Moessner

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

We introduce a class of topological lasers based on the photonic Floquet topological insulator concept. The proposed system is realized as a truncated array of the lasing helical waveguides, where the pseudo-magnetic field arises due to…

Engineering synthetic dimensions, where the physics of additional spatial dimensions is simulated within the internal states of a quantum system, allows the realisation of phenomena not otherwise accessible in experiments. Ultracold…