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Related papers: Floquet Higher-Order Topological Insulators with A…

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We study the characterization and realization of higher-order topological Anderson insulator (HOTAI) in non-Hermitian systems, where the non-Hermitian mechanism ensures extra symmetries as well as gain and loss disorder.We illuminate that…

Disordered Systems and Neural Networks · Physics 2021-06-09 Hongfang Liu , Ji-Kun Zhou , Bing-Lan Wu , Zhi-Qiang Zhang , Hua Jiang

We develop a general theory for two-dimensional (2D) anomalous Floquet higher-order topological superconductors (AFHOTSC), which are dynamical Majorana-carrying phases of matter with no static counterpart. Despite the triviality of its bulk…

Materials Science · Physics 2021-10-13 DinhDuy Vu , Rui-Xing Zhang , Zhi-Cheng Yang , Sankar Das Sarma

We study two-terminal transport through two-dimensional periodically driven systems in which all bulk Floquet eigenstates are localized by disorder. We focus on the Anomalous Floquet-Anderson Insulator (AFAI) phase, a…

Mesoscale and Nanoscale Physics · Physics 2020-01-15 Arijit Kundu , Mark Rudner , Erez Berg , Netanel H. Lindner

We propose a network-model realization of magnetic higher-order topological phases (HOTPs) in the presence of the combined space-time symmetry $C_4\mathcal{T}$ -- the product of a fourfold rotation and time-reversal symmetry. We show that…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Hui Liu , Ali G. Moghaddam , Daniel Varjas , Ion Cosma Fulga

The topological orders in amorphous systems that lack crystalline symmetry have gained considerable attention recently. Here we propose the Floquet amorphous topological matter, among which the topological orders are explored in…

Mesoscale and Nanoscale Physics · Physics 2025-06-10 Peng He , Jing-Xin Liu , Hong Wu , Z. D. Wang

We investigate the ground-state phase diagram of a modified spinless Haldane-Hubbard model with broken threefold rotational symmetry, employing exact diagonalization calculations. The interplay of asymmetry, interactions, and topology gives…

Strongly Correlated Electrons · Physics 2023-05-03 Tian-Cheng Yi , Hai-Qing Lin , Rubem Mondaini

The modern theory of electric polarization in crystals associates the dipole moment of an insulator with a Berry phase of its electronic ground state [1, 2]. This concept constituted a breakthrough that not only solved the long-standing…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Christopher W. Peterson , Wladimir A. Benalcazar , Taylor L. Hughes , Gaurav Bahl

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…

Floquet phases of matter have attracted great attention due to their dynamical and topological nature that are unique to nonequilibrium settings. In this work, we introduce a generic way of taking any integer $q$th-root of the evolution…

Mesoscale and Nanoscale Physics · Physics 2022-08-16 Longwen Zhou , Raditya Weda Bomantara , Shenlin Wu

Based on first-principles calculations combined with theoretical analysis, we identify a family of monolayer chromium-based group-IV chalcogenides as a new class of two-dimensional (2D) magnetic higher-order topological insulators (HOTIs).…

Materials Science · Physics 2026-04-13 Ruo-Yu Ning , Yong-Kun Wang , Shifeng Qian , Si Li , Wen-Li Yang

We study positions of chiral hinge states in higher-order topological insulators (HOTIs) with inversion symmetry. First, we exhaust all possible configurations of the hinge states in the HOTIs in all type-I magnetic space groups with…

Mesoscale and Nanoscale Physics · Physics 2020-11-24 Yutaro Tanaka , Ryo Takahashi , Tiantian Zhang , Shuichi Murakami

We have found the first instance of a third-order topological Anderson insulator (TOTAI). This disorder-induced topological phase is gapped and characterized by a quantized octupole moment and topologically protected corner states, as…

Disordered Systems and Neural Networks · Physics 2024-09-19 Hugo Lóio , Miguel Gonçalves , Pedro Ribeiro , Eduardo V. Castro

We propose a systematic way of constructing Floquet second-order topological insulators (SOTIs) based on time-glide symmetry, a nonsymmorphic space-time symmetry that is unique in Floquet systems. In particular, we are able to show that the…

Mesoscale and Nanoscale Physics · Physics 2019-07-10 Yang Peng , Gil Refael

It is by now well established that periodically driven quantum many-body systems can realize topological nonequilibrium phases without any equilibrium counterpart. Here we show that, even in the absence of time translation symmetry,…

Disordered Systems and Neural Networks · Physics 2022-06-22 Hongzheng Zhao , Mark S. Rudner , Roderich Moessner , Johannes Knolle

We consider weak topological insulators with a twofold rotation symmetry around the dark direction, and show that these systems can be endowed with the topological crystalline structure of a higher-order topological insulator protected by…

Mesoscale and Nanoscale Physics · Physics 2020-08-04 Sander H. Kooi , Guido van Miert , Carmine Ortix

One of the most fascinating properties of topological phases of matter is their robustness to disorder and imperfections. Although several experimental techniques have been developed to probe the geometric properties of engineered…

The exploration of topological phases remains a cutting-edge research frontier, driven by their promising potential for next-generation electronic and quantum technologies. In this work, we employ first-principles calculations and…

Materials Science · Physics 2026-03-06 Sibin Lü , Jun Hu

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…

Quantum Physics · Physics 2022-09-07 Gang-Feng Guo , Yan Wang , Xi-Xi Bao , Lei Tan

We explore topological properties of a modulated Haldane model (MHM) in which the strength of the nearest-neighbor and next-nearest-neighbor terms is made unequal and the three-fold rotational symmetry $\mathcal{C}_3$ is broken by…

Mesoscale and Nanoscale Physics · Physics 2021-09-23 Baokai Wang , Xiaoting Zhou , Hsin Lin , Arun Bansil

Periodically driven quantum systems provide a novel and versatile platform for realizing topological phenomena. Among these are analogs of topological insulators and superconductors, attainable in static systems; however, some of these…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 Paraj Titum , Erez Berg , Mark S. Rudner , Gil Refael , Netanel H. Lindner