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Thouless pumping provides one of the simplest manifestations of topology in quantum systems, and has attracted a lot of recent interest, both theoretically and experimentally. Since the seminal works by Thouless and Niu in 1983 and 1984, it…

Quantum Gases · Physics 2023-02-13 Roberta Citro , Monika Aidelsburger

One-dimensional (1D) topological superconductivity is a state of matter that is not found in nature. However, it can be realised, for example, by inducing superconductivity into the quantum spin Hall edge state of a two-dimensional…

In an ultrathin topological insulator (TI) film, a hybridization gap opens in the TI surface states, and the system is expected to become either a trivial insulator or a quantum spin Hall insulator when the chemical potential is within the…

Mesoscale and Nanoscale Physics · Physics 2018-12-26 D. Nandi , B. Skinner , G. H. Lee , K. -F. Huang , K. Shain , Cui-Zu Chang , Y. Ou , S. -P. Lee , J. Ward , J. S. Moodera , P. Kim , B. I. Halperin , A. Yacoby

We report the experimental observation of Anderson localization in two-dimensional (2D) electrons and holes in the bulk of HgTe quantum wells with a semimetallic spectrum and under strong disorder. In contrast, the one-dimensional (1D) edge…

Mesoscale and Nanoscale Physics · Physics 2024-12-10 D. A. Khudaiberdiev , Z. D. Kvon , M. S. Ryzhkov , D. A. Kozlov , N. N. Mikhailov , A. Pimenov

Features of a topological phase, and edge states in particular, may be obscured by overlapping in energy with a trivial conduction band. The topological nature of such a conductor, however, is revealed in its transport properties,…

Mesoscale and Nanoscale Physics · Physics 2013-12-10 Alexandra Junck , Kun W. Kim , Doron L. Bergman , T. Pereg-Barnea , Gil Refael

Recent breakthrough on topological Anderson insulators revealed the breakdown of the traditional perception that sufficiently strong disorder may induce the appearance of topological protected transport states instead of destruction.…

Mesoscale and Nanoscale Physics · Physics 2021-11-15 Hui Liu , Boyang Xie , Haonan Wang , Wenwei Liu , Zhancheng Li , Hua Cheng , Jianguo Tian , Zhengyou Liu , Shuqi Chen

Topological insulators exhibit gapless edge or surface states that are topologically protected by time-reversal symmetry. However, several promising candidates for topologically insulating materials (such as Bi$_2$Se$_3$ and HgTe) contain…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 Arian Vezvaee , Antonio Russo , Sophia E. Economou , Edwin Barnes

Topolectrical circuits have emerged as a pivotal platform for realizing static topological states that are challenging to construct in other systems, facilitating the design of robust circuit devices. In addition to spatial dimensionality,…

Mesoscale and Nanoscale Physics · Physics 2025-01-27 Weixuan Zhang , Wenhui Cao , Long Qian , Hao Yuan , Xiangdong Zhang

We study soliton Thouless pumping in an extended diagonal Aubry-Andr\'e-Harper model with on-site nonlinearities and inter-site nonlinearities. We show that the inter-site nonlinearities can make solitons acquire anomalous transport…

Pattern Formation and Solitons · Physics 2026-01-06 Tao Jiang , Li-Chen Zhao

Bilinear magnetoresistance is a nonlinear transport phenomenon that scales linearly with the electric and magnetic fields, and appears in nonmagnetic systems with strong spin-orbit coupling, such as topological insulators (TIs). Using the…

Mesoscale and Nanoscale Physics · Physics 2022-03-23 A. N. Zarezad , A. Dyrdał

Boundary obstructed topological insulators are an unusual class of higher-order topological insulators with topological characteristics determined by the so-called Wannier bands. Boundary obstructed phases can harbor hinge/corner modes, but…

Disordered Systems and Neural Networks · Physics 2020-10-07 Jahan Claes , Taylor L. Hughes

The coupled-wires approach has been shown to be useful in describing two-dimensional strongly interacting topological phases. In this manuscript we extend this approach to three-dimensions, and construct a model for a fractional strong…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Eran Sagi , Yuval Oreg

The topological mechanics is a perfect tool that can bridge the gap between the quantum and Newtonian physics and mechanics of materials. It requires discrete models of the material with analogies with the topological characteristics of…

Applied Physics · Physics 2020-06-02 Mohamed Shaat

Topological insulators are transformative quantum solids with immune-to-disorder metallic surface states having Dirac band structure. Ubiquitous charged bulk defects, however, pull the Fermi energy into the bulk bands, denying access to…

High-efficiency energy harvesting of ultrasonic elastic waves are crucial for powering electric gadgets in many emerging technologies such as wearable devices, wireless sensing, and biomedical implants. Although topological phononic…

Optics · Physics 2026-02-04 Jiamin Guo , Zhongming Gu , Lei Fan , Jie Liu , Yafeng Chen , Zhongqing Su , Jie Zhu

The detection of topological phases of matter becomes a central issue in recent years. Conventionally, the realization of a specific topological phase in condensed matter physics relies on probing the underlying surface band dispersion or…

Quantum Physics · Physics 2020-09-02 Tao Xin , Yishan Li , Yu-ang Fan , Xuanran Zhu , Yingjie Zhang , Xinfang Nie , Jun Li , Qihang Liu , Dawei Lu

Damping typically results in attenuation of vibrations and elastic wave propagation in mechanical systems. Contrary to this conventional understanding, we demonstrate experimentally and explain theoretically the revival of an elastic wave…

Applied Physics · Physics 2024-05-13 Yanghao Fang , William Tuxbury , Abhishek Gupta , Tsampikos Kottos , Ramathasan Thevamaran

Robust quantization of particle transport, as in a Thouless pump, is a hallmark of topological quantum systems with externally controlled system parameters. Here we instead propose and analyze a Thouless pump, for fermions in a…

Quantum Physics · Physics 2026-05-11 Julius Bohm , James Anglin , Michael Fleischhauer

The spin-momentum locked nature of the robust surface states of three dimensional topological insulators (3D TI) make them promising candidates for spintronics applications. Surface potentials which respect time reversal symmetry can exist…

Mesoscale and Nanoscale Physics · Physics 2016-02-18 Sthitadhi Roy , Sourin Das

Ballistic transport of helical edge modes in two-dimensional topological insulators is protected by time-reversal symmetry. Recently it was pointed out [1] that coupling of non-interacting helical electrons to an array of randomly…

Mesoscale and Nanoscale Physics · Physics 2015-12-31 O. M. Yevtushenko , A. Wugalter , V. I. Yudson , B. L. Altshuler