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Quasi-1D nanowires of topological insulators are emerging candidate structures in superconductor hybrid architectures for the realization of Majorana fermion based quantum computation schemes. It is however technically difficult to both…

We provide an effective description of fractional topological insulators that include the fractional quantum spin Hall effect by considering the time-reversal symmetric pendant to the topological quantum field theories that encode the…

Strongly Correlated Electrons · Physics 2013-05-29 Luiz Santos , Titus Neupert , Shinsei Ryu , Claudio Chamon , Christopher Mudry

Topological insulators exhibit boundary states protected by bulk band topology, a principle first established in quantum systems and later extended to classical waves, including phononics. Conventionally, an $n$-dimensional bulk with…

Mesoscale and Nanoscale Physics · Physics 2025-11-26 Joel R. Pyfrom , Kai Sun , Jihong A. Ma

Higher-order topological insulators are a recently discovered class of materials that can possess zero-dimensional localized states regardless of the dimension of the lattice. Here, we experimentally demonstrate that the topological…

A large bulk band gap is critical for the applications of quantum spin hall (QSH) insulators in spintronics at room temperature. Based on first-principles calculations, we predict that the methyl-functionalized III-Bi monolayers, namely…

Materials Science · Physics 2018-02-07 Qing Lu , Busheng Wang , Xiang-Rong Chen , Wu-Ming Liu

The bulk-boundary correspondence relates quantized edge states to bulk topological invariants in topological phases of matter. In one-dimensional symmetry-protected topological systems (SPTs), quantized topological Thouless pumps directly…

Strongly Correlated Electrons · Physics 2022-06-20 Julian F. Wienand , Friederike Horn , Monika Aidelsburger , Julian Bibo , Fabian Grusdt

Topological matter and topological optics have been studied in many systems, with promising applications in materials science and photonics technology. These advances motivate the study of the interaction between topological matter and…

Quantum Physics · Physics 2021-04-28 Wei Nie , Tao Shi , Franco Nori , Yu-xi Liu

Three-dimensional topological (crystalline) insulators are materials with an insulating bulk, but conducting surface states which are topologically protected by time-reversal (or spatial) symmetries. Here, we extend the notion of…

Mesoscale and Nanoscale Physics · Physics 2018-06-05 Frank Schindler , Ashley M. Cook , Maia G. Vergniory , Zhijun Wang , Stuart S. P. Parkin , B. Andrei Bernevig , Titus Neupert

We study the boundary physics of bulk insulators by considering three coupled Hubbard chains in a linear confining potential. In the Hartree-Fock approximation, the ground state at and slightly off the particle-hole symmetric point remains…

Mesoscale and Nanoscale Physics · Physics 2022-02-10 Niels John , Yuval Gefen , Bernd Rosenow

Quantum spin Hall (QSH) materials are two-dimensional systems exhibiting insulating bulk and helical edge states simultaneously. A QSH insulator processes topologically non-trivial edge states protected by time-reversal symmetry, so that…

Topological states of quantum matter exhibit unique disorder-immune surface states protected by underlying nontrivial topological invariants of the bulk. Such immunity from backscattering makes topological surface or edge states ideal…

Mesoscale and Nanoscale Physics · Physics 2015-11-09 S. Hossein Mousavi , Alexander B. Khanikaev , Zheng Wang

Exploring the bulk-boundary correspondences and the boundary-induced phenomena in the strongly-correlated quantum systems belongs to the most fundamental topics of condensed matter physics. In this work, we study the bulk-boundary…

Quantum Physics · Physics 2023-10-18 Ding-Zu Wang , Guo-Feng Zhang , Maciej Lewenstein , Shi-Ju Ran

The spectral and dynamical properties of dissipative quantum systems, as modeled by a damped oscillator in the Fock space, are investigated from a topological point of view. Unlike a physical lattice system that is naturally under the open…

Quantum Physics · Physics 2021-06-02 Jian-Song Pan , Linhu Li , Jiangbin Gong

Topological edge states at the boundary of quantum spin Hall (QSH) insulators hold great promise for dissipationless electron transport. The device application of topological edge states has several critical requirements for the QSH…

Materials Science · Physics 2015-01-13 Jin-Jian Zhou , Wanxiang Feng , Gui-Bin Liu , Yugui Yao

Most natural and artificial materials have crystalline structures from which abundant topological phases emerge [1-6]. The bulk-edge correspondence, widely-adopted in experiments to determine the band topology from edge properties, however,…

Materials Science · Physics 2021-01-26 Yang Liu , Shuwai Leung , Fei-Fei Li , Zhi-Kang Lin , Xiufeng Tao , Yin Poo , Jian-Hua Jiang

Recent discoveries have spurred the theoretical prediction and experimental realization of novel materials that have topological properties arising from band inversion. Such topological insulators are insulating in the bulk but have…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 M. Kotulla , U. Zülicke

We study the influence of reflective boundaries on time-dependent responses of one-dimensional quantum fluids at zero temperature beyond the low-energy approximation. Our analysis is based on an extension of effective mobile impurity models…

Strongly Correlated Electrons · Physics 2016-06-01 I. S. Eliëns , F. B. Ramos , J. C. Xavier , R. G. Pereira

Higher-order topological insulators have a modified bulk-boundary correspondence compared to other topological phases: instead of gapless edge or surface states, they have gapped edges and surfaces, but protected modes at corners or hinges.…

Strongly Correlated Electrons · Physics 2018-12-12 Yizhi You , Trithep Devakul , F. J. Burnell , Titus Neupert

Excitonic insulator remains elusive and there has been a lack of reliable identification methods. In this work, we demonstrate the promise of topological excitonic insulators for identification due to their unique bulk-edge correspondence,…

Strongly Correlated Electrons · Physics 2025-10-28 Hongwei Qu , Zeying Zhang , Yuanchang Li

The bulk-boundary correspondence (BBC), i.e. the direct relation between bulk topological invariants defined for infinite periodic systems and the occurrence of protected zero-energy surface states in finite samples, is a ubiquitous and…

Mesoscale and Nanoscale Physics · Physics 2020-04-17 Rebekka Koch , Jan Carl Budich