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An unpaired gapless Dirac electron emergent at the surface of a strong topological insulator (STI) is protected by the bulk-surface correspondence and believed to be immune to backward scattering. It is less obvious, however, and yet to be…

Mesoscale and Nanoscale Physics · Physics 2012-08-31 Yositake Takane , Ken-Ichiro Imura

Topologically protected one-way transportation of sound, mimicking the topological properties of the condensed matter, has received greatly attentions. Thus far, the topological phases and the topological edge states of sound are yielded in…

Materials Science · Physics 2018-04-18 Bai-Zhan Xia , Sheng-Jie Zheng , Ning Chen , Ting-Ting Liu , Jun-Rui Jiao , Hong-Qing Dai , De-Jie Yu , Jian Liu

Helical edge modes of 2D topological insulators are supposed to be protected from time-reversal invariant elastic backscattering. Yet substantial deviations from the perfect conductance are typically observed experimentally down to very low…

Mesoscale and Nanoscale Physics · Physics 2019-02-12 V. D. Kurilovich , P. D. Kurilovich , I. S. Burmistrov , M. Goldstein

A quantum magnetic impurity of spin $S$ at the edge of a two-dimensional time reversal invariant topological insulator may give rise to backscattering. We study here the shot noise associated with the backscattering current for arbitrary…

Mesoscale and Nanoscale Physics · Physics 2019-08-09 Pavel D. Kurilovich , Vladislav D. Kurilovich , Igor S. Burmistrov , Yuval Gefen , Moshe Goldstein

Focusing on the recently-discovered candidate topological insulator $\alpha$-(BEDT-TSeF)$_2$I$_3$ -- having two-dimensional charge-neutral Dirac cones in a low symmetry lattice -- we combine ab-initio and extended-Hubbard model calculations…

Mesoscale and Nanoscale Physics · Physics 2022-05-24 Daigo Ohki , Kazuyoshi Yoshimi , Akito Kobayashi

We study interaction-driven edge reconstruction in a quantum spin Hall insulator described by the Bernevig-Hughes-Zhang model with Kanamori-Hubbard interactions using the real-space density matrix renormalization group method in both the…

Mesoscale and Nanoscale Physics · Physics 2025-08-15 Rahul Soni , Matthias Thamm , Gonzalo Alvarez , Bernd Rosenow , Adrian Del Maestro

We consider a four-terminal setup of a two-dimensional topological insulator (quantum spin Hall insulator) with local tunneling between the upper and lower edges. The edge modes are modeled as helical Luttinger liquids and the…

Strongly Correlated Electrons · Physics 2011-08-30 Thomas L. Schmidt

We consider two helical liquids on opposite edges of a narrow two-dimensional topological insulator, which are connected by one or several local tunnel junctions. In the presence of spatially inhomogeneous Rashba spin-orbit coupling, the…

Mesoscale and Nanoscale Physics · Physics 2013-10-29 Christoph P. Orth , Grégory Strübi , Thomas L. Schmidt

We discuss transport through interferometer formed by helical edge states tunnel-coupled to metallic leads. We focus on the experimentally relevant case of relatively high temperature as compared to the level spacing and discuss a response…

Mesoscale and Nanoscale Physics · Physics 2018-07-25 R. A. Niyazov , D. N. Aristov , V. Yu. Kachorovskii

Mainstream among topological insulators, GaSb/InAs quantum wells present a broken gap alignment for the energy bands which supports the quantum spin Hall insulator phase and forms an important building block in the search of exotic states…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 T. Campos , M. A. T. Sandoval , L. Diago-Cisneros , G. M. Sipahi

The breaking of time-reversal symmetry is a crucial ingredient to topological bands. It can occur intrisically in materials with magnetic order, or be induced by external fields, such as magnetic fields in quantum Hall systems, or…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Utso Bhattacharya , Swati Chaudhary , Tobias Grass , Allan S. Johnson , Simon Wall , Maciej Lewenstein

We study the edges of fractional quantum spin Hall insulators (FQSH) with half-integer spin Hall conductance. These states can be viewed as symmetric combinations of a spin-up and spin-down half-integer fractional quantum Hall state (FQH)…

Mesoscale and Nanoscale Physics · Physics 2024-03-08 Julian May-Mann , Ady Stern , Trithep Devakul

We study interaction-induced backscattering mechanism for helical edge states of a two-dimensional topological insulator which is tunnel-coupled to a puddle located near the edge channel. The mechanism does not involve inelastic scattering…

Mesoscale and Nanoscale Physics · Physics 2025-12-05 I. V. Krainov , R. A. Niyazov , D. N. Aristov , V. Yu. Kachorovskii

The edge states of two-dimensional time-reversal topological insulators support a perfect helical conductance on wide ribbons due to the absence of backscattering. Here, we study the changes in the transport properties of topological…

Mesoscale and Nanoscale Physics · Physics 2021-05-17 R. P. Maciel , A. L. Araújo , C. H. Lewenkopf , G. J. Ferreira

We present an effective low-energy theory of electron-phonon coupling effects for clean cylindrical topological insulator nanowires. Acoustic phonons are modelled by isotropic elastic continuum theory with stress-free boundary conditions.…

Mesoscale and Nanoscale Physics · Physics 2020-01-07 Kathrin Dorn , Alessandro De Martino , Reinhold Egger

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

Precise control of elastic waves in modes and coherences is of great use in reinforcing nowadays elastic energy harvesting/storage, nondestructive testing, wave-mater interaction, high sensitivity sensing and information processing, etc.…

Mesoscale and Nanoscale Physics · Physics 2017-07-18 Si-Yuan Yu , Cheng He , Zhen Wang , Fu-Kang Liu , Xiao-Chen Sun , Zheng Li , Ming-Hui Lu , Xiao-Ping Liu , Yan-Feng Chen

The boundary modes of topological insulators are protected by the symmetries of the non-trivial bulk electronic states. Unless these symmetries are broken, they can give rise to novel phenomena, such as the quantum spin Hall effect in…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 Berthold Jäck , Yonglong Xie , B. Andrei Bernevig , Ali Yazdani

This paper proposes a quantitative description of the low energy edge states at the interface between two-dimensional topological insulators. They are modeled by continuous Hamiltonians as systems of Dirac equations that are amenable to a…

Mathematical Physics · Physics 2018-08-16 Guillaume Bal

Helical edge states in topological insulators give counterpropagating spin current on the two parallel edges. We here propose anti-helical edge states of magnons in patterned antiferromagnetic thin films, which host copropagating spin…

Mesoscale and Nanoscale Physics · Physics 2023-07-18 Yun-Mei Li