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Helical edge states in quantum spin Hall (QSH) materials are central building blocks of topological matter design and engineering. Despite their principal topological protection against elastic backscattering, the level of operational…

Mesoscale and Nanoscale Physics · Physics 2023-05-05 Maciej Bieniek , Jukka I. Väyrynen , Gang Li , Titus Neupert , Ronny Thomale

Two-dimensional topological insulators, and in particular quantum Hall states, are characterized by an insulating bulk and a conducting edge. Fractional states may host both downstream (dictated by the magnetic field) and upstream…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 Ron Aharon Melcer , Bivas Dutta , Christian Spånslätt , Jinhong Park , Alexander D. Mirlin , Vladimir Umansky

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

The 2D HgTe quantum well is analyzed based on the assumption that the width fluctuations convert the system to a random mixture of domains with positive and negative energy gaps. The borders between ordinary and topological insulator phases…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 M. M. Mahmoodian , M. V. Entin

Topological insulators (TIs) are a new quantum state of matter which have gapless surface states inside the bulk energy gap. Starting with the discovery of two dimensional TIs, the HgTe-based quantum wells, many new topological materials…

Materials Science · Physics 2012-12-03 Lukas Müchler , Frederick Casper , Binghai Yan , Stanislav Chadov , Claudia Felser

Room-temperature realization of macroscopic quantum phenomena is one of the major pursuits in fundamental physics. The quantum spin Hall state, a topological quantum phenomenon that features a two-dimensional insulating bulk and a helical…

Photonic topological insulators supporting unidirectional topologically protected edge states represent attractive platform for realization of disorder- and backscattering-immune transport of edge excitations in both linear and nonlinear…

The existence of edge states is one of the most vital properties of topological insulators. Although tremendous success has been accomplished in describing and explaining edge states associated with PT symmetry breaking, little work has…

Mathematical Physics · Physics 2025-03-11 Ying Cao , Yi Zhu

Linearity of the topological insulator edge state spectrum plays the crucial role for various transport phenomena. The previous studies found that this linearity exists near the spectrum crossing point, but did not determine how perfect the…

Mesoscale and Nanoscale Physics · Physics 2017-08-15 M. V. Entin , M. M. Mahmoodian , L. I. Magarill

Controlling materials to create and tune topological phases of matter could potentially be used to explore new phases of topological quantum matter and to create novel devices where the carriers are topologically protected. It has been…

We show that hybrid structures of topological insulators and materials without topological protection can be employed to create perfectly conducting channels hosted in the non-topological part. These states inherit the topological…

Mesoscale and Nanoscale Physics · Physics 2014-11-26 Sven Essert , Viktor Krueckl , Klaus Richter

Two-dimensional (2D) topological electronic insulators are known to give rise to gapless edge modes, which underlie low energy dynamics, including electrical and thermal transport. This has been thoroughly investigated in the context of…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Udit Khanna , Yuval Gefen , Ora Entin-Wohlman , Amnon Aharony

We report experimental and theoretical evidence that GaGeTe is a basic $Z_2$ topological semimetal with three types of charge carriers: bulk-originated electrons and holes as well as surface state electrons. This electronic situation is…

We report the discovery of several classes of novel topological insulators (TIs) with hybrid-order boundary states generated from the first-order TIs with additional crystalline symmetries. Unlike the current studies on hybrid-order TIs…

Mesoscale and Nanoscale Physics · Physics 2025-05-09 Yan-Qing Zhu , Zhen Zheng , Giandomenico Palumbo , Z. D. Wang

The indirect exchange interaction between magnetic impurities located in the bulk of a two-dimensional topological insulator decays exponentially with the distance. The indirect exchange interaction for magnetic impurities mediated by the…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 V. D. Kurilovich , P. D. Kurilovich , I. S. Burmistrov

We study experimentally the transport properties of "inverted" semiconductor HgTe-based quantum well, which is related to the two-dimensional topological insulator, in diffusive transport regime. We perform nonlocal electrical measurements…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 G. M. Gusev , Z. D. Kvon , O. A. Shegai , N. N. Mikhailov , S. A. Dvoretsky , J. C. Portal

For materials near the phase boundary between weak and strong topological insulators (TIs), their band topology depends on the band alignment, with the inverted (normal) band corresponding to the strong (weak) TI phase. Here, taking the…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 Y. Jiang , J. Wang , T. Zhao , Z. L. Dun , Q. Huang , X. S. Wu , M. Mourigal , H. D. Zhou , W. Pan , M. Ozerov , D. Smirnov , Z. Jiang

The results of a detailed study of the topological insulator Bi$_2$Se$_3$ surface state energy structure in the vicinity of surface steps using scanning tunneling microscopy and spectroscopy methods are presented. An increase in the…

Materials Science · Physics 2017-04-11 N. I. Fedotov , S. V. Zaitsev-Zotov

Breaking time reversal symmetry in a topological insulator may lead to quantum anomalous Hall effect and axion insulator phase. MnBi4Te7 is a recently discovered antiferromagnetic topological insulator with TN ~12.5 K, which is constituted…

We study the eigenspectrum properties of a one-dimensional molecular chain composed of hexagonal unit cells. The system features two alternating hopping parameters, resulting in a rich energy spectrum with both dispersive and flat bands. By…

Mesoscale and Nanoscale Physics · Physics 2026-05-13 M. Niţă
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