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Topological states of matter are robust quantum phases, characterised by propagating or localised edge states in an insulating bulk. Topological boundary states can be triggered by various mechanisms, for example by strong spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 S. E. Freeney , J. J. van den Broeke , A. J. J. Harsveld van der Veen , I. Swart , C. Morais Smith

We study the size effects on the transport properties in topological Anderson insulators by means of the Landauer-B\"uttiker formalism combined with the nonequilibrium Green function method. Conductances calculated for serval different…

Mesoscale and Nanoscale Physics · Physics 2011-07-27 Wei Li , Jiadong Zang , Yongjin Jiang

A salient feature of solid-state topological materials in two dimensions is the presence of conducting electronic edge states that are insensitive to scattering by disorder. Such unidirectional edge states have been explored in many…

Optics · Physics 2021-12-28 Sebabrata Mukherjee , Mikael C. Rechtsman

3D topological insulators are characterized by an insulating bulk and extended surface states exhibiting a helical spin texture. In this work, we investigate the hyperfine interaction between the spin-charge coupled transport of electrons…

Mesoscale and Nanoscale Physics · Physics 2025-02-19 A. Mert Bozkurt , Sofie Kölling , Alexander Brinkman , İnanç Adagideli

Motivated by the transmission of topological surface states through atomic scale steps, we study the transport of gapless Dirac fermions on hyperbolic surfaces. We confirm that, independent of the curvature of the hyperbolae and the…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 Udit Khanna , Saurabh Pradhan , Sumathi Rao

Quantum spin Hall edge transport in two-dimensional transition-metal dichalcogenides depends on whether their one-dimensional edge channels are preserved under realistic substrates and device boundaries. Here we implement spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Wei Li , Pier Philipsen , Thomas Brumme , Thomas Heine

The hallmark feature of topological insulators renders edge transport virtually impervious to scattering at defects and lattice disorder. In our work, we experimentally demonstrate a topological system, using a photonic platform, in which…

Nonlinear transport has emerged as a powerful approach to probe the quantum geometry of electronic wavefunctions, such as Berry curvature and quantum metric, in topological materials. While nonlinear responses governed by bulk quantum…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Deyi Zhuo , Xiaoda Liu , Huu-Thong Le , Annie G. Wang , Han Tay , Bomin Zhang , Ling-Jie Zhou , Binghai Yan , Chao-Xing Liu , Cui-Zu Chang

We study transport through interfaces in topological nodal-line semimetals, focusing on two geometries: a single interface between two large samples, one nodal-line semimetal and one metal, and an infinite nodal-line semimetal slab in…

Mesoscale and Nanoscale Physics · Physics 2024-05-14 Mattia Rudi , Alessandro De Martino , Kristof Moors , Domenico Giuliano , Francesco Buccheri

Crystals with symmetry-protected topological order, such as topological insulators, promise coherent spin and charge transport phenomena even in the presence of disorder at room temperature. Still, a major obstacle towards an application of…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 Paul Seifert , Marinus Kundinger , Gang Shi , Xiaoyue He , Kehui Wu , Yongqing Li , Alexander Holleitner , Christoph Kastl

Existence of robust edge modes at interfaces of topologically dissimilar systems is one of the most fascinating manifestations of a novel nontrivial state of matter, topological insulators. Such electronic states were originally predicted…

We investigate the effect of a crystal edge dislocation on the metallic surface of a Topological Insulator. The edge dislocation gives rise to torsion which the electrons experience as a spin connection. As a result the electrons propagate…

Mesoscale and Nanoscale Physics · Physics 2011-10-31 D. Schmeltzer

We propose the concept of 2D non-Abelian topological insulator which can explain the energy distributions of the edge states and corner states in systems with parity-time symmetry. From the viewpoint of non-Abelian band topology, we…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 Tianshu Jiang , Ruo-Yang Zhang , Qinghua Guo , Biao Yang , C. T. Chan

Our experimental studies of electron transport in wide (14 nm) HgTe quantum wells confirm persistence of a two-dimensional topological insulator state reported previously for narrower wells, where it was justified theoretically. Comparison…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 E. B. Olshanetsky , Z. D. Kvon , G. M. Gusev , A. D. Levin , O. E. Raichev , N. N. Mikhailov , S. A. Dvoretsky

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 M. Z. Hasan , C. L. Kane

A second-order topological insulator on a two-dimensional square lattice hosts zero-dimensional states inside a band gap. They are localized near $90^{\circ}$ and $270^{\circ}$ corners constituting an edge of the system. When the edge is in…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 Yuki Nagasato , Yositake Takane , Yukinori Yoshimura , Shin Hayashi , Takeshi Nakanishi

We have studied quantized transport in HgTe wells with inverted band structure corresponding to the two-dimensional topological insulator phase (2D TI) with locally-controlled density allowing n-p-n and n-2D TI-n junctions. The resistance…

Mesoscale and Nanoscale Physics · Physics 2013-02-15 G. M. Gusev , A. D. Levin , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky

Using first-principles calculations combined with Boltzmann transport theory, we investigate the effects of topological edge states on the thermoelectric properties of Bi nanoribbons. It is found that there is a competition between the edge…

Materials Science · Physics 2016-10-13 L. Cheng , H. J. Liu , J. H. Liang , J. Zhang , J. Wei , P. H. Jiang , D. D. Fan

We numerically demonstrate a practical means of systematically controlling topological transport on the surface of a three dimensional topological insulator, by introducing strong disorder in a layer of depth $d$ extending inward from the…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Vincent Sacksteder , Tomi Ohtsuki , Koji Kobayashi

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
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