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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

It has been proposed that adding disorder to a topologically trivial mercury telluride/cadmium telluride (HgTe/CdTe) quantum well can induce a transition to a topologically nontrivial state. The resulting state was termed topological…

Mesoscale and Nanoscale Physics · Physics 2016-04-07 Christoph P. Orth , Tibor Sekera , Christoph Bruder , Thomas L. Schmidt

We consider a quantum dimer model (QDM) on the kagome lattice which was introduced recently [Phys. Rev. Lett. 89, 137202 (2002)]. It realizes a Z_2 liquid phase and its spectrum was obtained exactly. It displays a topological degeneracy…

Strongly Correlated Electrons · Physics 2007-05-23 Gregoire Misguich , Vincent Pasquier , Frederic Mila , Claire Lhuillier

Higher-order topological insulators have attracted significant interest in recent years. However, identifying a universal topological invariant capable of characterizing higher-order topology remains challenging. Here, we propose a…

Mesoscale and Nanoscale Physics · Physics 2025-12-12 Yu-Long Zhang , Cheng-Ming Miao , Qing-Feng Sun , Jian-Jun Liu , Ying-Tao Zhang

We found that non-magnetic defects in two-dimensional topological insulators induce bound states of two kinds for each spin orientation: electron- and hole-like states. Depending on the sign of the defect potential these states can be also…

Mesoscale and Nanoscale Physics · Physics 2015-02-17 Vladimir A. Sablikov , Aleksei A. Sukhanov

We study the effects of periodic driving on a variant of the Bernevig-Hughes-Zhang (BHZ) model defined on a square lattice. In the absence of driving, the model has both topological and nontopological phases depending on the different…

Mesoscale and Nanoscale Physics · Physics 2019-09-05 Ranjani Seshadri , Anirban Dutta , Diptiman Sen

Higher-dimensional topological meta-materials have more flexible than one-dimensional topological materials, which are more convenient to apply and solve practical problems. However, in diffusion systems, higher-dimensional topological…

Mesoscale and Nanoscale Physics · Physics 2026-05-06 Minghong Qi , Yanxiang Wang , Pei-Chao Cao , Xue-Feng Zhu , Fei Gao , Hongsheng Chen , Ying Li

High-order topological insulators (TIs) are a family of recently-predicted topological phases of matter obeying an extended topological bulk-boundary correspondence principle. For example, a two-dimensional (2D) second-order TI does not…

Mesoscale and Nanoscale Physics · Physics 2020-06-17 Haoran Xue , Yahui Yang , Fei Gao , Yidong Chong , Baile Zhang

Recently, higher-order topological phases that do not obey the usual bulk-edge correspondence principle have been introduced in electronic insulators and brought into classical systems, featuring with in-gap corner/hinge states. So far,…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Xiao-Dong Chen , Wei-Min Deng , Fu-Long Shi , Fu-Li Zhao , Min Chen , Jian-Wen Dong

Topological insulators (TIs) are new insulating materials with exotic surface states, where the motion of charge carriers is described by the Dirac equations and their spins are locked in a perpendicular direction to their momentum. Recent…

Mesoscale and Nanoscale Physics · Physics 2014-05-01 Fei-Xiang Xiang , Xiao-Lin Wang , Shi-Xue Dou

The topological states of the two-leg and three-leg ladders formed by two trivial quantum wires with different lattice constants are theoretically investigated. Firstly, we take two trivial quantum wires with a lattice constant ratio of 1:2…

Mesoscale and Nanoscale Physics · Physics 2025-01-10 Jing-Run Lin , Linxi Lv , Zheng-Wei Zuo

The three-dimensional (3D) topological insulators (TIs), hosting topologically protected helical surface states, can be promoted into second-order TIs when a diagonal Zeeman term, typical of magnetic doping, is introduced. The latter hosts…

Mesoscale and Nanoscale Physics · Physics 2026-04-24 Zhe Hou , Ai-Min Guo

We investigate a system consisting of one or two topological-insulator leads which are tunnel coupled to a single dot level. The leads are described by the one-dimensional Su-Schrieffer-Heeger model. We show that (topological) edge states…

Mesoscale and Nanoscale Physics · Physics 2022-03-18 Martin T. Maurer , Yen-Ting Lin , Dante M. Kennes , Mikhail Pletyukhov , Herbert Schoeller , Volker Meden

We report on spectroscopy of a single dopant atom in silicon by resonant tunneling between source and drain of a gated nanowire etched from silicon on insulator. The electronic states of this dopant isolated in the channel appear as…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 H. Sellier , G. P. Lansbergen , J. Caro , N. Collaert , I. Ferain , M. Jurczak , S. Biesemans , S. Rogge

Electric circuits are known to realize topological quadrupole insulators. We explore electric circuits made of capacitors and inductors forming the breathing Kagome and pyrochlore lattices. They are known to possess three phases (trivial…

Mesoscale and Nanoscale Physics · Physics 2019-01-17 Motohiko Ezawa

We examine the combined effects of a Kekule coupling texture (KC) and a Dzyaloshinskii-Moriya interaction (DMI) in a two-dimensional ferromagnetic honeycomb lattice. By analyzing the gap closing conditions and the inversions of the bulk…

Mesoscale and Nanoscale Physics · Physics 2019-01-18 Pierre A. Pantaleon , Ramon Carrillo-Bastos , Y. Xian

Noncollinear and noncoplanar magnetic orders lead to unusual electronic structures and transport properties. We here investigate two types of multiple-Q magnetically ordered states and a topological phase transition between them in two…

Strongly Correlated Electrons · Physics 2015-02-10 Satoru Hayami , Yukitoshi Motome

We demonstrate that in a superconducting multilayered system with alternating interlayer coupling a new type of nonuniform superconducting state can be realized under in-plane magnetic field. The Zeeman effect in this state is compensated…

Superconductivity · Physics 2009-11-11 A. Buzdin , S. Tollis , J. Cayssol

Two-dimensional topological insulators are characterized by gapped bulk states and gapless helical edge states, i.e. time-reversal symmetric edge states accommodating a pair of counter-propagating electrons. An external magnetic field…

Mesoscale and Nanoscale Physics · Physics 2012-04-02 G. Tkachov , E. M. Hankiewicz

The Zeeman interaction is a quantum mechanical effect that underpins spin-based quantum devices such as spin qubits. Typically, identification of the Zeeman interaction needs a large out-of-plane magnetic field coupled with ultralow…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 E. Marcellina , Pankaj Bhalla , A. R. Hamilton , Dimitrie Culcer