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We theoretically find that the second-order topological insulator, i.e., corner states, can be engineered by coupling two copies of two-dimensional $\mathbb{Z}_2$ topological insulators with opposite spin-helicities. As concrete examples,…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Lizhou Liu , Jiaqi An , Yafei Ren , Yingtao Zhang , Zhenhua Qiao , Qian Niu

Topological insulators are solid state systems of independent electrons for which the Fermi level lies in a mobility gap, but the Fermi projection is nevertheless topologically non-trivial, namely it cannot be deformed into that of a normal…

Mathematical Physics · Physics 2016-10-27 Hermann Schulz-Baldes

Disorder, ubiquitously present in solids, is normally detrimental to the stability of ordered states of matter. In this letter we demonstrate that not only is the physics of a strong topological insulator robust to disorder but, remarkably,…

Mesoscale and Nanoscale Physics · Physics 2010-12-03 H. -M. Guo , G. Rosenberg , G. Refael , M. Franz

The recent discovery of topological insulator (TI) offers new opportunities for the development of thermoelectrics, because many TIs (like Bi$_2$Te$_3$) are excellent thermoelectric (TE) materials. In this review, we will first describe the…

Materials Science · Physics 2016-10-26 Yong Xu

We show how the snowflake phononic crystal structure, which has been realized experimentally recently, can be turned into a topological insulator for sound waves. This idea, based purely on simple geometrical modifications, could be readily…

Mesoscale and Nanoscale Physics · Physics 2018-01-31 Christian Brendel , Vittorio Peano , Oskar Painter , Florian Marquardt

The recent discovery of topological insulators with exotic metallic surface states has garnered great interest in the fields of condensed matter physics and materials science. A number of spectacular quantum phenomena have been predicted…

Materials Science · Physics 2011-01-07 Wanxiang Feng , Jun Ding , Di Xiao , Yugui Yao

In the quest for topological insulators with large band gaps, heterostructures with Rashba spin-orbit interactions come into play. Transition metal oxides with heavy ions are especially interesting in this respect. We discuss the design…

Mesoscale and Nanoscale Physics · Physics 2020-11-17 Pieter M. Gunnink , Rosa Luca Bouwmeester , Alexander Brinkman

We report on a temperature-induced transition from a conventional semiconductor to a two-dimensional topological insulator investigated by means of magnetotransport experiments on HgTe/CdTe quantum well structures. At low temperatures, we…

We study surface plasmons localized on interfaces between topologically trivial and topologically non-trivial time reversal invariant materials in three dimensions. For the interface between a metal and a topological insulator the magnetic…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Andreas Karch

Topological insulators are transformative quantum solids with immune-to-disorder metallic surface states having Dirac band structure. Ubiquitous charged bulk defects, however, pull the Fermi energy into the bulk bands, denying access to…

The electronic bands are classified according to their topology. We compute the connection and curvature for the electronic bands and show that the physical properties are determined by topological invariants which are equivalent to the…

Mesoscale and Nanoscale Physics · Physics 2016-10-25 D. Schmeltzer

This paper discusses the topological and transport properties of binary heterostructures of different topological materials. The creation of multilayer devices is an alternative to building synthetic topological materials. By adjusting the…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 R. Pineda , W. Herrera

Angle resolved photoemission spectroscopy is used to observe changes in the electronic structure of bulk-doped topological insulator Cu$_x$Bi$_2$Se$_3$ as additional copper atoms are deposited onto the cleaved crystal surface. Carrier…

Superconductivity · Physics 2015-06-16 L. A. Wray , S. Xu , M. Neupane , A. V. Fedorov , Y. S. Hor , R. J. Cava , M. Z. Hasan

We investigate a topological switch between second-order topological insulators (SOTIs) and topological crystalline insulators (TCIs). Both the SOTI and the TCI are protected by the mirror and inversion symmetries, for which we define the…

Mesoscale and Nanoscale Physics · Physics 2018-09-19 Motohiko Ezawa

We consider topological invariants describing semimetal (gapless) and insulating (gapped) states of the quantum vacuum of Standard Model and possible quantum phase transitions between these states.

High Energy Physics - Phenomenology · Physics 2014-11-20 G. E. Volovik

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

Topological phase transition in a single material usually refers to transitions between a trivial band insulator and a topological Dirac phase, but the transition may also occur between different classes of topological Dirac phases.…

Materials Science · Physics 2018-06-13 Hui-Xiong Deng , Zhi-Gang Song , Shu-Shen Li , Su-Huai Wei , Jun-Wei Luo

The surface of a 3D topological insulator is described by a helical electron state with the electron's spin and momentum locked together. We show that in the presence of ferromagnetic fluctuations the surface of a topological insulator is…

Strongly Correlated Electrons · Physics 2016-08-16 Mehdi Kargarian , Dmitry K. Efimkin , Victor Galitski

A second-order topological insulator in $d$ dimensions is an insulator which has no $d-1$ dimensional topological boundary states but has $d-2$ dimensional topological boundary states. It is an extended notion of the conventional…

Mesoscale and Nanoscale Physics · Physics 2018-01-16 Motohiko Ezawa

The nature of a metal-insulator transition tuned by external gates in quantum Hall (QH) systems with point constrictions, as reported in recent experiments of Roddaro et al [1], is examined. We attribute this phenomenon to a splitting of…

Strongly Correlated Electrons · Physics 2009-11-11 Emiliano Papa , Tilo Stroh