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2D topological insulators promise novel approaches towards electronic, spintronic, and quantum device applications. This is owing to unique features of their electronic band structure, in which bulk-boundary correspondences enforces the…

A long-standing problem in the study of topological phases of matter has been to understand the types of fractional topological insulator (FTI) phases possible in 3+1 dimensions. Unlike ordinary topological insulators of free fermions, FTI…

Strongly Correlated Electrons · Physics 2023-02-28 Benjamin Moy , Hart Goldman , Ramanjit Sohal , Eduardo Fradkin

In this work, we predict the emergence of a quantum spin Hall insulator (QSHI) in conventional semiconductors, specifically InAs quantum wells, driven by a built-in polarization field. We propose QSHI InAs quantum wells as a platform to…

Materials Science · Physics 2025-01-07 Chenhao Liang , Sheng Zhang , Haohao Sheng , Quansheng Wu , Hongming Weng , Zhong Fang , Zhijun Wang

The electric field induced quantum phase transition from topological to conventional insulator has been proposed as the basis of a topological field effect transistor [1-4]. In this scheme an electric field can switch 'on' the ballistic…

Topological edge solitons propagating along the edge of a photonic topological insulator are localized self-sustained hybrid states that are immune to de-fects/disorders due to protection of the edge states stemming from nontrivial topology…

Spin-momentum helical locking is one of the most important properties of the nontrivial topological surface states (TSS) in 3D topological insulators (TI). It underlies the iconic topological protection (suppressing elastic backscattering)…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Jifa Tian , Isaac Childres , Helin Cao , Shen Tian , Ireneusz Miotkowski , Yong P. Chen

This study presents an approach that leverages the existing knowledge acquired in one-dimensional BDI class discrete metamaterials, such as mass-spring systems or acoustic resonators, and exploits it to realize fully continuous elastic…

Applied Physics · Physics 2026-02-27 Mohit Kumar , Fabio Semperlotti

Topological crystalline insulators (TCIs) host topological phases of matter protected by crystal symmetries. Topological surface states in three-dimensional TCIs have been predicted and observed in IV-VI SnTe-class semiconductors. Despite…

Mesoscale and Nanoscale Physics · Physics 2026-01-30 Liwei Jing , Mohammad Amini , Adolfo O. Fumega , Orlando J. Silveira , Jose L. Lado , Peter Liljeroth , Shawulienu Kezilebieke

The quantum spin Hall effect has been predicted in twisted homobilayer transition metal dichalcogenides (TMDs) owing to the layer-pseudospin magnetic field. Recently, experimental observations have also confirmed such topological states of…

Mesoscale and Nanoscale Physics · Physics 2025-08-08 Hao He , Zhao Gong , Qing-Jun Tong , Dawei Zhai , Wang Yao , Xing-Tao An

For two-dimensional topological insulators, the integer and intrinsic (without external magnetic field) quantum Hall effect is described by the gauge anomalous (2+1)-dimensional [2+1d] Chern-Simons (CS) response for the background gauge…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 J. Nissinen , G. E. Volovik

The surface of a topological insulator is a closed two dimensional manifold. The surface states are described by the Dirac Hamiltonian in curved two dimensional spaces. For a slab-like sample with a magnetic field perpendicular to its top…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Dung-Hai Lee

The three-dimensional topological insulator (originally called "topological insulators") is the first example in nature of a topologically ordered electronic phase existing in three dimensions that cannot be reduced to multiple copies of…

Mesoscale and Nanoscale Physics · Physics 2011-05-03 M. Zahid Hasan , David Hsieh , Yuqi Xia , L. Andrew Wray , Su-Yang Xu , Charles L. Kane

The thermoelectric response of HgTe quantum wells in the state of two-dimensional topological insulator (2D TI) has been studied experimentally. Ambipolar thermopower, typical for an electron-hole system, has been observed across the charge…

Mesoscale and Nanoscale Physics · Physics 2018-12-24 G. M. Gusev , O. E. Raichev , E. B. Olshanetsky , A. D. Levin , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky

Nanostructures, such a quantum dots or nanoparticles, made of three-dimensional topological insulators (3DTIs) have been recently attracting increasing interest, especially for their optical properties. In this paper we calculate the energy…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Michele Governale , Fabio Taddei

A Kramers pair of helical edge states in quantum spin Hall effect (QSHE) is robust against normal dephasing but not robust to spin dephasing. In our work, we provide an effective spin dephasing mechanism in the puddles of two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2019-03-07 Junjie Qi , Haiwen Liu , Hua Jiang , X. C. Xie

Incorporating ferromagnetic dopants, such as chromium or vanadium, into thin films of the three-dimensional (3D) topological insulator (TI) (Bi,Sb)2Te3 has recently led to the realisation of the quantum anomalous Hall effect (QAHE), a…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 A. C. Mahoney , J. I. Colless , L. Peeters , S. J. Pauka , E. J. Fox , X. Kou , Lei Pan , K. L. Wang , D. Goldhaber-Gordon , D. J. Reilly

To understand the seemingly absent temperature dependence in the conductance of two-dimensional topological insulator edge states, we perform a numerical study which identifies the quantitative influence of the combined effect of dephasing…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Sven Essert , Viktor Krueckl , Klaus Richter

Topological phononic insulators are the counterpart of three-dimensional quantum spin Hall insulators in phononic systems and, as such, their topological surfaces are characterized by Dirac cone-shaped gapless edge states arising as a…

Superconductivity · Physics 2022-08-17 Daniele Di Miceli , Chandan Setty , Alessio Zaccone

Current understanding of higher-order topological insulators (HOTIs) is based primarily on crystalline materials. Here, we propose that HOTIs can be realized in quasicrystals. Specifically, we show that two distinct types of second-order…

Mesoscale and Nanoscale Physics · Physics 2020-01-24 Rui Chen , Chui-Zhen Chen , Jin-Hua Gao , Bin Zhou , Dong-Hui Xu

Topologically protected surface modes of classical waves hold the promise to enable a variety of applications ranging from robust transport of energy to reliable information processing networks. The integer quantum Hall effect has delivered…

Mesoscale and Nanoscale Physics · Physics 2020-08-25 Weiyin Deng , Xueqin Huang , Jiuyang Lu , Valerio Peri , Feng Li , Sebastian D. Huber , Zhengyou Liu