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In recent years, second-order topological insulators have been proposed as a new class of topological insulators. Second-order topological insulators are materials with gapped bulk and surfaces, but with topologically protected gapless…

Mesoscale and Nanoscale Physics · Physics 2020-03-31 Yutaro Tanaka , Ryo Takahashi , Shuichi Murakami

Occurrence of topological Anderson insulator (TAI) in HgTe quantum well suggests that when time-reversal symmetry (TRS) is maintained, the pertinent topological phase transition, marked by re-entrant $2e^2/h$ quantized conductance…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Ying Su , Y. Avishai , X. R. Wang

Energy dispersion and spin orientation of the protected states at interfaces between topological insulators (TIs) and non-topological materials depend on the charge redistribution, strain, and atomic displacement at the interface. Knowledge…

Mesoscale and Nanoscale Physics · Physics 2020-09-29 Eklavya Thareja , Ilya Vekhter , Mahmoud M. Asmar

Gapless surface states that are protected by time reversal symmetry and charge conservation are among the manifestations of 3D topological insulators. In this work we study how electron-electron interaction may lead to spontaneous breaking…

Strongly Correlated Electrons · Physics 2012-06-07 Yuval Baum , Ady Stern

Topologically protected gapless edge/surface states are phases of quantum matter which behave as massless Dirac fermions, immunizing against disorders and continuous perturbations. Recently, a new class of topological insulators (TIs) with…

Materials Science · Physics 2020-09-30 Baizhan Xia , Shengjie Zheng , Liang Tong , Junrui Jiao , Guiju Duan , Dejie Yu

Copropagation of antichiral edge states in the metallic phase requires the bulk states as counterpropagating modes. Without the band gap protection, the copropagation along the boundaries is easily scattered into the bulk and the…

Mesoscale and Nanoscale Physics · Physics 2025-04-25 Liangcai Xie , Tianyi He , Liang Jin

Spin-momentum-locked edge states of quantum spin Hall insulators (QSHIs) provide a compelling platform for spintronic applications, owing to their intrinsic protection against backscattering from non-magnetic disorder. This protection…

The topological insulators have a gap in the bulk but extended states at the edge that can carry current. We study a geometry in which such edge states will manifest themselves through periodic oscillations in the magnetoconductance of a…

Mesoscale and Nanoscale Physics · Physics 2009-09-19 Rui-Lin Chu , Jian Li , J. K. Jain , Shun-Qing Shen

Topological insulators materialize a topological quantum state of matter where unusual gapless metallic state protected by time-reversal symmetry appears at the edge or surface. Their discovery stimulated the search for new topological…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Y. Tanaka , Zhi Ren , T. Sato , K. Nakayama , S. Souma , T. Takahashi , Kouji Segawa , Yoichi Ando

We provide evidence that, alongside topologically protected edge states, two-dimensional Chern insulators also support localised bulk states deep in their valance and conduction bands. These states manifest when local potential gradients…

Mesoscale and Nanoscale Physics · Physics 2020-07-24 Chris N. Self , Alvaro Rubio-García , Juan Jose García-Ripoll , Jiannis K. Pachos

A wide class of materials that were discovered to carry a topologically protected phase order has led to a highly active area of research called topological insulators. This phenomenon has radically changed our thinking because of their…

Materials Science · Physics 2014-10-21 Cui-Zu Chang , Peng Wei , Jagadeesh. S. Moodera

Topological insulators, along with Chern insulators and Quantum Hall insulator phases, are considered as paradigms for symmetry protected topological phases of matter. This article reports the experimental realization of the time-reversal…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 Priya Tiwari , Saurabh Kumar Srivastav , Sujay Ray , Tanmoy Das , Aveek Bid

Waveguides and resonators are core components in the large-scale integration of electronics, photonics, and phononics, both in existing and future scenarios. In certain situations, there is critical coupling of the two components; i.e., no…

Mesoscale and Nanoscale Physics · Physics 2026-04-29 Si-Yuan Yu , Cheng He , Xiao-Chen Sun , Hong-Fei Wang , Ji-Qian Wang , Zi-Dong Zhang , Bi-Ye Xie , Yuan Tian , Ming-Hui Lu , Yan-Feng Chen

Topologically protected edge states are the highlight feature of an interface between non-equivalent insulators. The robustness/sensitivity of these states to local single-particle perturbations is well understood, while their stability in…

Strongly Correlated Electrons · Physics 2025-03-18 Jan Skolimowski , Wojciech Brzezicki

Chiral edge state (CES) at zero magnetic field has already been realized in the magnetically doped topological insulator (TI). However, this scheme strongly relies on material breakthroughs, and in fact, most of the TIs cannot be driven…

Strongly Correlated Electrons · Physics 2019-02-13 Xi-Rong Chen , Wei Chen , L. B. Shao , D. Y. Xing

Using the non-equilibrium Keldysh Green's function formalism, we investigate the effect of defects on the electronic structure and transport properties of two-dimensional topological insulators (TI). We demonstrate how the spatial flow of…

Mesoscale and Nanoscale Physics · Physics 2017-02-08 John S. Van Dyke , Dirk K. Morr

The theory of topological insulators and superconductors has mostly focused on non-interacting and gapped systems. This review article discusses topological phases that are either gapless or interacting. We discuss recent progress in…

Strongly Correlated Electrons · Physics 2013-01-04 Ari M. Turner , Ashvin Vishwanath

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

Motivated by recent photoemission experiments on the surface of topological insulators we compute the spectrum of driven topological surface excitations in the presence of an external light source. We completely characterize the spectral…

Strongly Correlated Electrons · Physics 2013-10-30 Benjamin M. Fregoso , Y. H. Wang , N. Gedik , Victor Galitski

Spin-orbit coupled materials have attracted revived prominent research interest as of late, especially due their direct connection with topological notions. Arguably, a hallmark of this pursuit is formed by the concept of the topological…

Mesoscale and Nanoscale Physics · Physics 2019-07-29 Robert-Jan Slager
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