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Topological insulators (TIs) represent a novel quantum state of matter, characterized by edge or surface-states, showing up on the topological character of the bulk wave functions. Allowing electrons to move along their surface, but not…

In an ideal 3D topological insulator (TI), the bulk is insulating and the surface conducting due to the existence of metallic states that are localized on the surface; these are the topological surface states. Quaternary Bi-based compounds…

Controlling spin currents in topological insulators (TIs) is crucial for spintronics but challenged by the robustness of their chiral edge states, which impedes the spin manipulation required for devices like spin-field effect transistors…

Mesoscale and Nanoscale Physics · Physics 2025-07-10 Esteban A. Rodríguez-Mena , Matías Berdakin , Luis E. F. Foa Torres

Quantum spin Hall (QSH) insulators exhibit spin-polarized conducting edge states that are topologically protected from backscattering and offer unique opportunities for addressing fundamental science questions and device applications.…

Mesoscale and Nanoscale Physics · Physics 2026-01-14 Rajibul Islam , Rahul Verma , Barun Ghosh , Zahir Muhammad , Arun Bansil , Carmine Autieri , Bahadur Singh

Transition metal dichalcogenides (TMDs) are a class of widely studied 2D layered materials which exist in various polymorphs. The 1T' phase of MoTe2 is of prime importance as it has been reported to show quantum spin hall (QSH) behavior…

Strongly Correlated Electrons · Physics 2021-07-06 Suvodeep Paul , Saheb Karak , Manasi Mandal , Ankita Ram , Sourav Marik , R. P. Singh , Surajit Saha

We investigate the nonequilibrium topological phases of monolayer 1T$^\prime$--MoS$_2$ under high-frequency circularly polarized driving using a low-energy $k\!\cdot\!p$ Hamiltonian combined with a van Vleck expansion. The off-resonant…

Mesoscale and Nanoscale Physics · Physics 2025-11-20 Mohammad Mortezaei Nobahari

Topologically protected gapless edge 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…

Mesoscale and Nanoscale Physics · Physics 2019-08-12 Haiyan Fan , Baizhan Xia , Shengjie Zheng , Liang Tong

Based on the first-principles calculations, we reveal that TlN, a simple binary compound with Wurtzite structure, is a three-dimensional (3D) topological insulator (TI) with effectively negative spin-orbit coupling $\lambda_{eff} < 0$,…

Materials Science · Physics 2015-01-14 Xian-Lei Sheng , Zhijun Wang , Rui Yu , Hongming Weng , Zhong Fang , Xi Dai

A quantum spin Hall (QSH) insulator is a novel two-dimensional quantum state of matter that features quantized Hall conductance in the absence of magnetic field, resulting from topologically protected dissipationless edge states that bridge…

Quantum spin-Hall insulators (QSHIs), i.e., two-dimensional topological insulators (TIs) with a symmetry-protected band inversion, have attracted considerable scientific interest in recent years. In this work, we have computed the…

The studies of topological phases of matter have been extended from condensed matter physics to photonic systems, resulting in fascinating designs of robust photonic devices. Recently, higher-order topological insulators (HOTIs) have been…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Bi-Ye Xie , Guang-Xu Su , Hong-Fei Wang , Hai Su , Xiao-Peng Shen , Peng Zhan , Ming-Hui Lu , Zhen-Lin Wang , Yan-Feng Chen

Based on first-principles calculations and symmetry analysis, we predict atomically thin ($1-N$ layers) 2H group-VIB TMDs $MX_2$ ($M$ = Mo, W; $X$ = S, Se, Te) are large-gap higher-order topological crystalline insulators protected by $C_3$…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 Shifeng Qian , Gui-bin Liu , Cheng-Cheng Liu , Yugui Yao

Two-dimensional (2D) metallic altermagnets present exciting opportunities for both fundamental research and practical innovations. Their ability to enhance tunneling magnetoresistance in magnetic tunnel junctions, combined with the direct…

Mesoscale and Nanoscale Physics · Physics 2026-02-24 Raghottam M. Sattigeri , Xujia Gong , Amar Fakhredine , Carmine Autieri , Giuseppe Cuono

We outline here how strong light-matter interaction can be used to induce quantum phase transition between normal and topological phases in two-dimensional topological insulators. We consider the case of a HgTe quantum well, in which band…

Mesoscale and Nanoscale Physics · Physics 2017-11-17 Mehedi Hasan , Dmitry Yudin , Ivan Iorsh , Olle Eriksson , Ivan Shelykh

The 2D TI edge states are considered within the Volkov-Pankratov (VP) Hamiltonian. A smooth transition between TI and OI is assumed. The edge states are formed in the total gap of homogeneous 2D material. A pair of these states are of…

Mesoscale and Nanoscale Physics · Physics 2021-01-14 M. M. Mahmoodian , M. V. Entin

The hallmark of a time-reversal symmetry protected topologically insulating state of matter in two-dimensions (2D) is the existence of chiral edge modes propagating along the perimeter of the system. To date, evidence for such electronic…

Mesoscale and Nanoscale Physics · Physics 2014-09-22 Ilya K. Drozdov , A. Alexandradinata , Sangjun Jeon , Stevan Nadj-Perge , Huiwen Ji , R. J. Cava , B. A. Bernevig , Ali Yazdani

Two-dimensional (2D) transition metal dichalcogenides (TMDs) such as molybdenum disulfide (MoS2) have been intensively investigated because of their exclusive physical properties for advanced electronics and optoelectronics. In the present…

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

The discovery of topological insulators (TIs), materials with bulk band gaps and protected cross-gap surface states, in compounds such as Bi2Se3 has generated much interest in identifying topological surface states (TSSs) in other classes…

Introducing, observing, and manipulating individual impurities coupled to a host material offers the opportunity to create new device concepts based on single spin and charge states. Because of potential applications in spintronics and…

Mesoscale and Nanoscale Physics · Physics 2016-09-29 Paolo Sessi , Thomas Bathon , Konstantin A. Kokh , Oleg E. Tereshchenko , Matthias Bode