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We address the issue whether it is possible to generate Majorana bound states at the magnetic-superconducting interface in two-dimensional topological insulators with hidden Dirac points in the spectrum. In this case, the Dirac point of…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Ferdinand Schulz , Kirill Plekhanov , Daniel Loss , Jelena Klinovaja

Topological insulators are distinguished from normal insulators by their bulk insulating gap and odd number of surface states connecting the inverted conduction and valence bands and showing Dirac cones at the time-reversal invariant points…

Materials Science · Physics 2015-05-18 Hosub Jin , Jung-Hwan Song , Arthur J. Freeman

Topological insulators are a recently discovered class of materials with fascinating properties: While the inside of the solid is insulating, fundamental symmetry considerations require the surfaces to be metallic. The metallic surface…

Weak topological insulators, constructed by stacking quantum spin Hall insulators with weak interlayer coupling, offer promising quantum electronic applications through topologically nontrivial edge channels. However, the currently…

Topological insulators are most frequently constructed using lattices with specific degeneracies in their linear spectra, such as Dirac points. For a broad class of lattices, such as honeycomb ones, these points and associated Dirac cones…

Optics · Physics 2024-09-09 Hua Zhong , Yaroslav V. Kartashov , Yongdong Li , Ming Li , Yiqi Zhang

By coating a three-dimensional topological insulator (TI) with a ferromagnetic film supporting an in-plane magnetic vortex, one breaks the time-reversal symmetry (TRS) without generating a mass gap. It rather yields electronic states bound…

Mesoscale and Nanoscale Physics · Physics 2016-11-26 Jakson M. Fonseca , Winder A. Moura-Melo , Afranio R. Pereira

A pair of Dirac points (analogous to a vortex-antivortex pair) associated with opposite topological numbers (with $\pm\pi$ Berry phases) can be merged together through parameter tuning and annihilated to gap the Dirac spectrum, offering a…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 Yang Xu , Guodong Jiang , Ireneusz Miotkowski , Rudro R. Biswas , Yong P. Chen

The hallmark of topological crystalline insulators is the emergence of a robust electronic state in a bandgap localized at the boundary of the material. However, end, edge, and surface states can also have a nontopological origin.…

Mesoscale and Nanoscale Physics · Physics 2025-04-01 R. A. M. Ligthart , M. A. J. Herrera , A. Visser , A. Vlasblom , D. Bercioux , I. Swart

Topological photonic systems support edge states that are robust against disorder and perturbation. Depending on the symmetry and dimensionality of the bulk systems, different edge states emulating soliton, quantum integer and quantum spin…

Optics · Physics 2025-12-17 Aidan H. Y. Chong , Y. Q. Liu , C. Liu , Daniel H. C. Ong

We theoretically predict two new classes of three-dimensional topological crystalline insulators (TCIs), which have an odd number of unpinned surface Dirac cones protected by crystal symmetries. The first class is protected by a single…

Mesoscale and Nanoscale Physics · Physics 2015-04-16 Chen Fang , Liang Fu

Existence of a protected surface state described by a massless Dirac equation is a defining property of the topological insulator. Though this statement can be explicitly verified on an idealized flat surface, it remains to be addressed to…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 Yositake Takane , Ken-Ichiro Imura

Surface Dirac cones in three-dimensional topological insulators have generated tremendous and enduring interest for almost two decades owing to hosting a multitude of exotic properties. In this work, we unveil the existence of two types of…

Materials Science · Physics 2024-02-20 Dongling Liu , Xiao-Jiao Wang , Yijie Mo , Zhongbo Yan

We consider a junction between surface $p$-type and surface $n$-type on an ideal topological insulator in which carrier type and density in two adjacent regions are locally controlled by composition graded doping or electrical gating. Such…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Jing Wang , Xi Chen , Bang-Fen Zhu , Shou-Cheng Zhang

The unoccupied states in topological insulators Bi_2Se_3, PbSb_2Te_4, and Pb_2Bi_2Te_2S_3 are studied by the density functional theory methods. It is shown that a surface state with linear dispersion emerges in the inverted conduction band…

Materials Science · Physics 2015-06-15 S. V. Eremeev , I. V. Silkin , T. V. Menshchikova , A. P. Protogenov , E. V. Chulkov

A workable model for describing dislocation lines introduced into a three-dimensional topological insulator is proposed. We show how fragile surface Dirac cones of a weak topological insulator evolve into protected gapless helical modes…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Ken-Ichiro Imura , Yositake Takane , Akihiro Tanaka

Three-dimensional topological insulators have protected Dirac-cone surface states. In this paper we propose magnetic field induced topological insulator thin film ordered states in which coherence is established spontaneously between top…

Strongly Correlated Electrons · Physics 2013-05-29 Dagim Tilahun , Byounghak Lee , E. M. Hankiewicz , A. H. MacDonald

The large spin orbit coupling in topological insulators results in helical spin-textured Dirac surface states that are attractive for topological spintronics. These states generate an efficient spin-orbit torque on proximal magnetic moments…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 Yang Lv , James Kally , Delin Zhang , Joon Sue Lee , Mahdi Jamali , Nitin Samarth , Jian-Ping Wang

Topological crystalline insulators (TCI) are a new class of materials which have metallic surface states on select surfaces due to point group crystalline symmetries. In this letter, we consider a model for a three-dimensional (3D)…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Srinidhi T. Ramamurthy , Yuxuan Wang , Taylor L. Hughes

Recent experiments demonstrating large spin-transfer torques in topological insulator (TI)-ferromagnetic metal (FM) bilayers have generated a great deal of excitement due to their potential applications in spintronics. The source of the…

Mesoscale and Nanoscale Physics · Physics 2017-12-29 Yi-Ting Hsu , Kyungwha Park , Eun-Ah Kim

Hybrid organic/inorganic interfaces have been widely reported to host emergent properties that go beyond those of their single constituents. Coupling molecules to the recently discovered topological insulators, which possess a linearly…

Materials Science · Physics 2016-01-20 Paolo Sessi , Thomas Bathon , Konstantin K. Kokh , Oleg E. Tereshchenko , Matthias Bode
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