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When the material phases exhibit topological quantum numbers, they host defects protected by the nontrivial topology. Magnetic skyrmions are such ``quantized" objects and although many of them are metals they had been most likely treated in…

Strongly Correlated Electrons · Physics 2024-05-10 Ryo Makuta , Chisa Hotta

We investigate the spin transport properties of a topological magnon insulator, a magnetic insulator characterized by topologically nontrivial bulk magnon bands and protected magnon edge modes located in the bulk band gaps. Employing the…

Mesoscale and Nanoscale Physics · Physics 2018-02-21 Andreas Rückriegel , Arne Brataas , Rembert A. Duine

The opening of a band gap due to compressive uniaxial strain renders bulk HgTe a strong three-dimensional topological insulators with protected gapless surface states at any surface. By employing a six-band k.p model, we determine the spin…

Mesoscale and Nanoscale Physics · Physics 2017-01-05 Frank Kirtschig , Jeroen van den Brink , Carmine Ortix

We study the effect of the Rashba spin-orbit coupling on the Fermi arcs of topological Dirac semimetals. The Rashba coupling is induced by breaking the inversion symmetry at the surface. Remarkably, this coupling could be enhanced by the…

Mesoscale and Nanoscale Physics · Physics 2021-02-12 Yuriko Baba , Francisco Domínguez-Adame , Gloria Platero , Rafael A. Molina

The effect of surface disorder on electronic systems is particularly interesting for topological phases with surface and edge states. Using exact diagonalization, it has been demonstrated that the surface states of a 3D topological…

Disordered Systems and Neural Networks · Physics 2015-08-12 Kun Woo Kim , Roger S. K. Mong , Marcel Franz , Gil Refael

We study theoretically the role of quenched magnetic disorder at the surface of a topological insulator by numerical simulation and scaling analysis. It is found that all the surface states are localized while the transverse conductivity is…

Mesoscale and Nanoscale Physics · Physics 2011-04-19 Kentaro Nomura , Naoto Nagaosa

The mathematical field of topology has become a framework to describe the low-energy electronic structure of crystalline solids. A typical feature of a bulk insulating three-dimensional topological crystal are conducting two-dimensional…

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…

Topological insulators are guaranteed to support metallic surface states on an insulating bulk, and one should thus expect that the electronic transport in these materials is dominated by the surfaces states. Alas, due to the high remaining…

Bulk and surface state contributions to the electrical resistance of single-crystal samples of the topological Kondo insulator compound SmB6 are investigated as a function of crystal thickness and surface charge density, the latter tuned by…

Strongly Correlated Electrons · Physics 2015-03-06 Paul Syers , Dohun Kim , Michael S. Fuhrer , Johnpierre Paglione

It is generally believed that conductivity platform can only exist in insulator with topological nontrivial bulk occupied states. Such rule exhibits in two dimensional quantum (anomalous) Hall effect, quantum spin Hall effect, and three…

Mesoscale and Nanoscale Physics · Physics 2021-01-06 Zhengchun Zou , Pan Zhou , Rui Tan , Wenqi Li , Zengsheng Ma , Lizhong Sun

We present a theoretical study of the nonlinear magneto-optical shift conductivity in the surface states of the prototypical topological insulator Bi$_2$Se$_3$ under a perpendicular quantizing magnetic field. By describing the electronic…

Mesoscale and Nanoscale Physics · Physics 2026-02-16 Haoyu Li , Kainan Chang , Wang-Kong Tse , Jin Luo Cheng

We apply mean-field theory and Hirsch-Fye quantum Monte Carlo method to study the spin-spin interaction in the bulk of three-dimensional topological insulators. We find that the spin-spin interaction has three different components: the…

Strongly Correlated Electrons · Physics 2014-03-12 Jinhua Sun , Liang Chen , Hai-Qing Lin

In the past few years materials with protected gapless surface (edge) states have risen to the central stage of condensed matter physics. Almost all discussions centered around topological insulators and superconductors, which possess full…

Superconductivity · Physics 2013-10-01 Fa Wang , Dung-Hai Lee

Topological insulators host spin-polarized surface states born out of the energetic inversion of bulk bands driven by the spin-orbit interaction. Here we discover previously unidentified consequences of band-inversion on the surface…

We study low energy collective modes and transport properties of the "helical metal" on the surface of a topological insulator. At low energies, electrical transport and spin dynamics at the surface are exactly related by an operator…

Mesoscale and Nanoscale Physics · Physics 2010-10-19 S. Raghu , Suk Bum Chung , Xiao-Liang Qi , Shou-Cheng Zhang

The spin-orbit interaction affects the electronic structure of solids in various ways. Topological insulators are one example where the spin-orbit interaction leads the bulk bands to have a non-trivial topology, observable as gapless…

Materials Science · Physics 2012-02-15 M. S. Bahramy , B. -J. Yang , R. Arita , N. Nagaosa

Motivated by the transmission of topological surface states through atomic scale steps, we study the transport of gapless Dirac fermions on hyperbolic surfaces. We confirm that, independent of the curvature of the hyperbolae and the…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 Udit Khanna , Saurabh Pradhan , Sumathi Rao

Topological superconductors (TSCs) in superconducting hybrid heterostructures, which integrate superconducting and non-superconducting materials, have been intensely investigated with the hope of discovering exotic non-Abelian anyons for…

Superconductivity · Physics 2026-04-14 Joseph J. Cuozzo , Sayed Ali Akbar Ghorashi , Dale Huber , Wei Pan , François Léonard

This paper demonstrates the existence of topological models with gapped edge states but protected extended bulk states against disorder. Such systems will be labeled as trivial by the current classification of topological insulators. Our…

Disordered Systems and Neural Networks · Physics 2010-11-25 Hadassah Shulman , Emil Prodan
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