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Edge states in topological insulators (TIs) disperse symmetrically about one of the time-reversal invariant momenta $\Lambda$ in the Brillouin zone (BZ) with protected degeneracies at $\Lambda$. Commonly TIs are distinguished from trivial…

Mesoscale and Nanoscale Physics · Physics 2017-07-05 H. Deshpande , R. Winkler

We present a theoretical investigation of electron states hosted by magnetic domain walls on the 3D topological insulator surface. The consideration includes the domain walls with distinct vectorial and spatial textures. The study is…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 I. P. Rusinov , V. N. Men'shov , E. V. Chulkov

Elastic strain has the potential for a controlled manipulation of the band gap and spin-polarized Dirac states of topological materials, which can lead to pseudo-magnetic-field effects, helical flat bands and topological phase transitions.…

Floating edge bands (FEB) have been identified in systems such as obstructed atomic insulators and layered nonsymmorphic semimetals, attracting considerable interest recently. Here we demonstrate that FEB can arise in a simplified model…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Yang-Yang Li , Song-Bo Zhang

An important characteristic of topological band insulators is the necessary presence of in-gap edge states on the sample boundary. We utilize this fact to show that when the boundary is reconnected with a twist, there are always zero-energy…

Strongly Correlated Electrons · Physics 2009-11-13 Dung-Hai Lee , Guang-Ming Zhang , Tao Xiang

We study a $\nu=1$ topological system with one twisting edge-state band and one normal edge-state band. For the twisting edge-state band, Fermi energy goes through the band three times, thus, having three edge states on one side of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Xuele Liu , Qing-feng Sun , X. C. Xie

In this work we investigate novel spherical core-shell nanoparticles with band inversion. The core and the embedding medium are normal semiconductors while the shell material is assumed to be a topological insulator. The envelope functions…

Mesoscale and Nanoscale Physics · Physics 2021-11-24 Carolina Martínez-Strasser , Yuriko Baba , Álvaro Díaz-Fernández , Francisco Domínguez-Adame

We show that the bulk-boundary correspondence for topological insulators can be modified in the presence of non-Hermiticity. We consider a one-dimensional tight-binding model with gain and loss as well as long-range hopping. The system is…

Quantum Physics · Physics 2016-04-04 Tony E. Lee

We report direct imaging of standing waves of the nontrivial surface states of topological insulator Bi$_2$Te$_3$ by using a low temperature scanning tunneling microscope. The interference fringes are caused by the scattering of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Tong Zhang , Peng Cheng , Xi Chen , Jin-Feng Jia , Xucun Ma , Ke He , Lili Wang , Haijun Zhang , Xi Dai , Zhong Fang , Xincheng Xie , Qi-Kun Xue

The low energy sector of 2D and 3D topological insulators (TIs) exhibits propagating edge states, which has speculated the existence of equilibrium edge currents or edge spin currents. We demonstrate that if the low energy sector of TIs is…

Mesoscale and Nanoscale Physics · Physics 2020-05-14 Wei Chen

Interfaces between exfoliated topological insulator Bi2Se3 and several transition metals deposited by sputtering were studied by XPS, SIMS, UPS and contact I-V measurements. Chemically clean interfaces can be achieved when coating Bi2Se3…

Mesoscale and Nanoscale Physics · Physics 2015-11-12 Weiguang Ye , A. B. Pakhomov , Shuigang Xu , Huanhuan Lu , Zefei Wu , Yu Han , Tianyi Han , Yingying Wu , Gen Long , Jiangxiazi Lin , Gu Xu , Yuan Cai , Lu-Tao Weng , Ning Wang

Topological insulators (TIs) and graphene present two unique classes of materials which are characterized by spin polarized (helical) and non-polarized Dirac-cone band structures, respectively. The importance of many-body interactions that…

Topological insulators represent a new state of matter where the topological nature of the bulk bands dictates the existence of a surface state with unique properties. These materials are predicted to host exotic states such as Majorana…

Materials Science · Physics 2012-05-29 Yoshinori Okada , Wenwen Zhou , Chetan. Dhital , D. Walkup , Ying Ran , Z. Wang , Stephen D. Wilson , V. Madhavan

We investigate the spin and charge densities of surface states of the three-dimensional topological insulator $Bi_2Se_3$, starting from the continuum description of the material [Zhang {\em et al.}, Nat. Phys. 5, 438 (2009)]. The spin…

Mesoscale and Nanoscale Physics · Physics 2012-09-04 P. G. Silvestrov , P. W. Brouwer , E. G. Mishchenko

We propose and analyze a physical system that naturally admits two-dimensional topological nearly flat bands. Our approach utilizes an array of three-level dipoles (effective S = 1 spins) driven by inhomogeneous electromagnetic fields. The…

Strongly Correlated Electrons · Physics 2013-11-28 Norman Y. Yao , Chris R. Laumann , Alexey V. Gorshkov , Steven D. Bennett , Eugene Demler , Peter Zoller , Mikhail D. Lukin

We consider the stability of fragile topological bands protected by space-time inversion symmetry in the presence of strong electron-electron interactions. At the single-particle level, the topological nature of the bands prevents the…

Strongly Correlated Electrons · Physics 2022-02-21 Ari M. Turner , Erez Berg , Ady Stern

The topological insulator Bi2Se3 shows a Raman scattering response related to topologically protected surface states amplified by a resonant interband transition. Most significantly this signal has a characteristic Lorentzian lineshape and…

Strongly Correlated Electrons · Physics 2015-05-30 V. Gnezdilov , Yu. G. Pashkevich , H. Berger , E. Pomjakushina , K. Conder , P. Lemmens

We consider a magnetic skyrmion crystal formed at the surface of a topological insulator. Incorporating the exchange interaction between the helical Dirac surface states and the periodic N\'eel or Bloch skyrmion texture, we obtain the…

Mesoscale and Nanoscale Physics · Physics 2022-02-15 Stefan Divic , Henry Ling , T. Pereg-Barnea , Arun Paramekanti

Time-periodic perturbations can be used to engineer topological properties of matter by altering the Floquet band structure. This is demonstrated for a spin Hall insulator in the presence of monochromatic circularly polarized light. The…

Mesoscale and Nanoscale Physics · Physics 2012-02-02 Balázs Dóra , Jérôme Cayssol , Ferenc Simon , Roderich Moessner

Topological media are systems whose properties are protected by topology and thus are robust to deformations of the system. In topological insulators and superconductors the bulk-surface and bulk-vortex correspondence gives rise to the…

Strongly Correlated Electrons · Physics 2015-05-20 T. T. Heikkila , N. B. Kopnin , G. E. Volovik
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