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In the context of topological insulators, the shallow-water model was recently shown to exhibit an anomalous bulk-edge correspondence. For the model with a boundary, the parameter space involves both longitudinal momentum and boundary…

Mathematical Physics · Physics 2023-03-01 Clément Tauber , Guo Chuan Thiang

In this review, we discuss recent progress in the explorations of topological materials beyond topological insulators; specifically, we focus on topological crystalline insulators and bulk topological superconductors. The basic concepts,…

Materials Science · Physics 2016-01-12 Yoichi Ando , Liang Fu

In this Letter we present scanning tunneling microscopy density-of-states measurements and electronic structure calculations of the topological insulator Bi2Se3. The measurements show significant background states in addition to the…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Megan Romanowich , Mal-Soon Lee , Duck-Young Chung , Jung-Hwan Song , S. D. Mahanti , Mercouri G. Kanatzidis , Stuart H. Tessmer

We demonstrate that the terahertz/infrared radiation induced photogalvanic effect, which is sensitive to the surface symmetry and scattering details, can be applied to study the high frequency conductivity of the surface states in…

Electron scattering in the topological surface state (TSS) of the bulk-insulating topological insulator Bi$_{1.5}$Sb$_{0.5}$Te$_{1.7}$Se$_{1.3}$ was studied using quasiparticle interference observed by scanning tunneling microscopy. It was…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Sunghun Kim , Shunsuke Yoshizawa , Yukiaki Ishida , Kazuma Eto , Kouji Segawa , Yoichi Ando , Shik Shin , Fumio Komori

The bulk-edge correspondence links the Chern-topological numbers with the net number of unidirectional states supported at an interface of the relevant materials. This fundamental principle is perhaps the most consequential result of…

Optics · Physics 2019-03-06 Mario G. Silveirinha

Several small-bandgap semiconductors are now known to have protected metallic surface states as a consequence of the topology of the bulk electron wavefunctions. The known "topological insulators" with this behavior include the important…

Mesoscale and Nanoscale Physics · Physics 2013-01-01 Pouyan Ghaemi , Roger Mong , Joel E. Moore

The bulk-surface wave pinning model is a reaction-diffusion system for studying cell polarisation. It is constituted by a surface reaction-diffusion equation, coupled to a bulk diffusion equation with a non-linear boundary condition. Cell…

Biological Physics · Physics 2022-11-01 Davide Cusseddu , Anotida Madzvamuse

We used low-energy, momentum-resolved inelastic electron scattering to study surface collective modes of the three-dimensional topological insulators Bi$_2$Se$_3$ and Bi$_{0.5}$Sb$_{1.5}$Te$_{3-x}$Se$_{x}$. Our goal was to identify the…

In integrating topological insulators (TIs) with conventional materials, one crucial issue is how the topological surface states (TSS) will behave in such heterostructures. We use first-principles approaches to establish accurate tunability…

Materials Science · Physics 2013-01-23 Guangfen Wu , Hua Chen , Yan Sun , Xiaoguang Li , Ping Cui , Cesare Franchini , Jinlan Wang , Xing-Qiu Chen , Zhenyu Zhang

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

A self-consistent model is developed for the surface and bulk states of thin Y_{1-y}Ca_yBa_2Cu_3O_{7-\delta} (YCBCO) films. The dispersions of the chain and plane layers are modelled by tight-binding bands, and the electronic structure is…

Superconductivity · Physics 2010-04-02 K. Pasanai , W. A. Atkinson

Topological insulators (TI) are materials having an energy band gap in the bulk and conducting helical electronic states on the surface. The helical states are protected by time reversal symmetry thus are expected to be robust against…

Mesoscale and Nanoscale Physics · Physics 2012-11-26 Xue-Feng Wang , Yibin Hu , Hong Guo

Raman scattering [K. M. F. Shahil et al., Appl. Phys. Lett. 96, 153103 (2010), V. Gnezdilov et al., Phys. Rev. B 84, 195118 (2011) and H. H. Kung et al., Phys. Rev. B 95, 245406 (2017)], inelastic helium scattering [X. Zhu et al., Phys.…

Topological insulators with the time reversal symmetry broken exhibit strong magnetoelectric and magneto-optic effects. While these effects are well-understood in or near equilibrium, nonequilibrium physics is richer yet less explored. We…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 M. F. Maghrebi , A. V. Gorshkov , J. D. Sau

The recent discovery of topological insulator (TI) offers new opportunities for the development of thermoelectrics, because many TIs (like Bi$_2$Te$_3$) are excellent thermoelectric (TE) materials. In this review, we will first describe the…

Materials Science · Physics 2016-10-26 Yong Xu

The proximity effect at the interface between a topological insulator (TI) and a superconductor is predicted to give rise to chiral topological superconductivity and Majorana fermion excitations. In most TIs studied to date, however, the…

In the flurry of experiments looking for topological insulator materials, it has been recently discovered that some bulk metals very close to topological insulator electronic states, support the same topological surface states that are the…

Disordered Systems and Neural Networks · Physics 2011-10-20 Doron L. Bergman , Gil Refael

We present a combined experimental and theoretical study of the surface vibrational modes of the topological insulator (TI) Bi$_2$Se$_3$ with particular emphasis on the low-energy region below 10 meV that has been difficult to resolve…

Weak antilocalization measurements has become a standard tool for studying quantum coherent transport in topological materials. It is often used to extract information about number of conducting channels and dephasing length of topological…

Mesoscale and Nanoscale Physics · Physics 2018-12-21 K. Dybko , G. P. Mazur , W. Wolkanowicz , M. Szot , P. Dziawa , J. Z. Domagala , M. Wiater , T. Wojtowicz , G. Grabecki , T. Story