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Topological insulators (TIs) are a new quantum state of matter discovered recently, which are characterized by unconventional bulk topological invariants. Proposals for practical applications of the TIs are mostly based upon their metallic…

介观与纳米尺度物理 · 物理学 2016-01-15 M. N. Chen , L. Sheng , R. Shen , D. N. Sheng , D. Y. Xing

Certain band insulators allow for the adiabatic pumping of quantized charge or spin for special time-dependences of the Hamiltonian. These "topological pumps" are closely related to two dimensional topological insulating phases of matter…

介观与纳米尺度物理 · 物理学 2013-07-31 Dganit Meidan , Tobias Micklitz , Piet W. Brouwer

The surface states of intrinsic higher order topological phases are protected by the spatial symmetries of a finite sample. This property makes the existing scattering theory of topological invariants inapplicable because the scattering…

介观与纳米尺度物理 · 物理学 2025-08-27 R. Johanna Zijderveld , Isidora Araya Day , Anton R. Akhmerov

The topological invariant of a topological insulator (or superconductor) is given by the number of symmetry-protected edge states present at the Fermi level. Despite this fact, established expressions for the topological invariant require…

介观与纳米尺度物理 · 物理学 2013-01-11 I. C. Fulga , F. Hassler , A. R. Akhmerov

Topological insulators (TIs) exhibit many exotic properties. In particular, a topological magneto-electric (TME) effect, quantized in units of the fine structure constant, exists in TIs. In this Letter, we study theoretically the scattering…

材料科学 · 物理学 2016-05-10 Lixin Ge , Tianrong Zhan , Dezhuan Han , Xiaohan Liu , Jian Zi

Introduced by David Thouless in 1983, Thouless pumping exemplifies topological properties in topological systems, where the transported charge is quantized by the Chern number. Recently, returning Thouless pumping was theoretically…

介观与纳米尺度物理 · 物理学 2025-05-13 Zheyu Cheng , Sijie Yue , Yang Long , Wentao Xie , Zixuan Yu , Hau Tian Teo , Y. X. Zhao , Haoran Xue , Baile Zhang

Following the centuries old concept of the quantization of flux through a Gaussian curvature (Euler characteristic) and its successive dispersal into various condensed matter properties such as quantum Hall effect, and topological…

介观与纳米尺度物理 · 物理学 2018-10-23 Tanmoy Das

We show that scattering from the boundary of static, higher-order topological insulators (HOTIs) can be used to simulate the behavior of (time-periodic) Floquet topological insulators. We consider D-dimensional HOTIs with gapless corner…

介观与纳米尺度物理 · 物理学 2021-06-30 Selma Franca , Fabian Hassler , Ion Cosma Fulga

A general partial-wave multiple scattering theory for scattering from cylindrically symmetric potentials on a topological insulator (TI) surface is developed. As an application, the cross sections for a single scatterer and two scatterers…

介观与纳米尺度物理 · 物理学 2011-12-09 Zhen-Guo Fu , Ping Zhang , Zhigang Wang , Shu-Shen Li

Topological crystalline insulators (TCI) are insulating electronic phases of matter with nontrivial topology originating from crystalline symmetries. Recent theoretical advances have provided powerful guidelines to search for TCIs in real…

This paper develops a scattering theory for the asymmetric transport observed at interfaces separating two-dimensional topological insulators. Starting from the spectral decomposition of an unperturbed interface Hamiltonian, we present a…

谱理论 · 数学 2025-08-13 Binglu Chen , Guillaume Bal

The electromagnetic scattering properties of topological insulator (TI) spheres are systematically studied in this paper. Unconventional backward scattering caused by the topological magneto-electric (TME) effect of TIs are found in both…

光学 · 物理学 2017-03-16 Lixin Ge , Dezhuan Han , Jian Zi

Topological insulators are typically characterized by particularly stable properties, such as global invariants, and can be identified by probing their robust surface states. A recently discovered novel form of band topology, delicate…

Similar to static systems, periodically driven systems can host a variety of topologically non-trivial phases. Unlike the case of static Hamiltonians, the topological indices of bulk Floquet bands may fail to describe the presence and…

介观与纳米尺度物理 · 物理学 2016-02-03 I. C. Fulga , M. Maksymenko

We study the characteristics of scattering processes at step edges on the surfaces of Strong Topological Insulators (STI), arising from restrictions imposed on the $S$-matrix \emph{solely} by time reversal symmetry and translational…

介观与纳米尺度物理 · 物理学 2015-03-13 Rudro R. Biswas , Alexander V. Balatsky

Topological crystalline insulators (TCIs) can exhibit unique, quantized electric phenomena such as fractional electric polarization and boundary-localized fractional charge. This quantized fractional charge is the generic observable for…

介观与纳米尺度物理 · 物理学 2020-04-29 Christopher W. Peterson , Tianhe Li , Wentao Jiang , Taylor L. Hughes , Gaurav Bahl

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…

Topological Insulators (TIs) exhibit exciting optical properties, which opens up a new pathway to generate ultrashort pulses from fiber lasers. Layered TIs display distinct saturable absorption property due to excited state absorption, as…

材料科学 · 物理学 2021-05-20 Shyamal Mondal , Rounak Ganguly , Krishnakanta Mondal

Two-dimensional (2D) topological insulators (TIs), a new state of quantum matter, are promising for achieving the low-power-consuming electronic devices owning to the remarkable robustness of their conducting edge states against…

材料科学 · 物理学 2016-11-15 Yandong Ma , Liangzhi Kou , Ying Dai , Thomas Heine

Topological insulators (TIs) present a neoteric class of materials, which support delocalised, conducting surface states despite an insulating bulk. Due to their intriguing electronic properties, their optical properties have received…

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