Topological insulators, a hot topic in condensed-matter physics

The family of topological phases in condensed matter†

National Science Review ◽

10.1093/nsr/nwt033 ◽

2013 ◽

Vol 1 (1) ◽

pp. 49-59 ◽

Cited By ~ 4

Author(s):

Shun-Qing Shen

Keyword(s):

Topological Insulators ◽

Condensed Matter ◽

Quantum States ◽

Condensed Matter Physics ◽

Topological Phases ◽

Important Advance ◽

Global Properties ◽

The Family ◽

Boundary States ◽

Historic Development

Abstract The discovery of topological insulators and superconductors is an important advance in condensed matter physics. Topological phases reflect global properties of the quantum states in materials, and the boundary states are the characteristic of the materials. Such phases constitute a new branch in condensed matter physics. Here a historic development is briefly introduced, and the known family of phases in condensed matter are summarized.

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Hydrogenated group-IV binary monolayers: a new family of inversion-asymmetric topological insulators

RSC Advances ◽

10.1039/c6ra14140d ◽

2016 ◽

Vol 6 (83) ◽

pp. 79452-79458 ◽

Cited By ~ 1

Author(s):

Shou-juan Zhang ◽

Wei-xiao Ji ◽

Chang-wen Zhang ◽

Sheng-shi Li ◽

Ping Li ◽

...

Keyword(s):

Topological Insulators ◽

Condensed Matter ◽

Group Iv ◽

Spin Splitting ◽

Condensed Matter Physics ◽

New Family ◽

Rashba Spin ◽

Rashba Spin Splitting

Band topology and Rashba spin splitting (RSS) are two extensively explored exotic properties in condensed matter physics.

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Advances in Topological Materials

Crystals ◽

10.3390/cryst11060680 ◽

2021 ◽

Vol 11 (6) ◽

pp. 680

Author(s):

Artem V. Pronin

Keyword(s):

Topological Insulators ◽

Focal Point ◽

Condensed Matter ◽

Condensed Matter Physics ◽

Topological Materials ◽

Nontrivial Topology

Materials with electronic bands that possess nontrivial topology have remained a focal point of condensed matter physics since 2005, when topological insulators were theoretically discovered by Kane and Mele [...]

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Notes on topological insulators

Reviews in Mathematical Physics ◽

10.1142/s0129055x1630003x ◽

2016 ◽

Vol 28 (10) ◽

pp. 1630003 ◽

Cited By ~ 8

Author(s):

Ralph M. Kaufmann ◽

Dan Li ◽

Birgit Wehefritz-Kaufmann

Keyword(s):

Topological Insulators ◽

Condensed Matter ◽

Topological Invariant ◽

Chern Number ◽

Condensed Matter Physics ◽

Index Theorems ◽

Points Of View ◽

K Theory

This paper is a survey of the [Formula: see text]-valued invariant of topological insulators used in condensed matter physics. The [Formula: see text]-valued topological invariant, which was originally called the TKNN invariant in physics, has now been fully understood as the first Chern number. The [Formula: see text] invariant is more mysterious; we will explain its equivalent descriptions from different points of view and provide the relations between them. These invariants provide the classification of topological insulators with different symmetries in which K-theory plays an important role. Moreover, we establish that both invariants are realizations of index theorems which can also be understood in terms of condensed matter physics.

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Inelastic scattering at surfaces and interfaces

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100143560 ◽

1986 ◽

Vol 44 ◽

pp. 392-393

Author(s):

R. H. Ritchie ◽

A. Howie

Keyword(s):

Inelastic Scattering ◽

Surface Properties ◽

Correlation Energy ◽

Condensed Matter ◽

Charged Particles ◽

Condensed Matter Physics ◽

Optical Phonons ◽

Exchange Correlation ◽

Surfaces And Interfaces ◽

Inelastic Interactions

An important part of condensed matter physics in recent years has involved detailed study of inelastic interactions between swift electrons and condensed matter surfaces. Here we will review some aspects of such interactions.Surface excitations have long been recognized as dominant in determining the exchange-correlation energy of charged particles outside the surface. Properties of surface and bulk polaritons, plasmons and optical phonons in plane-bounded and spherical systems will be discussed from the viewpoint of semiclassical and quantal dielectric theory. Plasmons at interfaces between dissimilar dielectrics and in superlattice configurations will also be considered.

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