scholarly journals The family of topological phases in condensed matter†

2013 ◽  
Vol 1 (1) ◽  
pp. 49-59 ◽  
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.

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

RSC Advances ◽  
2016 ◽  
Vol 6 (83) ◽  
pp. 79452-79458 ◽  
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.

scholarly journals ON EXOTIC SPHERE FIBRATIONS, TOPOLOGICAL PHASES, AND EDGE STATES IN PHYSICAL SYSTEMS

2013 ◽  
Vol 27 (19) ◽  
pp. 1350107 ◽  
Author(s):  
HAI LIN ◽  
SHING-TUNG YAU
Keyword(s):  
Topological Insulators ◽  
Condensed Matter ◽  
Topological Phases ◽  
Edge States ◽  
Geometric Phases ◽  
Magnetoelectric Effects ◽  
Physical Systems ◽  
Chern Numbers ◽  
Weyl Semimetals ◽  
Exotic Sphere

We suggest that exotic sphere fibrations can be mapped to band topologies in condensed matter systems. These fibrations can correspond to geometric phases of two double bands or state vector bases with second Chern numbers m+n and -n, respectively. They can be related to topological insulators, magnetoelectric effects, and photonic crystals with special edge states. We also consider time-reversal symmetry breaking perturbations of topological insulator, and heterostructures of topological insulators with normal insulators and with superconductors. We consider periodic TI/NI/TI/NI′ heterostructures, and periodic TI/SC/TI/SC′ heterostructures. They also give rise to models of Weyl semimetals which have thermal and electrical transports.

scholarly journals Advances in Topological Materials

Crystals ◽  
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 [...]

scholarly journals Recent Advances in Novel Topological Materials

Crystals ◽  
2020 ◽  
Vol 10 (2) ◽  
pp. 94
Author(s):  
Guang Bian ◽  
Tay-Rong Chang
Keyword(s):  
Topological Insulators ◽  
Condensed Matter ◽  
Topological Phases ◽  
Topological Materials ◽  
Research Activities ◽  
Experimental Discovery ◽  
Recent Advances ◽  
2D And 3D

Ever since the experimental discovery of the first 2D and 3D topological insulators, there have been intense emerging worldwide research activities in searching for and identifying new topological phases of condensed matter [...]

scholarly journals Notes on topological insulators

2016 ◽  
Vol 28 (10) ◽  
pp. 1630003 ◽  
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.

Six- or four-fold band degenerations in CoAs3 , RhAs3 and RhSb3 topological semimetals

2021 ◽  
Author(s):  
Muhammad Rizwan Khan ◽  
Kun Bu ◽  
Jian-Tao Wang
Keyword(s):  
Materials Science ◽  
Condensed Matter ◽  
Condensed Matter Physics ◽  
Topological Phases ◽  
Fundamental Physics ◽  
Device Applications ◽  
Topological Semimetals ◽  
Topological Phases Of Matter

Searching for new topological phases of matter has long been a hot topic in condensed matter physics and materials science based on its fundamental physics and promising device applications. Here...

Inelastic scattering at surfaces and interfaces

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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