Overview
- Proves the significance of mirror symmetry and chirality in topological insulators
- Provides a detailed description of the various phenomena when two surface states of topological insulators hybridize, depending on the chirality
- Examines those signs of the Dirac velocities that determine whether the interface states between two topological insulators are metallic or insulating.
- Nominated as an outstanding contribution by the Tokyo Institute of Technology’s Physics Department in 2013
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Theses (Springer Theses)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Keywords
About this book
In this book, the author theoretically studies two aspects of topological states.
First, novel states arising from hybridizing surface states of topological insulators are theoretically introduced. As a remarkable example, the author shows the existence of gapless interface states at the interface between two different topological insulators, which belong to the same topological phase. While such interface states are usually gapped due to hybridization, the author proves that the interface states are in fact gapless when the two topological insulators have opposite chiralities. This is the first time that gapless topological novel interface states protected by mirror symmetry have been proposed.
Second, the author studies the Weyl semimetal phase in thin topological insulators subjected to a magnetic field. This Weyl semimetal phase possesses edge states showing abnormal dispersion, which is not observed without mirror symmetry. The author explains that the edge states gain a finite velocity by a particular form of inversion symmetry breaking, which makes it possible to observe the phenomenon by means of electric conductivity.
Authors and Affiliations
About the author
Department of Applied Physics, The University of Tokyo
takahashi@appi.t.u-tokyo.ac.jp
Bibliographic Information
Book Title: Topological States on Interfaces Protected by Symmetry
Authors: Ryuji Takahashi
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-4-431-55534-6
Publisher: Springer Tokyo
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Japan 2015
Hardcover ISBN: 978-4-431-55533-9Published: 22 April 2015
Softcover ISBN: 978-4-431-56217-7Published: 09 October 2016
eBook ISBN: 978-4-431-55534-6Published: 10 April 2015
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XII, 90
Number of Illustrations: 34 b/w illustrations, 6 illustrations in colour
Topics: Phase Transitions and Multiphase Systems, Strongly Correlated Systems, Superconductivity, Surfaces and Interfaces, Thin Films, Solid State Physics, Surface and Interface Science, Thin Films