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[Ryuji Takahashi]Topological States on Interfaces Protected by Symmetry(pdf){Zzzzz}[BЯ]

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Description

 							
  
  
  
  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.
  
  Editorial Reviews
  From the Back Cover
  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.
  About the Author
  Dr. Ryuji
Takahashi
  Department of Applied Physics, The University of Tokyo
  [email protected] 
 

  Publisher: Springer; 2015 edition (April 11, 2015)
  Language: English
 
ISBN-10: 4431555331
  ISBN-13: 978-4431555339
  
   						

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