Springer Theses

Theoretical Study on Correlation Effects in Topological Matter

Authors: Isobe, Hiroki

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  • Nominated as an outstanding contribution by The University of Tokyo in 2016
  • Reviews topological phases of matter with electron correlation
  • Describes topological matter and related interacting Dirac fermions in two and three dimensions
  • Covers a wide range of disciplines from condensed matter physics to high-energy physics
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eBook $89.00
price for USA in USD
  • ISBN 978-981-10-3743-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
Softcover $119.99
price for USA in USD
About this book

This thesis elucidates electron correlation effects in topological matter whose electronic states hold nontrivial topological properties robust against small perturbations. In addition to a comprehensive introduction to topological matter, this thesis provides a new perspective on correlated topological matter.

The book comprises three subjects, in which electron correlations in different forms are considered. The first focuses on Coulomb interactions for massless Dirac fermions. Using a perturbative approach, the author reveals emergent Lorentz invariance in a low-energy limit and discusses how to probe the Lorentz invariance experimentally. The second subject aims to show a principle for synthesizing topological insulators with common, light elements. The interplay between the spin–orbit interaction and electron correlation is considered, and Hund's rule and electron filling are consequently found to play a key role for a strong spin–orbit interaction important for topological insulators. The last subject is classification of topological crystalline insulators in the presence of electron correlation. Unlike non-interacting topological insulators, such two- and three-dimensional correlated insulators with mirror symmetry are demonstrated to be characterized, respectively, by the Z4 and Zgroup by using the bosonization technique and a geometrical consideration.

About the authors

Hiroki Isobe is a postdoctoral associate at the Massachusetts Institute of Technology. His work is concerned with the theory of condensed matter physics, and he particularly focuses on the effects of electron interactions in topological phases of matter. He is interested in interacting topological phases and exotic superconductivity. 

Hiroki Isobe received a Bachelor of Engineering from the Department of Applied Physics, The University of Tokyo in March 2011. Thereafter he joined the group led by Professor Naoto Nagaosa in the Department of Applied Physics, The University of Tokyo, receiving both a Master of Engineering and a Ph.D. in engineering from The University of Tokyo in March 2013 and in September 2015, respectively. In 2013, he received the Tanaka Shoji Prize from the Department of Applied Physics, The University of Tokyo for an outstanding Master’s thesis. He was also awarded a research fellowship by the Japan Society for the Promotion of Science (JSPS) in 2013, and was supported by JSPS during his doctoral course.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $89.00
price for USA in USD
  • ISBN 978-981-10-3743-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
Softcover $119.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Theoretical Study on Correlation Effects in Topological Matter
Authors
Series Title
Springer Theses
Copyright
2017
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-10-3743-6
DOI
10.1007/978-981-10-3743-6
Hardcover ISBN
978-981-10-3742-9
Softcover ISBN
978-981-10-9955-7
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XII, 136
Number of Illustrations
5 b/w illustrations, 41 illustrations in colour
Topics