Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Theses (Springer Theses)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (6 chapters)
Keywords
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 Z8 group by using the bosonization technique and a geometrical consideration.
Authors and Affiliations
About the author
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.
Bibliographic Information
Book Title: Theoretical Study on Correlation Effects in Topological Matter
Authors: Hiroki Isobe
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-981-10-3743-6
Publisher: Springer Singapore
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2017
Hardcover ISBN: 978-981-10-3742-9Published: 11 April 2017
Softcover ISBN: 978-981-10-9955-7Published: 31 July 2018
eBook ISBN: 978-981-10-3743-6Published: 04 April 2017
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XII, 136
Number of Illustrations: 5 b/w illustrations, 41 illustrations in colour
Topics: Strongly Correlated Systems, Superconductivity, Quantum Field Theories, String Theory, Phase Transitions and Multiphase Systems, Magnetism, Magnetic Materials