Description: Theoretical Study on Correlation Effects in Topological Matter, Hardcover by Isobe, Hiroki, ISBN 9811037426, ISBN-13 9789811037429, Brand New, Free shipping in the US
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.
Th 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 Hunds 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.
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Book Title: Theoretical Study on Correlation Effects in Topological Matter
Number of Pages: Xii, 136 Pages
Publication Name: Theoretical Study on Correlation Effects in Topological Matter
Language: English
Publisher: Springer
Subject: Physics / Quantum Theory, Superconductors & Superconductivity, Topology, Materials Science / Electronic Materials
Publication Year: 2017
Type: Textbook
Item Weight: 123.3 Oz
Item Length: 9.3 in
Subject Area: Mathematics, Technology & Engineering, Science
Author: Hiroki Isobe
Item Width: 6.1 in
Series: Springer Theses Ser.
Format: Hardcover