Theoretical Study on Correlation Effects in Topological Matter

Softcover Nachdruck of the Original 1. 2017 Auflage 2018
ISBN: 978-981-10-9955-7
Verlag: Springer Nature Singapore

Buch, Englisch, 136 Seiten, Previously published in hardcover, Format (B × H): 156 mm x 234 mm, Gewicht: 218 g

Reihe: Springer Theses

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 Z and Zgroup by using the bosonization technique and a geometrical consideration.

Zielgruppe

Research

Autoren/Hrsg.

Isobe, Hiroki

Fachgebiete

• Naturwissenschaften Physik Quantenphysik
• Naturwissenschaften Physik Thermodynamik Physik der Zustandsübergänge
• Naturwissenschaften Physik Elektromagnetismus Magnetismus
• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie

Inhaltsverzeichnis

Introduction.- Interacting Dirac fermions in (3+1) dimensions.- Tilted Dirac cones in two dimensions.- Generalized Hund's rule for two-atom systems.- Interacting topological crystalline insulators.- Conclusions and prospects.

Über Autor(innen)

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.