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Theoretical Study on Correlation Effects in Topological Matter : Springer Theses - Hiroki Isobe

Theoretical Study on Correlation Effects in Topological Matter

Springer Theses

Paperback Published: 25th April 2019
ISBN: 9789811099557
Number Of Pages: 136

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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.

ISBN: 9789811099557
ISBN-10: 9811099553
Series: Springer Theses
Audience: General
Format: Paperback
Language: English
Number Of Pages: 136
Published: 25th April 2019
Publisher: Springer Verlag, Singapore
Country of Publication: SG
Dimensions (cm): 23.39 x 15.6  x 0.81
Weight (kg): 0.22

Earn 363 Qantas Points
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