Theoretical Study on Correlation Effects in Topological Matter

Автор: Hiroki Isobe

Език:

Корици: С меки корици

Издател: Springer Verlag, Singapore

Наличност: Външен склад в ограничено количество

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This thesis elucidates electron correlation effects in topological matter whose electronic states ho...

Информация за книгата

Автор

Hiroki Isobe

Език

Английски език

Корици

Книга - С меки корици

Издадена

2018

страници

136

EAN

9789811099557

Enbook ID

20125375

Издател

Springer Verlag, Singapore

Теглоt

454

Размери

155 x 235 x 8

Пълно описание

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 4 and Z 8 group by using the bosonization technique and a geometrical consideration.

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