Theoretical Study on Correlation Effects in Topological Matter

Autor: Hiroki Isobe

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Editura: Springer Verlag, Singapore

Disponibilitate: În depozitul extern în cantități mici

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581.70 lei

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

Informații despre carte

Autor

Hiroki Isobe

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2018

Pagini

136

EAN

9789811099557

Enbook ID

20125375

Editura

Springer Verlag, Singapore

Greutate

454

Dimensiuni

155 x 235 x 8

Descriere completă

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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