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Theoretical study on correlation eff...

Isobe, Hiroki.

Theoretical study on correlation effects in topological matter

Record Type:	Electronic resources : Monograph/item
Title/Author:	Theoretical study on correlation effects in topological matterby Hiroki Isobe.
Author:	Isobe, Hiroki.
Published:	Singapore :Springer Singapore :2017.
Description:	xii, 136 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Topology.
Online resource:	http://dx.doi.org/10.1007/978-981-10-3743-6
ISBN:	9789811037436$q(electronic bk.)

Theoretical study on correlation effects in topological matter
Isobe, Hiroki.

Theoretical study on correlation effects in topological matter[electronic resource] /by Hiroki Isobe. - Singapore :Springer Singapore :2017. - xii, 136 p. :ill., digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

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.

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 Z8 group by using the bosonization technique and a geometrical consideration.

ISBN: 9789811037436$q(electronic bk.)

Standard No.: 10.1007/978-981-10-3743-6doiSubjects--Topical Terms:

185965
Topology.

LC Class. No.: QA611

Dewey Class. No.: 514

Theoretical study on correlation effects in topological matter
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245 1 0 $a Theoretical study on correlation effects in topological matter $h [electronic resource] / $c by Hiroki Isobe.
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505 0 $a 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.
520 $a 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 Z8 group by using the bosonization technique and a geometrical consideration.
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