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Mass term effect on fractional quantum hall states of Dirac particles

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mass term effect on fractional quantum hall states of Dirac particlesby Kouki Yonaga.
Author:	Yonaga, Kouki.
Published:	Singapore :Springer Singapore :2022.
Description:	xii, 90 p. :ill., digital ;24 cm.
Notes:	"Doctoral Thesis accepted by Tohoku University, Sendai, Japan."
Contained By:	Springer Nature eBook
Subject:	Quantum Hall effect.
Online resource:	https://doi.org/10.1007/978-981-16-9166-9
ISBN:	9789811691669$q(electronic bk.)

Mass term effect on fractional quantum hall states of Dirac particles
Yonaga, Kouki.

Mass term effect on fractional quantum hall states of Dirac particles[electronic resource] /by Kouki Yonaga. - Singapore :Springer Singapore :2022. - xii, 90 p. :ill., digital ;24 cm. - Springer theses,2190-5061. - Springer theses..

"Doctoral Thesis accepted by Tohoku University, Sendai, Japan."

Introduction -- Fundamental Theory of Quantum Hall Eﬀect -- Theoretical Model and Method -- Mass Term Eﬀects in Spinless Dirac Particle System -- Eﬀects of Spin, Valley, and Mass Term on Fractional Quantum Hall States -- Mass and Valley Eﬀects on Excitation in Quantum Hall States -- Conclusion.

This book presents the high-precision analysis of ground states and low-energy excitations in fractional quantum Hall states formed by Dirac electrons, which have attracted a great deal of attention. In particular the author focuses on the physics of fractional quantum Hall states in graphene on a hexagonal boron nitride substrate, which was recently implemented in experiments. The numerical approach employed in the book, which uses an exact numerical diagonalization of an effective model Hamiltonian on a Haldane's sphere based on pseudopotential representation of electron interaction, provides a better understanding of the recent experiments. The book reviews various aspects of quantum Hall effect: a brief history, recent experiments with graphene, and fundamental theories on integer and fractional Hall effects. It allows readers to quickly grasp the physics of quantum Hall states of Dirac fermions, and to catch up on latest research on the quantum Hall effect in graphene.

ISBN: 9789811691669$q(electronic bk.)

Standard No.: 10.1007/978-981-16-9166-9doiSubjects--Topical Terms:

204393
Quantum Hall effect.

LC Class. No.: QC612.H3 / Y65 2022

Dewey Class. No.: 537.6226

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505 0 $a Introduction -- Fundamental Theory of Quantum Hall Eﬀect -- Theoretical Model and Method -- Mass Term Eﬀects in Spinless Dirac Particle System -- Eﬀects of Spin, Valley, and Mass Term on Fractional Quantum Hall States -- Mass and Valley Eﬀects on Excitation in Quantum Hall States -- Conclusion.
520 $a This book presents the high-precision analysis of ground states and low-energy excitations in fractional quantum Hall states formed by Dirac electrons, which have attracted a great deal of attention. In particular the author focuses on the physics of fractional quantum Hall states in graphene on a hexagonal boron nitride substrate, which was recently implemented in experiments. The numerical approach employed in the book, which uses an exact numerical diagonalization of an effective model Hamiltonian on a Haldane's sphere based on pseudopotential representation of electron interaction, provides a better understanding of the recent experiments. The book reviews various aspects of quantum Hall effect: a brief history, recent experiments with graphene, and fundamental theories on integer and fractional Hall effects. It allows readers to quickly grasp the physics of quantum Hall states of Dirac fermions, and to catch up on latest research on the quantum Hall effect in graphene.
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