Mass term effect on fractional quantum hall states of Dirac particles / Kouki Yonaga.
2022
QC612.H3
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Title
Mass term effect on fractional quantum hall states of Dirac particles / Kouki Yonaga.
Author
Yonaga, Kouki.
ISBN
9789811691669 (electronic bk.)
9811691665 (electronic bk.)
9811691657
9789811691652
9811691665 (electronic bk.)
9811691657
9789811691652
Publication Details
Singapore : Springer, 2022.
Language
English
Description
1 online resource
Item Number
10.1007/978-981-16-9166-9 doi
Call Number
QC612.H3
Dewey Decimal Classification
537.6/226
Summary
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 Haldanes 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.
Note
"Doctoral Thesis accepted by Tohoku University, Sendai, Japan."
Bibliography, etc. Note
Includes bibliographical references.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed February 9, 2022).
Series
Springer theses, 2190-5061
Available in Other Form
Print version: 9789811691652
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Table of Contents
Introduction
Fundamental Theory of Quantum Hall Eect
Theoretical Model and Method
Mass Term Eects in Spinless Dirac Particle System
Eects of Spin, Valley, and Mass Term on Fractional Quantum Hall States
Mass and Valley Eects on Excitation in Quantum Hall States
Conclusion.
Fundamental Theory of Quantum Hall Eect
Theoretical Model and Method
Mass Term Eects in Spinless Dirac Particle System
Eects of Spin, Valley, and Mass Term on Fractional Quantum Hall States
Mass and Valley Eects on Excitation in Quantum Hall States
Conclusion.