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Kouki Yonaga

Mass Term Effect on Fractional Quantum Hall States of Dirac Particles

Mass Term Effect on Fractional Quantum Hall States of Dirac Particles

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  • More about Mass Term Effect on Fractional Quantum Hall States of Dirac Particles

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.

Format: Paperback / softback
Length: 90 pages
Publication date: 26 January 2023
Publisher: Springer Verlag, Singapore


This captivating book delves into the intricate realm of high-precision analysis, exploring the fascinating world of ground states and low-energy excitations in fractional quantum Hall states, formed by Dirac electrons. These states have garnered immense attention due to their remarkable properties and potential applications.

In particular, the author takes a deep dive into the physics of fractional quantum Hall states in graphene on a hexagonal boron nitride substrate, a recent implementation in experimental research. The numerical approach employed in this book, utilizing an exact numerical diagonalization of an effective model Hamiltonian on a Haldanes sphere, based on pseudopotential representation of electron interaction, offers a profound understanding of the latest experiments.

The book encompasses a comprehensive review of various facets of the quantum Hall effect. It provides a brief historical background, highlights recent groundbreaking experiments with graphene, and delves into fundamental theories related to integer and fractional Hall effects. This comprehensive approach ensures that readers gain a swift and thorough grasp of the physics of quantum Hall states of Dirac fermions, while also staying abreast of the latest advancements in the field of the quantum Hall effect in graphene.

Whether you are a seasoned researcher or an enthusiast seeking to delve into the captivating world of quantum physics, this book is an invaluable resource. It serves as a gateway to deeper insights and a deeper understanding of the complex phenomena that govern the behavior of electrons in fractional quantum Hall states. Prepare to be captivated by the wonders of this fascinating field as you embark on a journey through the pages of this extraordinary book.

Weight: 174g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811691683
Edition number: 1st ed. 2022

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