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The Quantum Hall Effect

The Quantum Hall Effect PDF Author: Daijiro Yoshioka
Publisher: Springer Science & Business Media
ISBN: 3662050161
Category : Science
Languages : en
Pages : 214

Book Description
The fractional quantum Hall effect has opened up a new paradigm in the study of strongly correlated electrons and it has been shown that new concepts, such as fractional statistics, anyon, chiral Luttinger liquid and composite particles, are realized in two-dimensional electron systems. This book explains the quantum Hall effects together with these new concepts starting from elementary quantum mechanics.

The Quantum Hall Effect

The Quantum Hall Effect PDF Author: Daijiro Yoshioka
Publisher: Springer Science & Business Media
ISBN: 3662050161
Category : Science
Languages : en
Pages : 214

Book Description
The fractional quantum Hall effect has opened up a new paradigm in the study of strongly correlated electrons and it has been shown that new concepts, such as fractional statistics, anyon, chiral Luttinger liquid and composite particles, are realized in two-dimensional electron systems. This book explains the quantum Hall effects together with these new concepts starting from elementary quantum mechanics.

The Quantum Hall Effect

The Quantum Hall Effect PDF Author: Richard E. Prange
Publisher: Springer Science & Business Media
ISBN: 146123350X
Category : Technology & Engineering
Languages : en
Pages : 487

Book Description
After a foreword by Klaus von Klitzing, the first chapters of this book discuss the prehistory and the theoretical basis as well as the implications of the discovery of the Quantum Hall effect on superconductivity, superfluidity, and metrology, including experimentation. The second half of this volume is concerned with the theory of and experiments on the many body problem posed by fractional effect. Specific unsolved problems are mentioned throughout the book and a summary is made in the final chapter. The quantum Hall effect was discovered on about the hundredth anniversary of Hall's original work, and the finding was announced in 1980 by von Klitzing, Dorda and Pepper. Klaus von KIitzing was awarded the 1985 Nobel prize in physics for this discovery.

Quantum Hall Effects

Quantum Hall Effects PDF Author: Zyun Francis Ezawa
Publisher: World Scientific
ISBN: 9812700323
Category : Science
Languages : en
Pages : 741

Book Description
A pedagogical and self-contained discussion on monolayer and bilayer quantum Hall systems is given in this volume in a field-theoretical framework, with an introduction to quantum field theory, anyon physics and Chem-Simons gauge theory.

Fractional Quantum Hall Effects: New Developments

Fractional Quantum Hall Effects: New Developments PDF Author: Bertrand I Halperin
Publisher: World Scientific
ISBN: 9811217505
Category : Science
Languages : en
Pages : 551

Book Description
The fractional quantum Hall effect has been one of the most active areas of research in quantum condensed matter physics for nearly four decades, serving as a paradigm for unexpected and exotic emergent behavior arising from interactions. This book, featuring a collection of articles written by experts and a Foreword by Klaus von Klitzing, the discoverer of quantum Hall effect and winner of 1985 Nobel Prize in physics, aims to provide a coherent account of the exciting new developments and the current status of the field.

Perspectives in Quantum Hall Effects

Perspectives in Quantum Hall Effects PDF Author: Sankar Das Sarma
Publisher: John Wiley & Sons
ISBN: 3527617264
Category : Science
Languages : en
Pages : 444

Book Description
The discovery of the quantized and fractional Quantum Hall Effect phenomena is among the most important physics findings in the latter half of this century. The precise quantization of the electrical resistance involved in the quantized Hall effect phenomena has led to the new definition of the resistance standard and has metrologically affected all of science and technology. This resource consists of contributions from the top researchers in the field who present recent experimental and theoretical developments. Each chapter is self-contained and includes its own set of references guiding readers to original papers and further reading on the topic.

Introduction to Quantum Hall Effect

Introduction to Quantum Hall Effect PDF Author: Keshav Narin Shrivastava
Publisher: Nova Publishers
ISBN: 9781590334195
Category : Science
Languages : en
Pages : 310

Book Description
NMR in quantum Hall effect is described and electronic polarization at half-filled Landau levels is given. Important appendices are provided."--BOOK JACKET.

Quantum Hall Effect

Quantum Hall Effect PDF Author: A. H. MacDonald
Publisher: Jaca Book
ISBN:
Category : Science
Languages : en
Pages : 286

Book Description


Field Theories of Condensed Matter Physics

Field Theories of Condensed Matter Physics PDF Author: Eduardo Fradkin
Publisher: Cambridge University Press
ISBN: 0521764440
Category : Science
Languages : en
Pages : 855

Book Description
Presenting the physics of the most challenging problems in condensed matter using the conceptual framework of quantum field theory, this book is of great interest to physicists in condensed matter and high energy and string theorists, as well as mathematicians. Revised and updated, this second edition features new chapters on the renormalization group, the Luttinger liquid, gauge theory, topological fluids, topological insulators and quantum entanglement. The book begins with the basic concepts and tools, developing them gradually to bring readers to the issues currently faced at the frontiers of research, such as topological phases of matter, quantum and classical critical phenomena, quantum Hall effects and superconductors. Other topics covered include one-dimensional strongly correlated systems, quantum ordered and disordered phases, topological structures in condensed matter and in field theory and fractional statistics.

Quantum Hall Effects

Quantum Hall Effects PDF Author: Zyun Francis Ezawa
Publisher: World Scientific Publishing Company
ISBN: 9789814360753
Category : Science
Languages : en
Pages : 891

Book Description
The Quantum Hall Effect (QHE) is one of the most fascinating and beautiful phenomena in all branches of physics. Tremendous theoretical and experimental developments are still being made in this sphere. Composite bosons, composite fermions and anyons were among distinguishing ideas in the original edition. In the 2nd edition, fantastic phenomena associated with the interlayer phase coherence in the bilayer system were extensively described. The microscopic theory of the QHE was formulated based on the noncommutative geometry. Furthermore, the unconventional QHE in graphene was reviewed, where the electron dynamics can be treated as relativistic Dirac fermions and even the supersymmetric quantum mechanics plays a key role. In this 3rd edition, all chapters are carefully reexamined and updated. The new topics are recent experimental developments on various aspects of QHE, which are included in several new chapters in Part V. Each chapter will summarize the main experimental results of a distinguished experimentalist. This new edition provides an instructive and comprehensive overview of the QHE. It is also suitable for an introduction to quantum field theory with vividly described applications. Only knowledge of quantum mechanics is assumed. This book is ideal for students and researchers in condensed matter physics, particle physics, theoretical physics and mathematical physics.

Mass Term Effect on Fractional Quantum Hall States of Dirac Particles

Mass Term Effect on Fractional Quantum Hall States of Dirac Particles PDF Author: Kouki Yonaga
Publisher: Springer Nature
ISBN: 9811691665
Category : Science
Languages : en
Pages : 96

Book Description
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 Haldaneā€™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.