The Fractional Quantum Hall Effect

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Fractional Quantum Hall Effects: New Developments

Author : Bertrand I Halperin
Publisher : World Scientific
ISBN 13 : 9811217505
Total Pages : 551 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Fractional Quantum Hall Effects: New Developments by : Bertrand I Halperin

Download or read book Fractional Quantum Hall Effects: New Developments written by Bertrand I Halperin and published by World Scientific. This book was released on 2020-06-09 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Fractional Quantum Hall Effect

Author : Tapash Chakraborty
Publisher : Springer Science & Business Media
ISBN 13 : 3642971016
Total Pages : 186 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis The Fractional Quantum Hall Effect by : Tapash Chakraborty

Download or read book The Fractional Quantum Hall Effect written by Tapash Chakraborty and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The experimental discovery of the fractional quantum Hall effect (FQHE) at the end of 1981 by Tsui, Stormer and Gossard was absolutely unexpected since, at this time, no theoretical work existed that could predict new struc tures in the magnetotransport coefficients under conditions representing the extreme quantum limit. It is more than thirty years since investigations of bulk semiconductors in very strong magnetic fields were begun. Under these conditions, only the lowest Landau level is occupied and the theory predicted a monotonic variation of the resistivity with increasing magnetic field, depending sensitively on the scattering mechanism. However, the ex perimental data could not be analyzed accurately since magnetic freeze-out effects and the transitions from a degenerate to a nondegenerate system complicated the interpretation of the data. For a two-dimensional electron gas, where the positive background charge is well separated from the two dimensional system, magnetic freeze-out effects are barely visible and an analysis of the data in the extreme quantum limit seems to be easier. First measurements in this magnetic field region on silicon field-effect transistors were not successful because the disorder in these devices was so large that all electrons in the lowest Landau level were localized. Consequently, models of a spin glass and finally of a Wigner solid were developed and much effort was put into developing the technology for improving the quality of semi conductor materials and devices, especially in the field of two-dimensional electron systems.

The Quantum Hall Effect

Author : Daijiro Yoshioka
Publisher : Springer Science & Business Media
ISBN 13 : 3662050161
Total Pages : 214 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis The Quantum Hall Effect by : Daijiro Yoshioka

Download or read book The Quantum Hall Effect written by Daijiro Yoshioka and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Richard E. Prange
Publisher : Springer Science & Business Media
ISBN 13 : 146123350X
Total Pages : 487 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Quantum Hall Effect by : Richard E. Prange

Download or read book The Quantum Hall Effect written by Richard E. Prange and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Perspectives in Quantum Hall Effects

Author : Sankar Das Sarma
Publisher : John Wiley & Sons
ISBN 13 : 3527617264
Total Pages : 444 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Perspectives in Quantum Hall Effects by : Sankar Das Sarma

Download or read book Perspectives in Quantum Hall Effects written by Sankar Das Sarma and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Electrons in Solids

Author : Richard A Dunlap
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1643276905
Total Pages : 114 pages
Book Rating : 4.6/5 (432 download)

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Book Synopsis Electrons in Solids by : Richard A Dunlap

Download or read book Electrons in Solids written by Richard A Dunlap and published by Morgan & Claypool Publishers. This book was released on 2019-10-24 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: The transport of electric charge through most materials is well described in terms of their electronic band structure. The present book deals with two cases where the charge transport in a solid is not described by the simple band structure picture of the solid. These cases are related to the phenomena of the quantum Hall effect and superconductivity. Part I of this book deals with the quantum Hall effect, which is a consequence of the behavior of electrons in solids when they are constrained to move in two dimensions. Part II of the present volume describes the behavior of superconductors, where electrons are bound together in Cooper pairs and travel through a material without resistance.

Mass Term Effect on Fractional Quantum Hall States of Dirac Particles

Author : Kouki Yonaga
Publisher : Springer
ISBN 13 : 9789811691683
Total Pages : 0 pages
Book Rating : 4.6/5 (916 download)

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Book Synopsis Mass Term Effect on Fractional Quantum Hall States of Dirac Particles by : Kouki Yonaga

Download or read book Mass Term Effect on Fractional Quantum Hall States of Dirac Particles written by Kouki Yonaga and published by Springer. This book was released on 2023-01-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theory of the Integer and Fractional Quantum Hall Effects

Author : Shosuke Sasaki
Publisher : Nova Science Publishers
ISBN 13 : 9781634849388
Total Pages : 0 pages
Book Rating : 4.8/5 (493 download)

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Book Synopsis Theory of the Integer and Fractional Quantum Hall Effects by : Shosuke Sasaki

Download or read book Theory of the Integer and Fractional Quantum Hall Effects written by Shosuke Sasaki and published by Nova Science Publishers. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to describe the physics of the integer and fractional quantum Hall effects (QHE) from a theoretical side. In the classical Hall effect, the Hall resistance is proportional to the applied magnetic field strength and varies continuously. So, the discovery of a stepwise change of the Hall resistance by von Klitzing in an ultra-thin layer of a MOSFET was a big surprise. The QHE is a macroscopic phenomenon and shows the exact quantum structure, which is one of the most fundamental phenomena in physics. The fractional quantum Hall effect has been explained assuming quasi-particles with fractional charges or Jain's composite fermions, the existence of which has not been verified experimentally. The author has been developing a theory based on a standard treatment of an interacting electron system without assuming any quasi-particle. This book will be easily understood by undergraduate students in physics. Knowledge of quantum field theory is needed to study Chapter 9.

Selected Papers of J. Robert Schrieffer

Author : John Robert Schrieffer
Publisher : World Scientific
ISBN 13 : 9789812380791
Total Pages : 528 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis Selected Papers of J. Robert Schrieffer by : John Robert Schrieffer

Download or read book Selected Papers of J. Robert Schrieffer written by John Robert Schrieffer and published by World Scientific. This book was released on 2002 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents papers by theoretical physicist J. Robert Schrieffer on topics in superconductivity and condensed matter physics.

Quantum Hall Effects

Author : Zyun Francis Ezawa
Publisher : World Scientific
ISBN 13 : 9812700323
Total Pages : 741 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Quantum Hall Effects by : Zyun Francis Ezawa

Download or read book Quantum Hall Effects written by Zyun Francis Ezawa and published by World Scientific. This book was released on 2008 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Field Theory of Many-Body Systems

Author : Xiao-Gang Wen
Publisher : OUP Oxford
ISBN 13 : 0191523968
Total Pages : 520 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Quantum Field Theory of Many-Body Systems by : Xiao-Gang Wen

Download or read book Quantum Field Theory of Many-Body Systems written by Xiao-Gang Wen and published by OUP Oxford. This book was released on 2004-06-04 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons and fermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods (which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phase transitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group, bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matter physics.

Tales of the Quantum

Author : Art Hobson
Publisher : Oxford University Press
ISBN 13 : 0190679638
Total Pages : 305 pages
Book Rating : 4.1/5 (96 download)

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Book Synopsis Tales of the Quantum by : Art Hobson

Download or read book Tales of the Quantum written by Art Hobson and published by Oxford University Press. This book was released on 2017 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about the quanta that make up our universe--the highly unified bundles of energy of which everything is made. It explains wave-particle duality, randomness, quantum states, non-locality, Schrodinger's cat, quantum jumps, and more, in everyday language for non-scientists and scientists who wish to fathom science's most fundamental theory.

Fractional Statistics and Quantum Theory

Author : Avinash Khare
Publisher : World Scientific
ISBN 13 : 9812567755
Total Pages : 316 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Fractional Statistics and Quantum Theory by : Avinash Khare

Download or read book Fractional Statistics and Quantum Theory written by Avinash Khare and published by World Scientific. This book was released on 2005 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory. The discussion is at a pedagogical level and is addressed to both graduate students and advanced researchers with a reasonable background in quantum and statistical mechanics. Topics in the first part of the book include the flux tube model of anyons, the braid group and a detailed discussion about the various aspects of quantum and statistical mechanics of a noninteracting anyon gas. The second part of the book includes a detailed discussion about fractional statistics from the point of view of ChernOCoSimons theories. Topics covered here include ChernOCoSimons field theories, charged vortices, anyon superconductivity and the fractional quantum Hall effect. Since the publication of the first edition of the book, an exciting possibility has emerged, that of quantum computing using anyons. A section has therefore been included on this topic in the second edition. In addition, new sections have been added about scattering of anyons with hard disk repulsion as well as fractional exclusion statistics and negative probabilities."

Fractional Statistics and Anyon Superconductivity

Author : Frank Wilczek
Publisher : World Scientific
ISBN 13 : 9789810200497
Total Pages : 462 pages
Book Rating : 4.2/5 (4 download)

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Book Synopsis Fractional Statistics and Anyon Superconductivity by : Frank Wilczek

Download or read book Fractional Statistics and Anyon Superconductivity written by Frank Wilczek and published by World Scientific. This book was released on 1990 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part I: Concepts in fractional statistics, part II: States of anyon matter, part III: Reprinted papers

Solid State Physics

Author : John J. Quinn
Publisher : Springer Science & Business Media
ISBN 13 : 3540922318
Total Pages : 534 pages
Book Rating : 4.5/5 (49 download)

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Book Synopsis Solid State Physics by : John J. Quinn

Download or read book Solid State Physics written by John J. Quinn and published by Springer Science & Business Media. This book was released on 2009-09-18 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for a two semester advanced undergraduate or graduate course in Solid State Physics, this treatment offers modern coverage of the theory and related experiments, including the group theoretical approach to band structures, Moessbauer recoil free fraction, semi-classical electron theory, magnetoconductivity, electron self-energy and Landau theory of Fermi liquid, and both quantum and fractional quantum Hall effects. Integrated throughout are developments from the newest semiconductor devices, e.g. space charge layers, quantum wells and superlattices. The first half includes all material usually covered in the introductory course, but in greater depth than most introductory textbooks. The second half includes most of the important developments in solid-state researches of the past half century, addressing e.g. optical and electronic properties such as collective bulk and surface modes and spectral function of a quasiparticle, which is a basic concept for understanding LEED intensities, X ray fine structure spectroscopy and photoemission. So both the fundamental principles and most recent advances in solid state physics are explained in a class-tested tutorial style, with end-of-chapter exercises for review and reinforcement of key concepts and calculations.

The Butterfly in the Quantum World

Author : Indubala I Satija
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681741172
Total Pages : 350 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis The Butterfly in the Quantum World by : Indubala I Satija

Download or read book The Butterfly in the Quantum World written by Indubala I Satija and published by Morgan & Claypool Publishers. This book was released on 2016-09-06 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Butterfly in the Quantum World by Indu Satija, with contributions by Douglas Hofstadter, is the first book ever to tell the story of the "Hofstadter butterfly", a beautiful and fascinating graph lying at the heart of the quantum theory of matter. The butterfly came out of a simple-sounding question: What happens if you immerse a crystal in a magnetic field? What energies can the electrons take on? From 1930 onwards, physicists struggled to answer this question, until 1974, when graduate student Douglas Hofstadter discovered that the answer was a graph consisting of nothing but copies of itself nested down infinitely many times. This wild mathematical object caught the physics world totally by surprise, and it continues to mesmerize physicists and mathematicians today. The butterfly plot is intimately related to many other important phenomena in number theory and physics, including Apollonian gaskets, the Foucault pendulum, quasicrystals, the quantum Hall effect, and many more. Its story reflects the magic, the mystery, and the simplicity of the laws of nature, and Indu Satija, in a wonderfully personal style, relates this story, enriching it with a vast number of lively historical anecdotes, many photographs, beautiful visual images, and even poems, making her book a great feast, for the eyes, for the mind and for the soul.

Field Theories of Condensed Matter Physics

Author : Eduardo Fradkin
Publisher : Cambridge University Press
ISBN 13 : 0521764440
Total Pages : 855 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Field Theories of Condensed Matter Physics by : Eduardo Fradkin

Download or read book Field Theories of Condensed Matter Physics written by Eduardo Fradkin and published by Cambridge University Press. This book was released on 2013-02-28 with total page 855 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.