Fractional Quantum Hall Effect In Wide Quantum Wells

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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.

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.

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 : 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.

Composite Fermions

Author : Jainendra K. Jain
Publisher : Cambridge University Press
ISBN 13 : 9780521862325
Total Pages : 560 pages
Book Rating : 4.8/5 (623 download)

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Book Synopsis Composite Fermions by : Jainendra K. Jain

Download or read book Composite Fermions written by Jainendra K. Jain and published by Cambridge University Press. This book was released on 2007-03-29 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was first published in 2007. When electrons are confined to two dimensions, cooled to near absolute zero temperature, and subjected to a strong magnetic field, they form an exotic new collective state of matter. Investigations into this began with the observations of integral and fractional quantum Hall effects, which are among the most important discoveries in condensed matter physics. The fractional quantum Hall effect and a stream of other unexpected findings are explained by a new class of particles: composite fermions. This textbook is a self-contained, pedagogical introduction to the physics and experimental manifestations of composite fermions. Ideal for graduate students and academic researchers, it contains numerous exercises to reinforce the concepts presented. The topics covered include the integral and fractional quantum Hall effects, the composite-fermion Fermi sea, various kinds of excitations, the role of spin, edge state transport, electron solid, bilayer physics, fractional braiding statistics and fractional local charge.

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.

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.

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.

Many-Body Quantum Theory in Condensed Matter Physics

Author : Henrik Bruus
Publisher : Oxford University Press
ISBN 13 : 0198566336
Total Pages : 458 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Many-Body Quantum Theory in Condensed Matter Physics by : Henrik Bruus

Download or read book Many-Body Quantum Theory in Condensed Matter Physics written by Henrik Bruus and published by Oxford University Press. This book was released on 2004-09-02 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.

Correlated Electrons In Quantum Matter

Author : Peter Fulde
Publisher : World Scientific
ISBN 13 : 9814397229
Total Pages : 550 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Correlated Electrons In Quantum Matter by : Peter Fulde

Download or read book Correlated Electrons In Quantum Matter written by Peter Fulde and published by World Scientific. This book was released on 2012-08-08 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanding of the effects of electronic correlations in quantum systems is one of the most challenging problems in physics, partly due to the relevance in modern high technology. Yet there exist hardly any books on the subject which try to give a comprehensive overview on the field covering insulators, semiconductors, as well as metals. The present book tries to fill that gap.It intends to provide graduate students and researchers a comprehensive survey of electron correlations, weak and strong, in insulators, semiconductors and metals. This topic is a central one in condensed matter and beyond that in theoretical physics. The reader will have a better understanding of the great progress which has been made in the field over the past few decades.

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.

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.

Physics of Low-Dimensional Semiconductor Structures

Author : Paul N. Butcher
Publisher : Springer Science & Business Media
ISBN 13 : 1489924159
Total Pages : 597 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Physics of Low-Dimensional Semiconductor Structures by : Paul N. Butcher

Download or read book Physics of Low-Dimensional Semiconductor Structures written by Paul N. Butcher and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the latest advances in artificial structures, this volume discusses in-depth the structure and electron transport mechanisms of quantum wells, superlattices, quantum wires, and quantum dots. It will serve as an invaluable reference and review for researchers and graduate students in solid-state physics, materials science, and electrical and electronic engineering.

Topological Quantum

Author : Steven H. Simon
Publisher : Oxford University Press
ISBN 13 : 0198886772
Total Pages : 641 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Topological Quantum by : Steven H. Simon

Download or read book Topological Quantum written by Steven H. Simon and published by Oxford University Press. This book was released on 2023-09-29 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the intersection of physics, mathematics, and computer science, an exciting new field of study has formed, known as “Topological Quantum.” This research field examines the deep connections between the theory of knots, special types of subatomic particles known as anyons, certain phases of matter, and quantum computation. This book elucidates this nexus, drawing in topics ranging from quantum gravity to topology to experimental condensed matter physics. Topological quantum has increasingly been a focus point in the fields of condensed matter physics and quantum information over the last few decades, and the forefront of research now builds on the basic ideas presented in this book. The material is presented in a down-to-earth and entertaining way that is far less abstract than most of what is in the literature. While introducing the crucial concepts and placing them in context, the subject is presented without resort to the highly mathematical category theory that underlies the field. Requiring only an elementary background in quantum mechanics, this book is appropriate for all readers, from advanced undergraduates to the professional practitioner. This book will be of interest to mathematicians and computer scientists as well as physicists working on a wide range of topics. Those interested in working in these field will find this book to be an invaluable introduction as well as a crucial reference.

Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets

Author : Hagen Kleinert
Publisher : World Scientific
ISBN 13 : 9814273570
Total Pages : 1626 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets by : Hagen Kleinert

Download or read book Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets written by Hagen Kleinert and published by World Scientific. This book was released on 2009 with total page 1626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological restrictions. These are relevant to the understanding of the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The Chern-Simons theory of particles with fractional statistics (anyons) is introduced and applied to explain the fractional quantum Hall effect." "The relevance of path integrals to financial markets is discussed, and improvements of the famous Black-Scholes formula for option prices are developed which account for the fact that large market fluctuations occur much more frequently than in Gaussian distributions." --Book Jacket.

Memorial Volume For Shoucheng Zhang

Author : Xiaoliang Qi
Publisher : World Scientific
ISBN 13 : 9811231729
Total Pages : 510 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Memorial Volume For Shoucheng Zhang by : Xiaoliang Qi

Download or read book Memorial Volume For Shoucheng Zhang written by Xiaoliang Qi and published by World Scientific. This book was released on 2021-08-24 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book honors the remarkable science and life of Shoucheng Zhang, a condensed matter theorist known for his work on topological insulators, the quantum Hall effect, spintronics, superconductivity, and other fields. It contains the contributions displayed at the Shoucheng Zhang Memorial Workshop held on May 2-4, 2019 at Stanford University.

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.