Current And Charge Distributions Of The Fractional Quantum Hall Liquids With Edges

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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.

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.

Modern Condensed Matter Physics

Author : Steven M. Girvin
Publisher : Cambridge University Press
ISBN 13 : 110713739X
Total Pages : 720 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Modern Condensed Matter Physics by : Steven M. Girvin

Download or read book Modern Condensed Matter Physics written by Steven M. Girvin and published by Cambridge University Press. This book was released on 2019-02-28 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive and accessible coverage from the basics to advanced topics in modern quantum condensed matter physics.

Composite Fermions, A Unified View Of The Quantum Hall Regime

Author : Olle G Heinonen
Publisher : World Scientific
ISBN 13 : 9814495727
Total Pages : 504 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Composite Fermions, A Unified View Of The Quantum Hall Regime by : Olle G Heinonen

Download or read book Composite Fermions, A Unified View Of The Quantum Hall Regime written by Olle G Heinonen and published by World Scientific. This book was released on 1998-10-15 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most exciting recent developments to have emerged from the quantum Hall effect is the subject of composite fermions. This important volume gives a self-contained, comprehensive description of the subject, including fundamentals, more advanced theoretical work, and results from experimental observations of composite fermions.

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.

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.

Composite Fermions

Author : Jainendra K. Jain
Publisher : Cambridge University Press
ISBN 13 : 1139462644
Total Pages : 561 pages
Book Rating : 4.1/5 (394 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 561 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.

Advanced Solid State Physics

Author : Philip Phillips
Publisher : Cambridge University Press
ISBN 13 : 0521194903
Total Pages : 415 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Advanced Solid State Physics by : Philip Phillips

Download or read book Advanced Solid State Physics written by Philip Phillips and published by Cambridge University Press. This book was released on 2012-03 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces students to the key research topics within modern solid state physics with the minimum of mathematics.

The Physics of Semiconductors

Author : Marius Grundmann
Publisher : Springer Science & Business Media
ISBN 13 : 3540346619
Total Pages : 702 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis The Physics of Semiconductors by : Marius Grundmann

Download or read book The Physics of Semiconductors written by Marius Grundmann and published by Springer Science & Business Media. This book was released on 2006-11-22 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brings the reader to an overview of the subject as a whole and to the point where they can specialize and enter supervised laboratory research Provides a balance between aspects of solid state and semiconductor physics and the concepts of various semiconductor devices and their applications in electric and photonic devices. Proffers explicit formulas (with the help of Mathematica) for as many as possible results, going beyond current textbook equations, thus makes easier to understand for undergrads.

Transport Spectroscopy of Confined Fractional Quantum Hall Systems

Author : Stephan Baer
Publisher : Springer
ISBN 13 : 3319210513
Total Pages : 308 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Transport Spectroscopy of Confined Fractional Quantum Hall Systems by : Stephan Baer

Download or read book Transport Spectroscopy of Confined Fractional Quantum Hall Systems written by Stephan Baer and published by Springer. This book was released on 2015-08-18 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of recent developments in experiments probing the fractional quantum Hall (FQH) states of the second Landau level, especially the \nu=5/2 state. It summarizes the state-of-the-art understanding of these FQH states. It furthermore describes how the properties of the FQH states can be probed experimentally, by investigating tunneling and confinement properties. The progress towards the realization of an experiment, allowing to probe the potentially non-Abelian statistics of the quasiparticle excitations at \nu=5/2 is discussed. The book is intended as a reference for graduate students, PostDocs and researchers starting in the field. The experimental part of this book gives practical advice for solving the experimental challenges which researchers studying highly fragile FQH states are faced with.

Nobel Faces

Author : Peter Badge
Publisher : John Wiley & Sons
ISBN 13 : 9783527406784
Total Pages : 640 pages
Book Rating : 4.4/5 (67 download)

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Book Synopsis Nobel Faces by : Peter Badge

Download or read book Nobel Faces written by Peter Badge and published by John Wiley & Sons. This book was released on 2007-12-03 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Viereinhalb Jahre lang reiste der Berliner Fotograf Peter Badge um die Welt und traf alle 260 noch lebenden Nobelpreisträger. Das Resultat dieses einmaligen Projekts ist ein beeindruckender Bildband mit schlichten Schwarzweiß-Porträts, ergänzt durch die jeweilige Kurzbiographie.

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.

Symmetry And Structural Properties Of Condensed Matter - Proceedings Of The 4th International School On Theoretical Physics

Author : Tadeusz Lulek
Publisher : World Scientific
ISBN 13 : 9814546550
Total Pages : 570 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Symmetry And Structural Properties Of Condensed Matter - Proceedings Of The 4th International School On Theoretical Physics by : Tadeusz Lulek

Download or read book Symmetry And Structural Properties Of Condensed Matter - Proceedings Of The 4th International School On Theoretical Physics written by Tadeusz Lulek and published by World Scientific. This book was released on 1997-07-01 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an adequate mathematical description of solid state properties. It concentrates on group action methods, generalized statistics and molecular symmetries (unitary and symmetric groups).

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.

Mesoscopic Quantum Hall Effect

Author : Ivan Levkivskyi
Publisher : Springer Science & Business Media
ISBN 13 : 3642304990
Total Pages : 200 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Mesoscopic Quantum Hall Effect by : Ivan Levkivskyi

Download or read book Mesoscopic Quantum Hall Effect written by Ivan Levkivskyi and published by Springer Science & Business Media. This book was released on 2012-08-18 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, remarkable progress in the fabrication of novel mesoscopic devices has produced a revival of interest in quantum Hall physics. New types of measurements, more precise and efficient than ever, have made it possible to focus closely on the electronic properties of quantum Hall edge states. This is achieved by applying charge and heat currents at mesoscopic length scales, attaching metallic gates and Ohmic contacts, and splitting edge channels with the help of quantum point contacts. The experiments reveal fascinating new phenomena, such as the interference, statistics, and topological phase shifts of fractionally charged quasi-particles, strong interaction and correlation effects, and phase transitions induced by non-Gaussian fluctuations. The thesis discusses some puzzling results of these experiments and presents a coherent picture of mesoscopic effects in quantum Hall systems, which accounts for integer and fractional filling factors and ranges from microscopic theory to effective models, and covers both equilibrium and non-equilibrium phenomena.

Particles and Fields

Author : Gordon W. Semenoff
Publisher : Springer Science & Business Media
ISBN 13 : 1461214106
Total Pages : 501 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Particles and Fields by : Gordon W. Semenoff

Download or read book Particles and Fields written by Gordon W. Semenoff and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this volume is on quantum field theory: inegrable theories, statistical systems, and applications to condensed-matter physics. It covers some of the most significant recent advances in theoretical physics at a level accessible to advanced graduate students. The contributions, each by a noted researcher, dicuss such topics as: some remarkable features of integrable Toda field theories (E. Corrigan), properties of a gas of interacting Fermions in a lattice of magnetic ions (J. Feldman &. al.), how quantum groups arise in three-dimensional topological quantum field thory (D. Freed), a method for computing correlation functions of solvable lattice models (T. Miwa), matrix models discussed from the point of view of integrable systems (A. Morozov), localization of path integrals in certain equivariant cohomologies (A. Niemi), Calogero-Moser systems (S. Ruijsenaars), planar gauge theories with broken symmetries (M. de Wild Propitius & F.A. Bais), quantum-Hall fluids (A. Capelli & al.), spectral theory of quantum vortex operators (P.I. Ettinghoff).

Field Theories of Condensed Matter Physics

Author : Eduardo Fradkin
Publisher : Cambridge University Press
ISBN 13 : 1107310563
Total Pages : 855 pages
Book Rating : 4.1/5 (73 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.