Theory Of The Integer And Fractional Quantum Hall Effects
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Theory Of The Integer And Fractional Quantum Hall Effects
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Author : Shōsuke Sasaki
language : en
Publisher:
Release Date : 2016
Theory Of The Integer And Fractional Quantum Hall Effects written by Shōsuke Sasaki and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Quantum Hall effect categories.
Theory Of The Integer And Fractional Quantum Hall Effects
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Author : Shosuke Sasaki
language : en
Publisher: Nova Science Publishers
Release Date : 2016
Theory Of The Integer And Fractional Quantum Hall Effects written by Shosuke Sasaki and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Quantum Hall effect categories.
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.
Fractional Quantum Hall Effects New Developments
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Author : Bertrand I Halperin
language : en
Publisher: World Scientific
Release Date : 2020-06-09
Fractional Quantum Hall Effects New Developments written by Bertrand I Halperin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-09 with Science categories.
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.
Introduction To The Theory Of The Integer Quantum Hall Effect
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Author : Martin Janßen
language : en
Publisher: Wiley-VCH
Release Date : 1994-08-09
Introduction To The Theory Of The Integer Quantum Hall Effect written by Martin Janßen and has been published by Wiley-VCH this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-08-09 with Science categories.
This book has been conceived as a multipurpose introduction and comprises three parts that can be viewed as independent units. The reader can start at any level. The first part (chapters 2, 3, A) is intended to convey physical insight into the subject. The next part (chapters 4-8) presents linear response theory as a basic tool and gives various applications of the theory. The final part (chapters 9-12) develops modern aspects such as "localization transition as a critical phenomenon" and the methods of "finite size scaling" and "multifractal analysis". Experimental and theoretical physicists graduate students as well as experts in transport theory will discover new aspects and interesting perspectives on magneto-transport.
Quantum Hall Effect
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Author : Michael Stone
language : en
Publisher: World Scientific
Release Date : 1992
Quantum Hall Effect written by Michael Stone and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.
This book is a compilation of major reprint articles on one of the most intriguing phenomena in modern physics: the quantum Hall effect. Together with a detailed introduction by the editor, this volume serves as a stimulating and valuable reference for students and research workers in condensed matter physics and for those with a particle physics background. The papers have been chosen with the intention of emphasizing the topological aspects of the quantum Hall effect and its connections with other branches of theoretical physics, such as topological quantum field theories and string theory. The contents include sections on integer effect, fractional effect, effect of global topology, effective theories, edge states and non-Abelian statistics.
The Quantum Hall Effect
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Author : Richard E. Prange
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Quantum Hall Effect written by Richard E. Prange and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
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
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Author : Sankar Das Sarma
language : en
Publisher: John Wiley & Sons
Release Date : 2008-07-11
Perspectives In Quantum Hall Effects written by Sankar Das Sarma and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-11 with Science categories.
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.
The Fractional Quantum Hall Effect
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Author : Tapash Chakraborty
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Fractional Quantum Hall Effect written by Tapash Chakraborty and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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
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Author : Daijiro Yoshioka
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
The Quantum Hall Effect written by Daijiro Yoshioka and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.
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.
Mass Term Effect On Fractional Quantum Hall States Of Dirac Particles
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Author : Kouki Yonaga
language : en
Publisher: Springer Nature
Release Date : 2022-01-24
Mass Term Effect On Fractional Quantum Hall States Of Dirac Particles written by Kouki Yonaga and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-24 with Science categories.
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.