Quantum Hall Effect In 2d Electron Gas

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Quantum Hall Effect in 2D Electron Gas

Author : Yohannes Achenefe
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783847338673
Total Pages : 72 pages
Book Rating : 4.3/5 (386 download)

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Book Synopsis Quantum Hall Effect in 2D Electron Gas by : Yohannes Achenefe

Download or read book Quantum Hall Effect in 2D Electron Gas written by Yohannes Achenefe and published by LAP Lambert Academic Publishing. This book was released on 2012 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we analyze the modern state of the problem connected with quantum Hall effect (integral and fractional). The quantum Hall effect is a quantum-mechanical version of the Hall effect, observed in two dimensional electron systems subjected to low temperatures (> 1K) and strong magnetic fields (10T), in which the Hall conductance takes on the quantized values (e2/h) with an integer (integer quantized Hall effect) or a rational fraction (fractional quantized Hall effect), independent of the detail of the sample geometry. The fractional quantum Hall effect is not complectly understood at the time being. Recently the idea of chiral heat transport in quantum Hall regime was pushed forward [33], we also analyze thermal transport in the fractional quantum Hall effect (FQHE). And we consider the problem of two electrons in a uniform magnetic field with the account of the center mass: (1) Quantum Mechanical Description and (2) Classical Description.

The Physics of the Two-Dimensional Electron Gas

Author : J.T. Devreese
Publisher : Springer Science & Business Media
ISBN 13 : 1461319072
Total Pages : 444 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis The Physics of the Two-Dimensional Electron Gas by : J.T. Devreese

Download or read book The Physics of the Two-Dimensional Electron Gas written by J.T. Devreese and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 1986 Advanced Study Institute on "The Physics of the two-Dimen sional Electron Gas" took place at the Conference Centre liTer Helme", close to Oostende (Belgium), from June 2 till 16, 1986. We were motivated to organize this Advanced Study Institute in view of the recent experimental and theoretical progress in the study of the two-dimensional electron gas. An additional motivation was our own theore tical interest in cyclotron resonance in two-dimensional electron systems at our institute. It is my pleasure to thank several instances and people who made this Advanced Study Institute possible. First of all, the sponsor of the Advanced Study Institute, the NATO Scientific Committee. Furthermore, the co sponsors: Agfa Gevaert, Bell Telephone Mfg. Co. N.V., Burroughs Belgium. Control Data. Digital Equipment Corporation, Esso Belgium. European Research Office (USA). Kredietbank. National Science Foundation (USA). Special thanks are due to the members of the Program Committee and the members of the Organizing Committee. I would also like to thank Mrs. H. Evans for typing assistance.

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.

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 Fractional Quantum Hall Effect

Author : Tapash Chakraborty
Publisher : Springer Science & Business Media
ISBN 13 : 9783540191117
Total Pages : 175 pages
Book Rating : 4.1/5 (911 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 1988 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been tremendous theoretical and experimental developments in recent years in the field of the fractional quantum Hall effect. The Fractional Quantum Hall Effect presents a general survey of most of the theoretical work and briefly reviews the experimental results on the excitation gap. Researchers, experimentalists and research students with a background in quantum mechanics and statistical physics should find this book useful.

Capacitance Measurements of a Quantized Two-dimensional Electron Gas in the Regime of the Quantum Hall Effect

Author : Randal Keith Goodall
Publisher :
ISBN 13 :
Total Pages : 318 pages
Book Rating : 4.:/5 (115 download)

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Book Synopsis Capacitance Measurements of a Quantized Two-dimensional Electron Gas in the Regime of the Quantum Hall Effect by : Randal Keith Goodall

Download or read book Capacitance Measurements of a Quantized Two-dimensional Electron Gas in the Regime of the Quantum Hall Effect written by Randal Keith Goodall and published by . This book was released on 1984 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Effect of the Boundary Conditions on the Experimental Properties of the Two-dimensional Electron Gas and Quantum Hall Effect

Author : V. S. Egorov
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (249 download)

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Book Synopsis The Effect of the Boundary Conditions on the Experimental Properties of the Two-dimensional Electron Gas and Quantum Hall Effect by : V. S. Egorov

Download or read book The Effect of the Boundary Conditions on the Experimental Properties of the Two-dimensional Electron Gas and Quantum Hall Effect written by V. S. Egorov and published by . This book was released on 1996 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Hall Effect

Author : A. H. MacDonald
Publisher : Jaca Book
ISBN 13 :
Total Pages : 286 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Quantum Hall Effect by : A. H. MacDonald

Download or read book Quantum Hall Effect written by A. H. MacDonald and published by Jaca Book. This book was released on 1989 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Quantum Hall Effects

Author : Tapash Chakraborty
Publisher : Springer Science & Business Media
ISBN 13 : 3642793193
Total Pages : 317 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis The Quantum Hall Effects by : Tapash Chakraborty

Download or read book The Quantum Hall Effects written by Tapash Chakraborty and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 317 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 the positive background charge is well separated from the two gas, where 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.

Topological Insulator and Related Topics

Author :
Publisher : Academic Press
ISBN 13 : 0323915108
Total Pages : 240 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Topological Insulator and Related Topics by :

Download or read book Topological Insulator and Related Topics written by and published by Academic Press. This book was released on 2021-09-24 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Insulator and Related Topics, Volume 108 in the Semiconductors and Semimental series, highlights new advances in the field, with this new volume presenting interesting chapters on topics such as Majorana modes at the ends of one dimensional topological superconductors, Optical/electronic properties of Weyl semimetals, High magnetic fields to unveil the electronic structure, magnetic field-induced transitions, and unconventional transport properties of topological semimetals, New aspects of strongly correlated superconductivity in the nearly flat-band regime, Anomalous transport properties in topological semimetals, Pseudo-gauge field and piezo-electromagnetic response in topological materials, Topological Gapped States Protected by Spatial Symmetries, and more. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in the Semiconductors and Semimetals series Updated release includes the latest information on Topological Insulator and Related Topics

Quantum Mechanics with Applications to Nanotechnology and Information Science

Author : Yehuda B. Band
Publisher : Academic Press
ISBN 13 : 0444537872
Total Pages : 993 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Quantum Mechanics with Applications to Nanotechnology and Information Science by : Yehuda B. Band

Download or read book Quantum Mechanics with Applications to Nanotechnology and Information Science written by Yehuda B. Band and published by Academic Press. This book was released on 2013-01-10 with total page 993 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mechanics transcends and supplants classical mechanics at the atomic and subatomic levels. It provides the underlying framework for many subfields of physics, chemistry and materials science, including condensed matter physics, atomic physics, molecular physics, quantum chemistry, particle physics, and nuclear physics. It is the only way we can understand the structure of materials, from the semiconductors in our computers to the metal in our automobiles. It is also the scaffolding supporting much of nanoscience and nanotechnology. The purpose of this book is to present the fundamentals of quantum theory within a modern perspective, with emphasis on applications to nanoscience and nanotechnology, and information-technology. As the frontiers of science have advanced, the sort of curriculum adequate for students in the sciences and engineering twenty years ago is no longer satisfactory today. Hence, the emphasis on new topics that are not included in older reference texts, such as quantum information theory, decoherence and dissipation, and on applications to nanotechnology, including quantum dots, wires and wells. This book provides a novel approach to Quantum Mechanics whilst also giving readers the requisite background and training for the scientists and engineers of the 21st Century who need to come to grips with quantum phenomena The fundamentals of quantum theory are provided within a modern perspective, with emphasis on applications to nanoscience and nanotechnology, and information-technology Older books on quantum mechanics do not contain the amalgam of ideas, concepts and tools necessary to prepare engineers and scientists to deal with the new facets of quantum mechanics and their application to quantum information science and nanotechnology As the frontiers of science have advanced, the sort of curriculum adequate for students in the sciences and engineering twenty years ago is no longer satisfactory today There are many excellent quantum mechanics books available, but none have the emphasis on nanotechnology and quantum information science that this book has

Quantum Wells: Physics And Electronics Of Two-dimensional Systems

Author : Alexander Shik
Publisher : World Scientific
ISBN 13 : 9814496863
Total Pages : 106 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Quantum Wells: Physics And Electronics Of Two-dimensional Systems by : Alexander Shik

Download or read book Quantum Wells: Physics And Electronics Of Two-dimensional Systems written by Alexander Shik and published by World Scientific. This book was released on 1998-01-09 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book is devoted to the physics, technology and device applications of semiconductor structures with ultrathin layers where the electronic properties are governed by the quantum-mechanical laws. Such structures called quantum wells or structures with the two-dimensional electron gas, have become one of the most actively investigated objects in modern solid state physics. Electronic properties of quantum wells differ dramatically from those of bulk semiconductors, which allows one to observe new types of physical phenomena, such as the quantum Hall effect and many other so-far-unknown kinetic and optical effects. This, in turn, offers wide opportunities for creating semiconductor devices based on new principles, and it has give birth to the new branch of electronics called nanoelectronics.

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.

A Quantum Approach to Condensed Matter Physics

Author : Philip L. Taylor
Publisher : Cambridge University Press
ISBN 13 : 9780521778275
Total Pages : 246 pages
Book Rating : 4.7/5 (782 download)

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Book Synopsis A Quantum Approach to Condensed Matter Physics by : Philip L. Taylor

Download or read book A Quantum Approach to Condensed Matter Physics written by Philip L. Taylor and published by Cambridge University Press. This book was released on 2002-02-28 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an accessible introduction to the theory underlying the many fascinating properties of solids. Assuming only an elementary knowledge of quantum mechanics, it describes the methods by which one can perform calculations and make predictions of some of the many complex phenomena that occur in solids and quantum liquids. The emphasis is on reaching important results by direct and intuitive methods, and avoiding unnecessary mathematical complexity. Designed as a self-contained text that starts at an elementary level and proceeds to more advanced topics, this book is aimed primarily at advanced undergraduate and graduate students in physics, materials science, and electrical engineering. Problem sets are included at the end of each chapter, with solutions available to lecturers. The coverage of some of fascinating developments in condensed matter physics will also appeal to experienced scientists in industry and academia working on electrical properties of materials.

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.

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.