Fluctuations And Localization In Mesoscopic Electron Systems

Fluctuations And Localization In Mesoscopic Electron Systems
Title Fluctuations And Localization In Mesoscopic Electron Systems PDF eBook
Author Martin Janssen
Publisher World Scientific
Total Pages 219
Release 2001-06-15
Genre Science
ISBN 9814493678

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The quantum phenomena of tunneling and interference show up not only in the microscopic world of atoms and molecules, but also in cold materials of the real world, such as metals and semiconductors. Though not fully macroscopic, such mesoscopic systems contain a huge number of particles, and the holistic nature of quantum mechanics becomes evident already in simple electronic measurements. The measured quantity fluctuates as a function of applied fields in an unpredictable, yet reproducible way. Despite this fingerprint character of fluctuations, their statistical properties are universal, i.e. they are the same for a large class of different mesoscopic systems, having only very few parameters in common. Localization of electrons is a dramatic effect of destructive interference. As a consequence a metal can become an insulator while reaching mesoscopic scales.Based on elementary quantum and statistical physics, this text introduces the theory of mesoscopic electron systems. It focuses on universal characteristics of fluctuations and on the localization mechanism. General concepts and methods are stressed, such as scaling laws for distribution functions. Tools from condensed matter theory are used flexibly. Involved technical details are skipped so as to present a broad overview of the field, including topics like quantum dots, the quantum Hall effect and a number of the most recent developments.

Fluctuations and Localization in Mesoscopic Electron Systems

Fluctuations and Localization in Mesoscopic Electron Systems
Title Fluctuations and Localization in Mesoscopic Electron Systems PDF eBook
Author Martin Janssen
Publisher World Scientific
Total Pages 219
Release 2001
Genre Science
ISBN 9810242093

Download Fluctuations and Localization in Mesoscopic Electron Systems Book in PDF, Epub and Kindle

The quantum phenomena of tunneling and interference show up not only in the microscopic world of atoms and molecules, but also in cold materials of the real world, such as metals and semiconductors. Though not fully macroscopic, such mesoscopic systems contain a huge number of particles, and the holistic nature of quantum mechanics becomes evident already in simple electronic measurements. The measured quantity fluctuates as a function of applied fields in an unpredictable, yet reproducible way. Despite this fingerprint character of fluctuations, their statistical properties are universal, i.e. they are the same for a large class of different mesoscopic systems, having only very few parameters in common. Localization of electrons is a dramatic effect of destructive interference. As a consequence a metal can become an insulator while reaching mesoscopic scales. Based on elementary quantum and statistical physics, this text introduces the theory of mesoscopic electron systems. It focuses on universal characteristics of fluctuations and on the localization mechanism. General concepts and methods are stressed, such as scaling laws for distribution functions. Tools from condensed matter theory are used flexibly. Involved technical details are skipped so as to present a broad overview of the field, including topics like quantum dots, the quantum Hall effect and a number of the most recent developments.

Mesoscopic Physics of Electrons and Photons

Mesoscopic Physics of Electrons and Photons
Title Mesoscopic Physics of Electrons and Photons PDF eBook
Author Eric Akkermans
Publisher Cambridge University Press
Total Pages 479
Release 2007-05-28
Genre Science
ISBN 1139463993

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Quantum mesoscopic physics covers a whole class in interference effects related to the propagation of waves in complex and random media. These effects are ubiquitous in physics, from the behaviour of electrons in metals and semiconductors to the propagation of electromagnetic waves in suspensions such as colloids, and quantum systems like cold atomic gases. A solid introduction to quantum mesoscopic physics, this book is a modern account of the problem of coherent wave propagation in random media. It provides a unified account of the basic theoretical tools and methods, highlighting the common aspects of the various optical and electronic phenomena involved and presenting a large number of experimental results. With over 200 figures, and exercises throughout, the book was originally published in 2007 and is ideal for graduate students in physics, electrical engineering, applied physics, acoustics and astrophysics. It will also be an interesting reference for researchers.

Electronic Transport in Mesoscopic Systems

Electronic Transport in Mesoscopic Systems
Title Electronic Transport in Mesoscopic Systems PDF eBook
Author Supriyo Datta
Publisher Cambridge University Press
Total Pages 398
Release 1997-05-15
Genre Science
ISBN 1139643010

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Advances in semiconductor technology have made possible the fabrication of structures whose dimensions are much smaller than the mean free path of an electron. This book gives a thorough account of the theory of electronic transport in such mesoscopic systems. After an initial chapter covering fundamental concepts, the transmission function formalism is presented, and used to describe three key topics in mesoscopic physics: the quantum Hall effect; localisation; and double-barrier tunnelling. Other sections include a discussion of optical analogies to mesoscopic phenomena, and the book concludes with a description of the non-equilibrium Green's function formalism and its relation to the transmission formalism. Complete with problems and solutions, the book will be of great interest to graduate students of mesoscopic physics and nanoelectronic device engineering, as well as to established researchers in these fields.

Semiconductor Device Physics and Design

Semiconductor Device Physics and Design
Title Semiconductor Device Physics and Design PDF eBook
Author Umesh Mishra
Publisher Springer Science & Business Media
Total Pages 583
Release 2007-11-06
Genre Technology & Engineering
ISBN 1402064810

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Semiconductor Device Physics and Design teaches readers how to approach device design from the point of view of someone who wants to improve devices and can see the opportunity and challenges. It begins with coverage of basic physics concepts, including the physics behind polar heterostructures and strained heterostructures. The book then details the important devices ranging from p-n diodes to bipolar and field effect devices. By relating device design to device performance and then relating device needs to system use the student can see how device design works in the real world.

Embedded Random Matrix Ensembles in Quantum Physics

Embedded Random Matrix Ensembles in Quantum Physics
Title Embedded Random Matrix Ensembles in Quantum Physics PDF eBook
Author V.K.B. Kota
Publisher Springer
Total Pages 401
Release 2014-07-08
Genre Science
ISBN 3319045679

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Although used with increasing frequency in many branches of physics, random matrix ensembles are not always sufficiently specific to account for important features of the physical system at hand. One refinement which retains the basic stochastic approach but allows for such features consists in the use of embedded ensembles. The present text is an exhaustive introduction to and survey of this important field. Starting with an easy-to-read introduction to general random matrix theory, the text then develops the necessary concepts from the beginning, accompanying the reader to the frontiers of present-day research. With some notable exceptions, to date these ensembles have primarily been applied in nuclear spectroscopy. A characteristic example is the use of a random two-body interaction in the framework of the nuclear shell model. Yet, topics in atomic physics, mesoscopic physics, quantum information science and statistical mechanics of isolated finite quantum systems can also be addressed using these ensembles. This book addresses graduate students and researchers with an interest in applications of random matrix theory to the modeling of more complex physical systems and interactions, with applications such as statistical spectroscopy in mind.

Classical and Quantum Dynamics of Constrained Hamiltonian Systems

Classical and Quantum Dynamics of Constrained Hamiltonian Systems
Title Classical and Quantum Dynamics of Constrained Hamiltonian Systems PDF eBook
Author Heinz J. Rothe
Publisher World Scientific
Total Pages 317
Release 2010
Genre Mathematics
ISBN 9814299650

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This book is an introduction to the field of constrained Hamiltonian systems and their quantization, a topic which is of central interest to theoretical physicists who wish to obtain a deeper understanding of the quantization of gauge theories, such as describing the fundamental interactions in nature. Beginning with the early work of Dirac, the book covers the main developments in the field up to more recent topics, such as the field-antifield formalism of Batalin and Vilkovisky, including a short discussion of how gauge anomalies may be incorporated into this formalism. The book is comprehensive and well-illustrated with examples, enables graduate students to follow the literature on this subject without much problems, and to perform research in this field.