Mesoscopic Systems

Author : Supriyo Datta
Publisher : Cambridge University Press
Page : 398 pages
File Size : 43,6 Mb
Release : 1997-05-15
Category : Science
ISBN : 9781139643016

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Electronic Transport in Mesoscopic Systems by Supriyo Datta Pdf

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.

Author : David Sánchez,Michael Moskalets
Publisher : MDPI
Page : 426 pages
File Size : 40,9 Mb
Release : 2021-01-06
Category : Mathematics
ISBN : 9783039433667

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Quantum Transport in Mesoscopic Systems by David Sánchez,Michael Moskalets Pdf

Mesoscopic physics deals with systems larger than single atoms but small enough to retain their quantum properties. The possibility to create and manipulate conductors of the nanometer scale has given birth to a set of phenomena that have revolutionized physics: quantum Hall effects, persistent currents, weak localization, Coulomb blockade, etc. This Special Issue tackles the latest developments in the field. Contributors discuss time-dependent transport, quantum pumping, nanoscale heat engines and motors, molecular junctions, electron–electron correlations in confined systems, quantum thermo-electrics and current fluctuations. The works included herein represent an up-to-date account of exciting research with a broad impact in both fundamental and applied topics.

Author : B. Altshuler,A. Tagliacozzo,V. Tognetti
Publisher : IOS Press
Page : 473 pages
File Size : 52,5 Mb
Release : 2004-01-28
Category : Science
ISBN : 9781614990079

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Quantum Phenomena in Mesoscopic Systems by B. Altshuler,A. Tagliacozzo,V. Tognetti Pdf

This book is a snapshot of the vision shared by outstanding scientists on the key theoretical and experimental issues in Mesoscopic Physics. Quantum properties of electrons in solid state devices and transport in semiconducting and superconducting low-dimensional systems, are discussed, as well as the basis of quantum computing (entanglement, noise decoherence and read-out). Each chapter collects the material presented at a Varenna School course of last year, by leading experts in the field. The reader gets a flavor, how theorists and experimentalists are paving the way to the physical realization of solid state qubits, the basic units of the new logic and memory elements for quantum processing. He will be surprised in finding that mesoscopic solid state devices, which were invented just yesterday ( think of the Single Electron Transistor, or the Cooper Pair Box) are currently used as charge-sensing applications in the equipment of frontier research laboratories. These devices contribute as probing systems to produce evidence on still unsettled questions in topics like the metal-insulator transition in disordered two dimensional systems, quantum Hall conductance in heterostructures, or Kondo conductance in quantum dots.

Author : Yoshimasa Murayama
Publisher : Wiley-VCH
Page : 253 pages
File Size : 40,7 Mb
Release : 2001-12-05
Category : Science
ISBN : 3527293760

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Mesoscopic Systems by Yoshimasa Murayama Pdf

Future high-tech applications such as nanotechnology require a deep understanding of the physics of mesoscopic systems. These systems form a bridge between macroscopic systems governed by classical physics and microscopic systems governed by quantum physics. This introduction discusses a variety of typical surface, optical, transport, and magnetic properties of mesoscopic systems with reference to many experimental observations. It is written for physicists, materials scientists and engineers who want to stay abreast of current research or high-tech development.

Author : Supriyo Datta
Publisher : Cambridge University Press
Page : 398 pages
File Size : 45,6 Mb
Release : 1997-05-15
Category : Science
ISBN : 0521599431

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Electronic Transport in Mesoscopic Systems by Supriyo Datta Pdf

A thorough account of the theory of electronic transport in semiconductor nanostructures.

Author : Yoshimasa Murayama
Publisher : John Wiley & Sons
Page : 253 pages
File Size : 44,5 Mb
Release : 2008-09-26
Category : Science
ISBN : 9783527618033

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Mesoscopic Systems by Yoshimasa Murayama Pdf

Future high-tech applications such as nanotechnology require a deep understanding of the physics of mesoscopic systems. These systems form a bridge between macroscopic systems governed by classical physics and microscopic systems governed by quantum physics. This introduction discusses a variety of typical surface, optical, transport, and magnetic properties of mesoscopic systems with reference to many experimental observations. It is written for physicists, materials scientists and engineers who want to stay abreast of current research or high-tech development.

Author : Wiley Kirk
Publisher : Academic Press
Page : 566 pages
File Size : 51,6 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323145831

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Nanostructures and Mesoscopic systems by Wiley Kirk Pdf

Nanostructures and Mesoscopic Systems presents the proceedings of the International Symposium held in Santa Fe, New Mexico on May 20-24, 1991. The book discusses nanostructure physics; nanostructures in motion; and advances in nanostructure fabrication. The text also describes ballistic transport and coherence; low-dimensional tunneling; and electron correlation and coulomb blockade. Banostructure arrays and collective effects; the theory and modeling of nanostructures; and mesoscopic systems are also encompassed. The book further tackles the optical properties of nanostructures.

Author : Daniel Waltner
Publisher : Springer Science & Business Media
Page : 186 pages
File Size : 46,9 Mb
Release : 2012-01-05
Category : Science
ISBN : 9783642245275

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Semiclassical Approach to Mesoscopic Systems by Daniel Waltner Pdf

This volume describes mesoscopic systems with classically chaotic dynamics using semiclassical methods which combine elements of classical dynamics and quantum interference effects. Experiments and numerical studies show that Random Matrix Theory (RMT) explains physical properties of these systems well. This was conjectured more than 25 years ago by Bohigas, Giannoni and Schmit for the spectral properties. Since then, it has been a challenge to understand this connection analytically. The author offers his readers a clearly-written and up-to-date treatment of the topics covered. He extends previous semiclassical approaches that treated spectral and conductance properties. He shows that RMT results can in general only be obtained semiclassically when taking into account classical configurations not considered previously, for example those containing multiply traversed periodic orbits. Furthermore, semiclassics is capable of describing effects beyond RMT. In this context he studies the effect of a non-zero Ehrenfest time, which is the minimal time needed for an initially spatially localized wave packet to show interference. He derives its signature on several quantities characterizing mesoscopic systems, e. g. dc and ac conductance, dc conductance variance, n-pair correlation functions of scattering matrices and the gap in the density of states of Andreev billiards.

Author : Hidetoshi Fukuyama,Tsuneya Ando
Publisher : Springer Science & Business Media
Page : 278 pages
File Size : 45,8 Mb
Release : 2013-03-08
Category : Technology & Engineering
ISBN : 9783642848186

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Transport Phenomena in Mesoscopic Systems by Hidetoshi Fukuyama,Tsuneya Ando Pdf

This volume contains the proceedings of the Fourteenth Thniguchi Symposium on the Theory of Condensed Matter, which was held from November 10 to 14, 1991, at the Shima Kanko Hotel, Shima, Japan. The topic of the symposium was Physics 0/ Mesoscopic Systems. Mesoscopic systems have been developed band in band with the recent progress in nanotechnology and are the melting pot of basic science and technology. In nanostructures, the quantum effect of the electron wave manifests itself because of the limited dimensionality of the structure. The most typical features of these structures are the discreteness of the energy spectrum and the interference effect of electron waves, which have led to various fascinating phenomena. The purpose of this symposium was to discuss the latest developments in mesoscopic systems, especially transport phenomena, from the viewpoint of basic physics. This volume starts with an introduction to the field of mesoscopic systems together with the paper by Prof. R. Kubo, who was the first to note the existence of particular features of discrete energy levels in small metallic particles. In Part II the electronic states of quantum dots and the conductance through them are discussed. Tunneling via small structures and junctions is studied in Part ill.

Author : N.E. Hurt
Publisher : Springer Science & Business Media
Page : 362 pages
File Size : 51,9 Mb
Release : 1997-02-28
Category : Mathematics
ISBN : 0792344596

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Quantum Chaos and Mesoscopic Systems by N.E. Hurt Pdf

4. 2 Variance of Quantum Matrix Elements. 125 4. 3 Berry's Trick and the Hyperbolic Case 126 4. 4 Nonhyperbolic Case . . . . . . . 128 4. 5 Random Matrix Theory . . . . . 128 4. 6 Baker's Map and Other Systems 129 4. 7 Appendix: Baker's Map . . . . . 129 5 Error Terms 133 5. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . 133 5. 2 The Riemann Zeta Function in Periodic Orbit Theory 135 5. 3 Form Factor for Primes . . . . . . . . . . . . . . . . . 137 5. 4 Error Terms in Periodic Orbit Theory: Co-compact Case. 138 5. 5 Binary Quadratic Forms as a Model . . . . . . . . . . . . 139 6 Co-Finite Model for Quantum Chaology 141 6. 1 Introduction. . . . . . . . 141 6. 2 Co-finite Models . . . . . 141 6. 3 Geodesic Triangle Spaces 144 6. 4 L-Functions. . . . . . . . 145 6. 5 Zelditch's Prime Geodesic Theorem. 146 6. 6 Zelditch's Pseudo Differential Operators 147 6. 7 Weyl's Law Generalized 148 6. 8 Equidistribution Theory . . . . . . . . . 150 7 Landau Levels and L-Functions 153 7. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . 153 7. 2 Landau Model: Mechanics on the Plane and Sphere. 153 7. 3 Landau Model: Mechanics on the Half-Plane 155 7. 4 Selberg's Spectral Theorem . . . . . . . . . . . 157 7. 5 Pseudo Billiards . . . . . . . . . . . . . . . . . 158 7. 6 Landau Levels on a Compact Riemann Surface 159 7. 7 Automorphic Forms . . . . . 160 7. 8 Maass-Selberg Trace Formula 162 7. 9 Degeneracy by Selberg. . . . 163 7. 10 Hecke Operators . . . . . . . 163 7. 11 Selberg Trace Formula for Hecke Operators 167 7. 12 Eigenvalue Statistics on X . . . . 169 7. 13 Mesoscopic Devices. . . . . . . . 170 7. 14 Hall Conductance on Leaky Tori 170 7.

Author : Pier A. Mello,Narendra Kumar
Publisher : Oxford University Press
Page : 128 pages
File Size : 49,5 Mb
Release : 2004-05-20
Category : Science
ISBN : 9780191523496

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Quantum Transport in Mesoscopic Systems by Pier A. Mello,Narendra Kumar Pdf

The aim of this book is to present a statistical theory of wave scattering by complex systems -systems which have a chaotic classical dynamics, as in the case of microwave cavities and quantum dots, or possess quenched randomness, as in the case of disordered conductors— with emphasis on mesoscopic fluctuations. The universal character of the statistical behavior of these phenomena is incorporated in a natural way by approaching the problem from a Maximum-Entropy viewpoint -Shannon's information entropy is maximized, subject to the symmetries and constraints that are physically relevant— within the powerful, non-perturbative Theory of Random Matrices. This is a distinctive feature of the present book that greatly motivated our writing it. Another reason is that it collects in one place the material and notions -derived from the published work of the authors in collaboration with several co-workers, as well as from the work of others— which are scattered through research journals and textbooks on the subject. To make the book self-contained, we present in Chapters 2 and 3 the quantum theory of scattering, set in the context of quasi-one-dimensional, multichannel systems, thus related directly to scattering problems in mesoscopic physics. Chapter 4 discusses the linear-response theory of quantum electronic transport, adapted to the context of mesoscopic systems. These chapters, together with Chapter 5 on the Maximum-Entropy Approach and Chapter 8 on weak localization, have been written in a pedagogical style, and can be used as part of a graduate course. Chapters 6 and 7 discuss the problem of electronic transport through classically chaotic cavities and quasi-one-dimensional disordered systems. There are many exercises, most of them worked out in detail, distributed throughout the book. This should help graduate students, their teachers and the research scholars interested generally in the subject of quantum transport through disordered and chaotic systems in their preparation for it, and beyond.

Author : Thierry Martin,Gilles Montambaux,J. Thanh Van Tran
Publisher : Atlantica Séguier Frontières
Page : 574 pages
File Size : 40,7 Mb
Release : 1996
Category : Condensed matter
ISBN : 286332201X

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Correlated Fermions and Transport in Mesoscopic Systems by Thierry Martin,Gilles Montambaux,J. Thanh Van Tran Pdf

Author : D. Reguera,G. Platero,L.L. Bonilla,J.M. Rubi
Publisher : Springer
Page : 360 pages
File Size : 45,6 Mb
Release : 2008-01-11
Category : Science
ISBN : 9783540455578

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Statistical and Dynamical Aspects of Mesoscopic Systems by D. Reguera,G. Platero,L.L. Bonilla,J.M. Rubi Pdf

Initially a subfield of solid state physics, the study of mesoscopic systems has evolved over the years into a vast field of research in its own right. Keeping track its rapid progress, this book provides a broad survey of the latest developments in the field. The focus is on statistics and dynamics of mesoscopic systems with special emphasis on topics like quantum chaos, localization, noise and fluctuations, mesoscopic optics and quantum transport in nanostructures. Written with nonspecialists in mind, this book will also be useful to graduate students wishing to familiarize themselves with this field of research.

Author : Renato Fedele,Salvatore De Martino,Silvio De Siena,S De Nicola,Gennaro Miele
Publisher : World Scientific
Page : 335 pages
File Size : 42,9 Mb
Release : 1997-10-22
Category : Electronic
ISBN : 9789814545709

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New Perspectives In The Physics Of Mesoscopic Systems: Quantum-like Descriptions And Macroscopic Cohe by Renato Fedele,Salvatore De Martino,Silvio De Siena,S De Nicola,Gennaro Miele Pdf

The very fast progress registered during the last few decades in physics has clearly shown the great necessity to give an interdisciplinary character to the scientific programs. This has made the intersection between different branches of physics more and more important. This volume contains theoretical and experimental results concerning the relationships among quantum-like models, macroscopic coherence and stochastic mechanics. The wide range of topics, covering particle accelerator physics, plasma physics, quantum optics, superconductivities and mesoscopic gravitation, is presented from a cross-disciplinary point of view.

Author : Anthony Leggett,Berardo Ruggiero,Paolo Silvestrini
Publisher : Springer Science & Business Media
Page : 264 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781441990921

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Quantum Computing and Quantum Bits in Mesoscopic Systems by Anthony Leggett,Berardo Ruggiero,Paolo Silvestrini Pdf

Quantum information science is a new field of science and technology which requires the collaboration of researchers coming from different fields of physics, mathematics, and engineering: both theoretical and applied. Quantum Computing and Quantum Bits in Mesoscopic Systems addresses fundamental aspects of quantum physics, enhancing the connection between the quantum behavior of macroscopic systems and information theory. In addition to theoretical quantum physics, the book comprehensively explores practical implementation of quantum computing and information processing devices. On the experimental side, this book reports on recent and previous observations of quantum behavior in several physical systems, coherently coupled Bose-Einstein condensates, quantum dots, superconducting quantum interference devices, Cooper pair boxes, and electron pumps in the context of the Josephson effect. In these systems, the book discusses all required steps, from fabrication through characterization to the final basic implementation for quantum computing.