Download or read book Electron Transport and Chaos in Model Mesoscopic Systems written by Thomas Ouchterlony and published by . This book was released on 2000 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Electronic Transport in Mesoscopic Systems written by Supriyo Datta and published by Cambridge University Press. This book was released on 1997-05-15 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Mesoscopic Electron Transport written by Lydia L. Sohn and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ongoing developments in nanofabrication technology and the availability of novel materials have led to the emergence and evolution of new topics for mesoscopic research, including scanning-tunnelling microscopic studies of few-atom metallic clusters, discrete energy level spectroscopy, the prediction of Kondo-type physics in the transport properties of quantum dots, time dependent effects, and the properties of interacting systems, e.g. of Luttinger liquids. The overall understanding of each of these areas is still incomplete; nevertheless, with the foundations laid by studies in the more traditional systems there is no doubt that these new areas will advance mesoscopic electron transport to a new phenomenological level, both experimentally and theoretically. Mesoscopic Electron Transport highlights selected areas in the field, provides a comprehensive review of such systems, and also serves as an introduction to the new and developing areas of mesoscopic electron transport.

Download or read book Mesoscopic Physics and Electronics written by Tsuneya Ando and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semiconductor technology has developed considerably during the past several decades. The exponential growth in microelectronic processing power has been achieved by a constant scaling down of integrated cir,cuits. Smaller fea ture sizes result in increased functional density, faster speed, and lower costs. One key ingredient of the LSI technology is the development of the lithog raphy and microfabrication. The current minimum feature size is already as small as 0.2 /tm, beyond the limit imposed by the wavelength of visible light and rapidly approaching fundamental limits. The next generation of devices is highly likely to show unexpected properties due to quantum effects and fluctuations. The device which plays an important role in LSIs is MOSFETs (metal oxide-semiconductor field-effect transistors). In MOSFETs an inversion layer is formed at the interface of silicon and its insulating oxide. The inversion layer provides a unique two-dimensional (2D) system in which the electron concentration is controlled almost freely over a very wide range. Physics of such 2D systems was born in the mid-1960s together with the development of MOSFETs. The integer quantum Hall effect was first discovered in this system.

Download or read book Electron Transport in Mesoscopic Systems written by and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Electron transport and optical properties in mesoscopic systems written by Anna Grincwajg and published by . This book was released on 1994 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Transport of Interacting Electrons in Mesoscopic Systems written by Theodorus H. Stoof and published by Coronet Books. This book was released on 1997 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Quantum versus Chaos written by K. Nakamura and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum and chaos, key concepts in contemporary science, are incompatible by nature. This volume presents an investigation into quantum transport in mesoscopic or nanoscale systems which are classically chaotic and shows the success and failure of quantal, semiclassical, and random matrix theories in dealing with questions emerging from the mesoscopic cosmos. These traditional theories are critically analysed, and this leads to a new direction. To reconcile quantum with chaos and to restore genuine temporal chaos in quantum systems, a time-discrete variant of quantum dynamics is proposed. Audience:This book will be of interest to graduate students and researchers in physics, chemistry and mathematics, whose work involves fundamental questions of quantum mechanics in chaotic systems.

Download or read book Conditional Statistics of Electron Transport in Mesoscopic Systems written by 林建宏 and published by . This book was released on 2008 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Directions In Condensed Matter Physics Memorial Volume In Honor Of Shang keng Ma written by Geoffrey Grinstein and published by World Scientific. This book was released on 1986-08-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects several in-depth articles giving lucid discussions on new developments in statistical and condensed matter physics. Many, though not all, contributors had been in touch with the late S-K Ma. Written by some of the world's experts and originators of new ideas in the field, this book is a must for all researchers in theoretical physics. Most of the articles should be accessible to diligent graduate students and experienced readers will gain from the wealth of materials contained herein.

Download or read book Quantum Transport in Mesoscopic Systems written by Pier A. Mello and published by Oxford University Press, USA. This book was released on 2004 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents the statistical theory of wave scattering and quantum transport in complex - chaotic and disordered - systems.

Download or read book Semiclassical Approach to Mesoscopic Systems written by Daniel Waltner and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Quantum Chaos and Mesoscopic Systems written by N.E. Hurt and published by Springer Science & Business Media. This book was released on 1997-02-28 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Fluctuations and Localization in Mesoscopic Electron Systems written by Martin Janssen and published by World Scientific. This book was released on 2001 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Contents: Experimental Facts; Basic Theoretical Models and Tools; Idealized Systems; Towards Realistic Systems; The Localization-Delocalization Transition. Readership: Condensed matter and theoretical physicists.

Download or read book Modeling Electronic Transport in Disordered Mesoscopic Systems written by Chenyi Zhou and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "The aim of this thesis is to extend the theoretical framework of nonequilibrium electronic transport to incorporate quantum effects in disordered mesoscopic systems. Our theoretical methods are developed based on the diagrammatic perturbation technique formulated with the Keldysh nonequilibrium Green's functions. Given the real-space Hamiltonian of the transport system together with thermal reservoir parameters, we seek to compute the electronic structure and the charge current taking the various quantum effects into account. Following this methodology, the three most important and ubiquitous disordered mesoscopic effects are addressed, viz. weak localization, energy relaxation, and the Altshuler-Aronov (AA) effect, all of which give rise to corrections to the classical Drude description of electronic transport. Specialized theoretical methods are developed for the respective physical effects. For weak localization we develop a Cooperon-based diagrammatic scheme using the so-called dual fermion (DF) technique in order to take into account nonlocal interference processes which have been neglected in the prevailing coherent potential approximation (CPA). Numerical simulations have shown that, compared to CPA, our DF method yields more accurate results for transport properties of disordered quantum wires, and that in particular it is able to predict the negative magnetoresistance effect which is a signature of weak localization. The energy relaxation in disordered interacting wires is tackled with a self-consistent GW-CPA scheme. Using this computational method we study how the energy distribution of interacting electrons evolves under increasing interaction and external field strengths. In addition, the same computational scheme is also employed to simulate the Coulomb drag effect between parallel quantum wires. The interesting dependence of nonequilibrium drag current on the chemical potentials of reservoirs is discussed. As to the AA effect, the original diagrammatic formulation by Altshuler and Aronov is generalized to the real-space Keldysh formalism. Then, both theoretical and numerical diagram calculations show that for a disordered wire at nonequilibrium the AA effect leads to anomalous DOS corrections at its respective Fermi energies, and that the magnitudes of these (local) DOS corrections are position-dependent. The AA effect on transport properties is also analyzed, which shows nontrivial behaviors with respect to system sizes and bias voltages"--

Download or read book Chaos Complexity And Transport Theory And Applications Proceedings Of The Cct 07 written by Xavier Leoncini and published by World Scientific. This book was released on 2008-05-27 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to provide the readers with a wide panorama of different aspects related to Chaos, Complexity and Transport. It consists of a collection of contributions ranging from applied mathematics to experiments, presented during the CCT'07 conference (Marseilles, June 4-8, 2007). The book encompasses different traditional fields of physics and mathematics while trying to keep a common language among the fields, and targets a nonspecialized audience.

Download or read book Statistical and Dynamical Aspects of Mesoscopic Systems written by D. Reguera and published by Springer. This book was released on 2008-01-11 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.