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This book describes manifestations of classical dynamics and chaos in the quantum properties of mesoscopic systems. During the last two decades mesoscopic physics has evolved into a rapidly progressing and exciting interdisciplinary field of physics. The first part of the book deals with integrable and chaotic classical dynamics with particular emphasis on the semiclassical description of spectral correlations, thermodynamic properties and linear response functions. The main part shows applications to prominent observables in the mesoscopic context.
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.
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.
Opening with a brief historical account of electron transport from Ohm's law through transport in semiconductor nanostructures, this book discusses topics related to electronic quantum transport. The book is written for graduate students and researchers in the field of mesoscopic semiconductors or in semiconductor nanostructures. Highlights include review of the cryogenic scanning probe techniques applied to semiconductor nanostructures.
A discussion of the fundamental changes that occur when dynamical systems from the fields of nonlinear optics, solids, hydrodynamics and biophysics are scaled down to nanosize. The authors are leading scientists in the field and each of their contributions provides a broader introduction to the specific area of research. In so doing, they include both the experimental and theoretical point of view, focusing especially on the effects on the nonlinear dynamical behavior of scaling, stochasticity and quantum mechanics. For everybody working on the synthesis and integration of nanoscopic devices who sooner or later will have to learn how to deal with nonlinear effects.
In the last two decades remarkable progress has been made in understanding and describing tunneling processes in complex systems in terms of classical trajectories. This book introduces recent concepts and achievements with particular emphasis on a dynamical formulation and relations to specific systems in mesoscopic, molecular, and atomic physics. Advanced instanton techniques, e.g. for decay rates and tunnel splittings, are discussed in the first part. The second part covers current developments for wave-packet tunneling in real-time, and the third part describes thermodynamics and dynamical approaches for barrier transmission in statistical, particularly dissipative systems.
These proceedings focus on aspects of disorder where quantum interferences are present. All recent developments in the field are covered, and the book is organized with particular attention to pedagogy. It includes both a description of the physical phenomena and a review of methods.
About three decades after the first experiments on deep inelastic lepton hadron scattering began to investigate the structure of hadrons, the history of this fruitful field of particle physics continues in the broad spectrum of research performed at the electron and positron proton collider HERA at DESY, where the multipurpose detectors ZEUS and H1 access ep scattering at a center of mass energy of 300 GeV and explore as yet uncharted kinematic realms of deep inelastic scattering. After the first years of data taking at HERA, each of the experiments has collected a total of roughly 40 pb 1 of e+p data, yielding sensitivity to deep inelastic e+p interactions at high four momentum transfers, Q2, where typi cal cross sections drop into the subpicobarn regime. This kinematic domain is characterized by electroweak unification, manifesting itself most markedly in the neutral and charged current cross sections, which approach an equal order of magnitude as Q2 rises above the square of the W and Z masses. Consequently, HERA allows, for the first time, studies of both types of pro cesses simultaneously with the same initial state conditions and in the same detector, and thus we can investigate the interplay of electroweak and strong forces governing the respective cross sections.
The interaction of electron beams with solid targets has been studied since the early part of the last century. Present interest is spurred on by the fundamental role played by the electron-solid interaction in - among other areas - scanning electron microscopy, electron-probe microanalysis and Auger electron spectroscopy. This book aims to investigate selected aspects of the interaction of electrons with matter (backscattering coefficient for bulk targets, absorption, backscattering and transmission for supported and unsupported thin films, implantation profiles, secondary electron emission and so on); to study the probabilistic laws of interaction of the individual electrons with the atoms (elastic and inelastic cross sections); to introduce the Monte Carlo method and its use for computing the macroscopic characteristics of the interaction processes. Each chapter compares theory, simulations and experimental data.