Fluctuations and localization in mesoscopic electron systems /

Fluctuations and localization in mesoscopic electron systems /

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Bibliographic Details
Author / Creator:Janssen, M. (Martin)
Imprint:Singapore ; River Edge, N.J. : World Scientific, ©2001.
Description:1 online resource (xii, 205 pages) : illustrations
Language:English
Series:World Scientific lecture notes in physics ; v. 64
World Scientific lecture notes in physics ; v. 64.
Subject:
Fluctuations (Physics)
Quantum theory.
Mesoscopic phenomena (Physics)
Fluctuations (Physics)
Mesoscopic phenomena (Physics)
Quantum theory.
Electronic book.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11178913
Hidden Bibliographic Details
Varying Form of Title:Fluctuations and localization
ISBN:9789812798923
9812798927
9789810242091
9810242093
Notes:Includes bibliographical references (pages 191-198) and index.
Print version record.
Summary: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.
Other form:Print version: Janssen, M. (Martin). Fluctuations and localization in mesoscopic electron systems. Singapore ; River Edge, N.J. : World Scientific, ©2001 9810242093 9789810242091
Table of Contents:
  • Ch. 1. Introduction
  • ch. 2. Experimental facts. 2.1. Aharonov-Bohm effect. 2.2. Conductance fluctuations. 2.3. Localization. 2.4. Quantum Hall effects. 2.5. Quantum dots
  • ch. 3. Basic theoretical models and tools. 3.1. Relevant scales and observables. 3.2. The independent electron approximation. 3.3. Model Hamiltonian and Green's function. 3.4. Disorder diagrams and field theory. 3.5. Scattering matrix modeling. 3.6. Fokker-Planck equations
  • ch. 4. Idealized systems. 4.1. Localized systems. 4.2. Delocalized systems. 4.3. Random matrices and symmetry
  • ch. 5. Towards realistic systems. 5.1. Concept of scaling. 5.2. Distributions and typical values. 5.3. Corrections at finite conductances. 5.4. Quasi-one-dimensional systems
  • ch. 6. The localization-delocalization transition. 6.1. Finite size scaling. 6.2. Real-space renormalization. 6.3. Multifractality of critical states. 6.4. Point-contact conductance. 6.5. Order parameter and scaling variable.

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