Fluctuations and localization in mesoscopic electron systems / Martin Janssen.

Format:

Book

Author/Creator:

Janssen, M. (Martin)

Series:

World Scientific lecture notes in physics ; v. 64.

World Scientific lecture notes in physics ; v. 64

Language:

English

Subjects (All):

Fluctuations (Physics).

Quantum theory.

Mesoscopic phenomena (Physics).

Physical Description:

xii, 205 pages : illustrations ; 23 cm.

Other Title:

Fluctuations and localization

Place of Publication:

Singapore ; River Edge, N.J. : World Scientific, [2001]

Summary:

This book covers quantum mechanics in macroscopic systems, focusing on quantum fluctuations and localization by quantum interference. Based on elementary quantum and statistical physics, the book points to the universal characteristics of fluctuations and the localization mechanism. General concepts and methods are stressed, such as scaling laws for distribution functions. Early chapters give a broad overview of phenomena and offer qualitative explanations with little formalism. Later chapters offer a systematic approach to modeling and transport theory in mesoscopics, covering localized and delocalized systems, corrections at finite conductances, finite size scaling, and real- space normalization. Janssen is affiliated with Ruhr-Universitat Bochum, Germany. Annotation copyrighted by Book News Inc., Portland, OR.

Contents:

Chapter 2 Experimental Facts 11

2.1 Aharonov-Bohm Effect 12

2.2 Conductance Fluctuations 13

2.3 Localization 15

2.4 Quantum Hall Effects 19

2.5 Quantum Dots 31

Chapter 3 Basic Theoretical Models and Tools 39

3.1 Relevant Scales and Observables 39

3.2 The Independent Electron Approximation 49

3.3 Model Hamiltonian and Green's Function 54

3.4 Disorder Diagrams and Field Theory 59

3.5 Scattering Matrix Modeling 77

3.6 Fokker-Planck Equations 95

Chapter 4 Idealized Systems 103

4.1 Localized Systems 105

4.2 Delocalized Systems 107

4.3 Random Matrices and Symmetry 111

Chapter 5 Towards Realistic Systems 117

5.1 Concept of Scaling 117

5.2 Distributions and Typical Values 127

5.3 Corrections at Finite Conductances 136

5.4 Quasi-One-Dimensional Systems 144

Chapter 6 The Localization-Delocalization Transition 153

6.1 Finite Size Scaling 153

6.2 Real-Space Renormalization 161

6.3 Multifractality of Critical States 165

6.4 Point-Contact Conductance 174

6.5 Order Parameter and Scaling Variable 182.

Notes:

Includes bibliographical references (pages 191-198) and index.

ISBN:

9810242093

OCLC:

47978870