Introduction to mesoscopic physics / Yoseph Imry.

Format:

• Book

Author/Creator:

• Imry, Yoseph.

Series:

• Mesoscopic physics and nanotechnology ; 2.
• Mesoscopic physics and nanotechnology ; 2

Language:

English

Subjects (All):

• Mesoscopic phenomena (Physics).

Physical Description:

xiii, 236 pages : illustrations ; 24 cm.

Edition:

Second edition.

Place of Publication:

Oxford ; New York : Oxford University Press, 2002.

Contents:

• 1 Introduction and a Brief Review of Experimental Systems 1
• 2 A Brief Description of Systems and Fabrication Methods 4
• 2 Quantum Transport, Anderson Localization 9
• 1.1 Localization Ideas 11
• 2 Thermally Activated Conduction in the Localized Regime 15
• 3 The Thouless Picture, Localization in Thin Wires and Finite Temperature Effects 17
• 4 The Scaling Theory of Localization and its Consequences 21
• 4.2 The Case d [less than or equal] 2 23
• 4.3 The Case d > 2, the M-I Transition 24
• 5 The Weakly Localized Regime 29
• 3 Dephasing by Coupling with the Environment, Application to Coulomb Electron-Electron Interactions in Metals 32
• 1 Introduction and Review of the Principles of Dephasing 32
• 2 Dephasing by the Electron-Electron Interaction 40
• 3 Review of Results in Various Dimensions 45
• 4 Dephasing Time vs. Electron-Electron Scattering Time 50
• 5 A Useful Expression for the Dephasing Rate and a Discussion of the T [right arrow] 0 Limit 53
• 4 Mesoscopic Effects in Equilibrium and Static Properties 58
• 1 Introductory Remarks, Thermodynamic Fluctuation Effects 58
• 2 Quantum Interference in Equilibrium Properties, Persistent Currents 62
• 2.1 Generalities, Simple Situations 62
• 2.2 Independent Electrons in Disordered Systems 68
• 2.3 The Semiclassical Picture 72
• 2.4 General Results on Ensemble-averaged Persistent Currents for Constant N 76
• 2.5 Semiclassical Theory of Spectral Correlations, Applications to Rings 78
• 2.6 Interaction Effects on the Persistent Currents 80
• 5 Quantum Interference Effects in Transport Properties, the Landauer Formulation and Applications 84
• 1 Generalities, Remarks on the Kubo Conductivity for Finite Systems 84
• 2 The Landauer-type Formulation for Conductance in a Mesoscopic System and Some of its Generalizations 87
• 2.1 Introduction: The "Single-channel" Case 87
• 2.2 The Multichannel Landauer Formulation 90
• 2.3 The Onsager-type Relationship in a Magnetic Field: Generalized Multiterminal Conductance Formulas 97
• 3 Applications of the Landauer Formulation 100
• 3.1 Series Addition of Quantum Resistors, 1D Localization 100
• 3.2 Parallel Addition of Quantum Resistors, A-B Oscillations of the Conductance 103
• 3.3 On the Universality of the Conductance Fluctuations 112
• 6 The Quantum Hall Effect 116
• 2 General Arguments 121
• 3 Localization in Strong Magnetic Fields and the QHE 125
• 4 Brief Remarks on the Fractional Quantum Hall Effect (FQHE) 129
• 7 Mesoscopics with Superconductivity 137
• 2 Superconducting Rings and Thin Wires 140
• 3 Weakly Coupled Superconductors, the Josephson Effect and SNS Junctions 149
• 3.1 The Bloch Picture 149
• 3.2 The Josephson Junction and Other Weak Links 151
• 4 Brief Remarks on Vortices 154
• 5 The Andreev Reflection, More on SN and SNS Junctions 155
• 8 Noise in Mesoscopic Systems 164
• 2 Shot-Noise for "Radiation" from a Reservoir 166
• 3 Low-Frequency (1/f) Noise 169
• 4 Quantum Theory of Noise Correlators 173
• 4.1 Introduction and Generalities 173
• 4.2 Thermal Flows Between Coupled Systems 175
• 4.3 An Antenna Coupled to an EM Field with an Arbitrary Number of Photons 176
• 4.4 The Detection of Quantum Noise 176
• 4.5 Derivation of the Basic Noise Results in the Quantum Domain 177
• A The Kubo, Linear Response, Formulation 191
• B The Kubo-Greenwood Conductivity and the Edwards-Thouless Relationships 194
• C The Aharonov-Bohm Effect and the Byers-Yang and Bloch Theorem 195
• D Derivation of Matrix Elements in the Diffusion Regime 196
• E A more Careful Treatment of Dephasing in 2D Conductors at Low Temperatures 197
• F Anomalies in the Density of States (DOS) 198
• G Quasiclassical Theory of Spectral Correlations 200
• H Details of the Four-Terminal Formulation 202
• I Universality of the conductance Fluctuations in Terms of the Universal Correlation of Transmission Eigenvalues 203
• J The Conductance of Ballistic "Point Contacts" 205.

Notes:

Includes bibliographical references (pages [206]-233) and index.

ISBN:

0198507380

OCLC:

47283390