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Introduction to Mesoscopic Physics

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ISBN-10: 0195101677

ISBN-13: 9780195101676

Edition: 1997

Authors: Joseph Imry

List price: $55.00
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"Mesoscopic physics" refers to the physics of structures larger than a nanometer (one billionth of a meter) but smaller than a micrometer (one millionth of a meter). This size range is the stage on which the exciting new research on submicroscopic and electronic and mechanical devices is being done. This research often crosses the boundary between physics and engineering, since engineering such tiny electronic components (as many as one million transistors can be fitted onto a single chip) requires a firm grasp of quantum physics. Applications for the future may include such wonders as microscopic robot surgeons that will travel through the blood stream to repair clogged arteries;…    
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Book details

List price: $55.00
Copyright year: 1997
Publisher: Oxford University Press, Incorporated
Publication date: 2/13/1997
Binding: Hardcover
Pages: 248
Size: 6.10" wide x 9.29" long x 0.79" tall
Weight: 1.254
Language: English

Introduction and a Brief Review of Experimental Systems
Generalities
A Brief Description of Systems and Fabrication Methods
Quantum Transport, Anderson Localization
Basic Concepts
Localization ideas
Thermally Activated Conduction in the Localized Regime
The Thouless Picture, Localization in Thin Wires and Finite Temperature Effects
The Scaling Theory of Localization and its Consequences
General
The case d [less than or equal] 2
The case d ] 2, the metal-insulator (M-I) transition
The Weakly Localized Regime
Dephasing by Coupling with the Environment, Application to Coulomb Electron-Electron Interactions in Metals
Introduction and Review of the Principles of Dephasing
Dephasing by the Electron-Electron Interaction
Review of Results in Various Dimensions
Dephasing Time vs. Electron-Electron Scattering Time
Mesoscopic Effects in Equilibrium and Static Properties
Introductory Remarks, Thermodynamic Fluctuation Effects
Quantum Interference in Equilibrium Properties, Persistent Currents
Generalities, simple situations
Independent electrons in disordered systems
The semiclassical picture
General results on ensemble-averaged persistent currents for constant N
Semiclassical theory of spectral correlations, applications to rings
Interaction effects on the persistent currents
Quantum Interference Effects in Transport Properties, the Landauer Formulation and Applications
Generalities, Remarks on the Kubo Conductivity for Finite Systems
The Landauer-type Formulation for Conductance in a Mesoscopic System and Some of its Generalizations
Introduction: the "single-channel" case
The multichannel Landauer formulation
The Onsager-type relationship in a magnetic field: generalized multiterminal conductance formulas
Applications of the Landauer Formulation
Series addition of quantum resistors, 1D localization
Parallel addition of quantum resistors, A-B oscillations of the conductance
On the universality of the conductance fluctuations
The Quantum Hall Effect (QHE)
Introduction
General Arguments
Localization in Strong Magnetic Fields and the QHE
Brief Remarks on the Fractional Quantum Hall Effect (FQHE)
Mesoscopics with Superconductivity
Introduction
Superconducting Rings and Thin Wires
Weakly Coupled Superconductors, the Josephson Effect and SNS Junctions
The Bloch picture
The Josephson junction and other weak links
Brief Remarks on Vortices
The Andreev Reflection, More on SN and SNS Junctions
Noise in Mesoscopic Systems
Introduction
Shot Noise for "Radiation" from a Reservoir
The Effect of Fluctuations in the Sink, the Equilibrium Limit
Low-Frequency (1-f) Noise
Concluding Remarks
Appendices
The Kubo, Linear Response, Formulation
The Kubo-Greenwood Conductivity and the Edwards-Thouless Relationships
The Aharonov-Bohm Effect and the Byers-Yang and Bloch Theorem
Derivation of Matrix Elements in the Diffusion Regime
Careful Treatment of Dephasing in 2D Conductors at Low Temperatures
Anomalies in the Density of States (DOS)
Quasiclassical Theory of Spectral Correlations
Details of the Four-Terminal Formulation
Universality of the Conductance Fluctuations in Terms of the Universal Correlation of Transmission Eigenvalues
The Conductance of Ballistic "Point Contacts"
References
Index