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