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One-Dimensional Superconductivity in Nanowires: InhaltsangabePreface XIAbbreviations and Symbols XVColor Plates XXIPart One Theoretical Aspects of Superconductivity in 1D Nanowires 11 Superconductivity: Basics and Formulation 31.1 Introduction 31.2 BCS Theory 41.3 Bogoliubov&ndash de Gennes Equations &ndash Quasiparticle Excitations 81.4 Ginzburg&ndash Landau Theory 101.4.1 Time-Dependent Ginzburg&ndash Landau Theory 121.5 Gorkov Green&rsquo s Functions, Eilenberger&ndash Larkin&ndash Ovchinnikov Equations, and the Usadel Equation 121.6 Path Integral Formulation 19References 272 1D Superconductivity: Basic Notions 312.1 Introduction 312.2 Shape Resonances &ndash Oscillations in Superconductivity Properties 332.2.1 Early Treatments of Shape Resonances in 2D Films 352.2.2 Bogoliubov&ndash de Gennes Equations, Finite Temperature, and Parabolic-Band Approximation for Realistic Materials 402.2.3 Numerical Solutions and Thin Film Shape Resonances 422.2.4 1D Nanowires &ndash Shape Resonances and Size Oscillations 452.3 Superconductivity in Carbon Nanotubes &ndash Single-Walled Bundles and Individual Multiwalled Nanotubes 482.4 Phase Slips 502.4.1 Finite Voltage in a SuperconductingWire and Phase Slip 512.4.2 Phase Slip in a Josephson Junction 522.4.3 Langer&ndash Ambegaokar Free Energy Minima in the Ginzburg&ndash Landau Approximation 552.4.4 Transition Rate and Free Energy Barrier 592.4.5 Free Energy Barrier for a Phase Slip in the Ginzburg&ndash Landau Theory 602.4.6 Physical Scenario of a Thermally-Activated Phase Slip 642.4.7 McCumber&ndash Halperin Estimate of the Attempt Frequency 66References 713 Quantum Phase Slips and Quantum Phase Transitions 753.1 Introduction 753.2 Zaikin&ndash Golubev Theory 793.2.1 Derivation of the Low Energy Effective Action 803.2.2 Core Contribution to the QPS Action 883.2.3 Hydrodynamic Contribution to the Phase-Slip Action 913.2.4 Quantum Phase-Slip Rate 923.2.5 Quantum Phase-Slip Interaction and Quantum-Phase Transitions 953.2.6 Wire Resistance and Nonlinear Voltage&ndash Current Relations 973.3 Short-Wire Superconductor&ndash Insulator Transition: B&uuml chler, Geshkenbein and Blatter Theory 1003.4 Refael, Demler, Oreg, Fisher Theory &ndash 1D Josephson Junction Chains and Nanowires 1053.4.1 Discrete Model of 1D Josephson Junction Chains 1073.4.2 Resistance of the Josephson Junctions and the Nanowire 1143.4.3 Mean Field Theory of the Short-Wire SIT 1163.5 Khlebnikov&ndash Pryadko Theory &ndash Momentum Conservation 1213.5.1 Gross&ndash Pitaevskii Model and Quantum Phase Slips 1233.5.2 Disorder Averaging, Quantum Phase Transition and Scaling for the Resistance and Current&ndash Voltage Relations 1263.5.3 ShortWires &ndash Linear QPS Interaction and Exponential QPS Rate 1303.6 Quantum Criticality and Pair-Breaking &ndash Universal Conductance and Thermal Transport in Short Wires 136References 1434 Duality 1494.1 Introduction 1494.2 Mooij&ndas Part Two Review of Experiments on 1D Superconductivity 1936 Experimental Technique for Nanowire Fabrication 1956.1 Experimental Technique for the Fabrication of Ultra Narrow Nanowires 1956.2 Introduction to the Techniques 1966.2.1 Lithography 1976.2.2 Metal Deposition 1986.2.3 Etching 1996.2.4 Putting It All Together 1996.3 Step-Edge Lithographic Technique 2016.4 Molecular Templating 2026.5 Semiconducting Stencils 2056.6 Natelson and Willet 2056.7 SNAP Technique 2066.8 Chang and Altomare 2086.9 Template Synthesis 2096.10 Other Methods 2116.10.1 Ion Beam Polishing 2116.10.2 Angled Evaporation 2136.10.3 Resist Development 2136.11 Future Developments 214References 2167 Experimental Review of Experiments on 1D Superconducting Nanowires 2197.1 Introduction 2197.2 Filtering 2207.3 Phase Slips 2217.4 Overview of the Experimental Results 2237.4.1 Giordano&rsquo s Experiments 2257.4.2 Recent Experiments on QPS 2267.4.3 QPS Probed via Switching Current Measurements 2397.5 Other Effects in 1D Superconducting Nanowires 2487.5.1 S-Shaped Current&ndash Voltage Characteristic 2487.6 Antiproximity Effect 2507.6.1 Stabilization of Superconductivity by a Magnetic Field 2537.6.2 Shape Resonance Effects 255References 2578 Coherent Quantum Phase Slips 2638.1 Introduction 2638.2 A Single-Charge Transistor Based on the Charge-Phase Duality of a Superconducting Nanowire Circuit 2638.3 Quantum Phase-Slip Phenomenon in Ultranarrow Superconducting Nanorings 2668.4 Coherent Quantum Phase Slip 2678.5 Conclusion 272References 2739 1D Superconductivity in a Related System 2759.1 Introduction 2759.2 Carbon Nanotubes 2759.2.1 Proximity Effects in SWNT 2769.2.2 Intrinsic Superconductivity in SWNT 2789.2.3 Superconductivity in Ropes Mediated by the Environment 2819.3 Majorana Experiments 2869.3.1 Majorana Experiment in Semiconducting Nanowires 2869.3.2 Majorana Experiment in Hybrid Superconductor-Topological Insulator Devices 2909.4 Superconducting Nanowires as Single-Photon Detectors 292References 29710 Concluding Remarks 301Index 303, Englisch, Ebook.

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