One-dimensional superconductivity in nanowires [Book] / Fabio Altomare and Albert M. Chang.

OneDimensional Superconductivity in Nanowires; Contents; Preface; Abbreviations and Symbols; Color Plates; Part One Theoretical Aspects of Superconductivity in 1D Nanowires; 1 Superconductivity: Basics and Formulation; 1.1 Introduction; 1.2 BCS Theory; 1.3 Bogoliubov-de Gennes Equations -- Quasiparticle Excitations; 1.4 Ginzburg-Landau Theory; 1.4.1 Time-Dependent Ginzburg-Landau Theory; 1.5 Gorkov Green's Functions, Eilenberger-Larkin-Ovchinnikov Equations, and the Usadel Equation; 1.6 Path Integral Formulation; References; 2 1D Superconductivity: Basic Notions; 2.1 Introduction.

2.2 Shape Resonances -- Oscillations in Superconductivity Properties2.2.1 Early Treatments of Shape Resonances in 2D Films; 2.2.2 Bogoliubov-de Gennes Equations, Finite Temperature, and Parabolic-Band Approximation for Realistic Materials; 2.2.3 Numerical Solutions and Thin Film Shape Resonances; 2.2.4 1D Nanowires -- Shape Resonances and Size Oscillations; 2.3 Superconductivity in Carbon Nanotubes -- Single-Walled Bundles and Individual Multiwalled Nanotubes; 2.4 Phase Slips; 2.4.1 Finite Voltage in a Superconducting Wire and Phase Slip; 2.4.2 Phase Slip in a Josephson Junction.

2.4.3 Langer-Ambegaokar Free Energy Minima in the Ginzburg-Landau Approximation2.4.4 Transition Rate and Free Energy Barrier; 2.4.5 Free Energy Barrier for a Phase Slip in the Ginzburg-Landau Theory; 2.4.6 Physical Scenario of a Thermally-Activated Phase Slip; 2.4.7 McCumber-Halperin Estimate of the Attempt Frequency; References; 3 Quantum Phase Slips and Quantum Phase Transitions; 3.1 Introduction; 3.2 Zaikin-Golubev Theory; 3.2.1 Derivation of the Low Energy Effective Action; 3.2.2 Core Contribution to the QPS Action; 3.2.3 Hydrodynamic Contribution to the Phase-Slip Action.

3.2.4 Quantum Phase-Slip Rate3.2.5 Quantum Phase-Slip Interaction and Quantum-Phase Transitions; 3.2.6 Wire Resistance and Nonlinear Voltage-Current Relations; 3.3 Short-Wire Superconductor-Insulator Transition: Büchler, Geshkenbein and Blatter Theory; 3.4 Refael, Demler, Oreg, Fisher Theory -- 1D Josephson Junction Chains and Nanowires; 3.4.1 Discrete Model of 1D Josephson Junction Chains; 3.4.2 Resistance of the Josephson Junctions and the Nanowire; 3.4.3 Mean Field Theory of the Short-Wire SIT; 3.5 Khlebnikov-Pryadko Theory -- Momentum Conservation.

3.5.1 Gross-Pitaevskii Model and Quantum Phase Slips3.5.2 Disorder Averaging, Quantum Phase Transition and Scaling for the Resistance and Current-Voltage Relations; 3.5.3 Short Wires -- Linear QPS Interaction and Exponential QPS Rate; 3.6 Quantum Criticality and Pair-Breaking -- Universal Conductance and Thermal Transport in Short Wires; References; 4 Duality; 4.1 Introduction; 4.2 Mooij-Nazarov Theory of Duality -- QPS Junctions; 4.2.1 QPS Junction Voltage-Charge Relationship and Shapiro Current Steps; 4.2.2 QPS Qubits.

Available to OhioLINK libraries.

Devoted to the topic of superconductivity in very narrow metallic wires, the goal of this book is to produce a relatively self-contained introduction to the theoretical, experimental and phenomenological aspects of the 1-dimensional superconducting nanowire system.

Description based on print version record.