Andreev reflection in superconducting junctions
Author(s)
Bibliographic Information
Andreev reflection in superconducting junctions
（SpringerBriefs in Physics）
Springer, c2021
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
This book offers a primer on the fundamental theory of Andreev reflection, a fundamental process in the motion of a Cooper pair, which dominates low-energy electronic transport properties in superconductor junctions including differential conductance and Josephson current. The book concisely describes how Andreev reflection impacts the low-energy physics of electronic transport especially in topologically non-trivial superconductor junctions. In addition, it includes an introduction to topological superconductors, covering topological classification, chiral and helical superconductors, and topological edges.
The book is based on the author's lecture notes, used in his intensive lectures and while supervising his upper undergraduate and early graduate students. To fully benefit from this concise primer, readers only need an undergraduate background in quantum mechanics and statistical mechanics. Further, by highlighting Josephson junctions of topological superconductors, the book offers readers a glimpse into cutting-edge topics.
Table of Contents
Chapter 1: Introduction
1.1 Scope of this Book
1.2 Overview of Superconducting Phenomena
Chapter 2: Theoretical tool
2.1 Harmonic Oscillator
2.2 Free Electrons in a Metal
2.3 Coherent State
Chapter 3: Mean-field theory of superconductivity
3.1 Pairing Hamiltonian
3.2 Mean-Field Approximation
3.3 Gap Equation and Thermodynamic Properties
3.4 Cooper Pair
3.5 Magnetic Properties
Chapter 4: Andreev reflection
4.1 Conductance in an NS Junction
4.2 Retroreflectivity
4.3 Josephson Current in an SIS Junction
Chapter 5: Unconventional superconductors
5.1 Conductance in a NS Junction
5.2 Surface Andreev Bound States
5.3 Josephson Current in an SIS Junction
5.4 Andreev Bound States in an SIS Junction
5.5 Topological Classification
Chapter 6: Various Josephson junctions
6.1 Singlet-Singlet Junction
6.2 Triplet-Triplet Junction
6.3 Singlet-Triplet Junction
6.4 Chiral Superconductor
6.5 Helical Superconductor
Chapter 7: Proximity Effect
7.1 A Cooper Pair in a Clean Metal
7.2 Andreev Reflection and Diffusive Motion
7.3 Anomalous Proximity Effect
by "Nielsen BookData"
