Shortcut to Superconductivity: Superconducting Electronics via COMSOL Modeling

by Armen Gulian

Chapter 1. What is superconductivity 1. How to handle zero resistance/infinite conductivity? 2. Londons' approach Problems in Section 2 (all problems here and below with solutions, almost all of them also have hints): 1. Describe penetration of magnetic field into superconductor. 2. Prove that screening of magnetic field in superconductors occurs at shortest possible distance. 3. Estimate the characteristic length of magnetic field penetration into the bulk superconductor. 3. Ginzburg-Landau approach Problem in Section 3: 1. Find out what is the difference between Cooper condensate and Bose condensate. 4. Josephson effects Problem in Section 4: 1. What will happen if constant voltage is applied to superconducting junctions? 5. SQUIDs Problems in Section 5: 1. Consider a hollow superconducting cylinder, and prove that magnetic flux is quantized in it. 2. When the flux is not quantized? 6. Time-dependent Ginzburg-Landau theory Problems in Section 5: 1. Using COMSOL Multiphysics, consider penetration of magnetic field into a thin superconducting disk. 2. Explore this phenomenon Using COMSOL and realize existence of two types of superconductors. 3. Using COMSOL, consider the flow of current through a thin superconducting discover oscillatory regime of the current flow and explore it. 4. Using COMSOL, consider the flow of current through a thin superconducting observe annihilation of Abrikosov vortices and anti-vorticies. Chapter 2. BCS-Gor'kov approach to equilibrium properties of superconductors Chapter 3. Green's function formalism in nonequilibrium case Chapter 4. Derivation of kinetic equations for nonequilibrium superconductors Chapter 5. Superconducting lasers Chapter 6. Cooling by heating Chapter 7. Derivation of time-dependent Ginzburg-Landau equations

296 pages, Paperback

Published July 16, 2020