Introduction to Superconductivity  
 

Textbook: Michael Tinkham, Introduction to Superconductivity, 2nd Edition, 1996 , ISBN-13: 978-0486435039

Outline

1. Introduction, elementary phenomenology

bulletDefining properties of the superconductor: ideal conductivity, Meissner effect
bulletMagnetic properties of Type I superconductors, superconducting ellipsoid in a static magnetic field, thermodynamic critical field, transition state
bulletLondon equations, magnetic penetration depth, two-fluid model, high-frequency electrodynamics

2. Bardeen-Cooper-Schrieffer theory

bulletCooper problem, BCS ground state, symmetry breaking, origin of the attractive interaction
bulletBogolyubov transformation, properties of quasiparticle excitations
bulletBCS state at finite temperature, critical temperature, temperature dependence of the order parameter and of the specific heat
bulletTransport by quasiparticles, coherence effects
bulletMeissner effect, electrodynamic kernel, BCS coherence length

3. Ginzburg-Landau theory

bulletGL free energy and GL equations, GL coherence length
bulletCalculation of the SC–normal domain wall energy, Type I and Type II superconductors
bulletFlux quantization, fluxoid quantization
bulletSolution of the linearized GL equation it Type II superconductors, Abrikosov vortex lattice
bulletMagnetic properties of Type II superconductors, upper and lower critical fields, flux flow resistivity, flux pinning

4. Josephson theory

bulletJosephson junction, Josephson equations, dc and ac Josephson effects
bulletResistively and capacitively shunted Josephson junction, washboard model, Shapiro steps
bulletPrinciple and applications of SQUID's
bulletPhase qubit for quantum computing

5. Some topics in unconventional superconductivity

bulletHigh-Tc cuprate superconductors: discovery, structure, universal phase diagram, d-wave pairing
bulletOrganic superconductors, iron pnictide superconductors, superconductivity in some hydrogen rich materials