Notes

Current PJH-Vekhter manuscript  updated 9/30/25

Review: Notes on Fermi statistics, 2nd quantization, phonons

Lecture notes (condensed versions with material from lectures)  

• 22 August: Intro to course -- history & phenomenology of superconductors SLIDES 

• 25 August: Intro continued, phenomenology of SC, restrictions of Pauli principle NOTES  

• 27 August: Electron-phonon interaction & Cooper problem NOTES 

• 29 August: BCS Theory 1: BCS Hamiltonian and mean field theory NOTES 

• 1 September: Labor Day Holiday

• 3 September BCS Theory 2: Gauge invariance & non-BCS pairing possibilities; Bogoliubov transformation NOTES

• 5 September BCS Theory 3: Quasiparticle excitations and Thermodynamics NOTES SLIDES

• 8 September: BCS Theory 4: Electrodynamics NOTES  

• 10 September: BCS Theory 5: Real space pairing & Effect of Magnetic Field NOTES

• 12 September:  PH TRAVEL (Georgetown U.)

• 15 September:  BCS Theory 6: Multiband superconductivity NOTES

• 17 September: Ginzburg-Landau Theory 1: Intro NOTES

• 19 September:  Ginzburg-Landau Theory 2: Fluctuations and collective modes NOTES

• 22 September:   Ginzburg-Landau Theory 3: Type I and II superconductors PH TRAVEL (Oxford U.) Prof. Muttalib guest lecture NOTES

• 24 September:  Ginzburg-Landau Theory 4: Vortex lattice & SC length scales PH TRAVEL (Oxford U.) Prof. Muttalib guest lecture

• 26 September: Ginzburg-Landau Theory 5:  Single vortex NOTES

• 29 September:   Ginzburg-Landau Theory 6: Josephson Effect NOTES

•  1 October: Nontrivial pairing  NOTES SLIDES

• 3 October: Superconductivity in multiple pairing channels NOTES

• 6 October: Group theory for superconductors SLIDES

• 8 October: Disorder in trivial and nontrivial superconductors NOBEL SLIDES, NOTES

• 10 October: Properties of nodal superconductors NOTES

• 13 October:  Symmetry and GL functional of nontrivial SC; mixing of irreps, strain, vortices NOTES SLIDES

• 15 October Experimental probes: NMR, spin susceptibility NOTES SLIDES

• 17 October: Homecoming

• 20 October: Detection of low energy excitations (specific heat, thermal conductivity, ultrasound attenuation...) SLIDES

• 22 October: Spectroscopies: microwave, Raman, optics, ARPES, STM ... NOTES SLIDES

• 24 October: Phase-sensitive probes: novel Josephson phenomena, impurities, neutron spin resonance SLIDES

• 27 October: Detecting time reversal symmetry breaking SLIDES

• 29 October: Pairing by electronic excitations 1: SC from repulsive interactions NOTES SLIDES1 SLIDES2

• 31 October: Pairing by electronic excitations 2: Spin fluctuation theory NOTES

• 3 November: Cuprates I: overview NOTES  SLIDES

• 5 November: Cuprates II: Microscopic models of correlated Fermi systems:  Mott & CT insulators NOTES_3band NOTES 

• 7 November: Cuprates III: Pseudogap,  strange metal and superconducting phase NOTES SLIDES1 SLIDES2

• 10 November: Cuprates IV: SC state: Sr2RuO4 and Nickelates NOTES SLIDES

• 12 November: Fe-based SC I: Electronic structure, correlations NOTES SLIDES

• 14 November: Fe-based SC II: Magnetic and nematic order NOTES SLIDES 

• 17 November: Fe-based SC III:  Multiband SC. Interband pairs & incipient band pairing NOTES SLIDES

• 19 November: Heavy fermion superconductors NOTES SLIDES 

• 21 November: Topological superconductors 1: Superfluid 3He NOTES SLIDES

• 24-28 November: Thanksgiving holiday

• 1 December: Topological superconductors 2: Kitaev model NOTES

• 3 December: Topological superconductors 3: 2D chiral p-wave states