| LECTURE |
DATE |
TOPIC |
| |
1/5 |
crystallography review, tight binding models, graphene |
|
1/7 |
Peierls phases, Hofstadter model, topology and geometry, SSH model |
| No. 3 |
1/12 |
SSH edge states, polarization, Jackiw-Rebbi domain wall states for d=1 Dirac |
| No. 4 |
1/14 |
Adiabatic theorem, Berry's phase, connection and curvature, Chern numbers |
| No. 5 |
1/19 |
Semiclassical dynamics, Boltzmann equation, collision integral, relaxation
time approximation, conductivity of normal metals, calculation of scattering time
|
| No. 6 |
1/21 |
Screening, Boltzmann equation for holes, magnetoresistance and Hall effect, high fields,
thermal transport, Onsager relations, thermo/galvano-magnetic effects |
| No. 7 |
1/26 |
Second quantization, Hartree-Fock theory, HF theory for atoms |
| No. 8 |
1/28 |
HF for electron gas, DFT, Kohn-Sham equations, XC functional, LDA, applications |
| No. 9 |
2/2 |
Linear response within DFT, screening, Fermi liquids: adiabatic continuity, first law |
| No. 10 |
2/4 |
Low-T properties of Fermi liquids, Galilean invariance, thermodynamic stability |
| No. 11 |
2/9 |
Zero sound, χ(q,ω) for FL, linear response theory, Kramers-Kronig relations |
| No. 12 |
2/11 |
Spectral representation of response functions, fluctuation-dissipation theorem,
dynamic structure factor, scattering, sum rules, single mode approximation
|
| No. 13 |
2/16 |
Superconductivity: phenomenology, thermodynamics, London equations |
| No. 14 |
2/18 |
Ginzburg-Landau theory, critical current, vortices, domain walls, magnetic properties |
| No. 15 |
2/23 |
Mixed phase of type-II materials: vortex penetration at Hc1, Abrikosov vortex lattice |
| No. 16 |
2/24 |
Bound states, Cooper problem, phonon-mediated attraction, BCS Hamiltonian |
| No. 17 |
2/25 |
Bogoliubov transformation, BCS ground state, gap equation, condensation energy, coherence factors, number-phase relation |
| No. 18 |
3/2 |
BCS at T > 0: gap equation, Landau coefficients, paramagnetic susceptibility, finite momentum condensates, superfluid density, effects of Coulomb repulsion (λ and μ*) |
| No. 19 |
3/4 |
Many electron Hamiltonian, Zeeman, spin-orbit, periodic table, magnetic properties of atoms and ions, diamagnetism and paramagnetism, crystal field splittings |
| No. 20 |
3/9 |
Stoner theory of moment formation in the Hubbard model |
| No. 21 |
3/11 |
Heisenberg model, mean field theory of magnetic order, susceptibility, spin wave theory |