Teachings
2024
Venue: Lecture Hall 4 (Physical Science Building)
Chapter 1: Review of Condensed matter Physics I
- Bloch States, Wannier orbitals, Born-Oppenheimer Approximation, Tight-binding model, Quantum Geometry and Quantum Metric
Chapter 2: Second Quantization
- Quantum Statistics, Many-Body Wavefunction
Chapter 3: Hartee-Fock Theory
- First and Second Quantization, Brief introduction to Mean-field theory, Jellium model, Electron-Liquid, Wigner Crystal, Introductions to singularities and instabilities
Chapter 4: Linear Response Theory
- Screening, Lindhard Functions, Screening in interacting electron gas: Random Phase Approximation, Thomas-Fermi Screening, Dielectric functions, Plasma modes, Fluctuation-Dissipation Theory, Sum rules
Chapter 5: Fermi Liquid Theory & Greens Function
- Concept of quasiparticles, Mass renormalization, Quasiparticle lifetime
- Brief introduction to Green's function method, Spectral Weight, Self-energy
Chapter 6: Hubbard and Kondo model,
- Weak coupling Limit: Hartree-Fock theory, Stoner Instability, Spin, and Charge Density Waves, Applications to Mean-Field Theory
- Strong coupling limit: Mean-field theory of antiferromagnetism, Derivation of t-J model
- Brief discussions on Quantum Spin liquid and Nagaoka Ferromagnetism,
- Kondo model in weak and strong coupling limit
Chapter 7: Phonons and Superconductivity
- Phonons, Electron-Phonons, Kohn Anomaly, Polarons, Effective Electron-Electron Interactions
- Superconductivity and the BCS theory
Chapter 8: Transport
- Dynamics in Phase space
- Boltzmann Transport Equation, Conductivity
- Relaxation time approximation
- Impurity scattering, Electron-phonon scattering, Electron-Electron Scattering
- Brief introduction to Open Quantum Systems and non-Hermitian Dynamics
Our lecture Notes: will be uploaded here
Midterm : 20%
Term paper+Presentation : 25%
End Term : 30%
2021
Chapter 1: Review of CM1
- Bloch States, Wannier orbitals, Born-Oppenheimer Approximation, Tight-binding model, Quantum Geometry and Quantum Metric
Our lecture Notes:
Midterm : 20%
Term paper+Presentation : 25%
End Term : 30%
Chemistry Contents