Electronic Theory of Solids

Lecture 01: Free electrons: Drude Theory.

Lecture 02: Weidemann Franz Law.

Lecture 03: Drude Model continued: Hall Effect.

Lecture 04: Schrodinger Equation: Boundary Conditions.

Lecture 05: Density of States: Fermi Energy, Fermi Velocity, Density of States in 1D, 2D and 3D.

Lecture 06: Properties of Degenerate Fermi Gas.

Lecture 07,Lecture 08, Lecture 09, Lecture 10: Variational Method: Molecular Orbitals, Bonding and anti-bonding Orbitals.

Lecture 11: Bonding and Band Formation(LCAO).

Lecture 12: Bonding and Band Formation(LCAO)

Lecture 13: Bloch's Theorem.

Lecture 14: Proof of Bloch's Theorem.

Lecture 15: N atoms Solid.

Lecture 16: Brillouin Zones.

Lecture 17: Tight binding: lattice with a basis.

Lecture 18: Fermi Surfaces.

Lecture 19: Lattice with basis:Energy Spectrum.

Lecture 20: Energy spectrum

Lecture 21: Graphene and Fermi Surfaces.

Lecture 22: Fermi Surfaces Instabilities.

Lecture 23: Low Dimensional Systems.

Lecture 24: Integer Quantum Hall Effect (IQHE).

Lecture 25: Integer Quantum Hall Effect Continued.

Lecture 26: Electron in a Strong Magnetic Field and IQHE.

Lecture 27: Spintronics: Introduction and Applications.

Lecture 28: Magnetism. Lecture 29: Magnetism: Quantum Theory.

Lecture 30: Hund's Rule.

Lecture 31: Curie's Law and Van Vleck Paramagnetism.

Lecture 32: Curie's law for any J, Susceptibility.

Lecture 33: Susceptibility and Thermal Properties.

Lecture 34: Adiabatic Demagnetisation.

Lecture 35: Pauli Paramagnetism.

Lecture 36: Paramagnetism of metals.

Lecture 37: Exchange interaction for 2 electrons.

Lecture 38: Exchange interactions of different types.

Lecture 39: Magnetic Order.

Lecture 40: Magnetic Order of different types & Heisenberg model.

Lecture 41: Ising Model.

Lecture 42: Mean Field Theory.

Lecture 43: Spontaneous magnetisation & 1D Ising Model.

Lecture 44: Symmetries of Ising model, Exact Solution.

Lecture 45: Ferromagnetic Heisenberg Model.

Lecture 46: Ground State & Magnons / Excitations.

Lecture 47: Superconductivity.

Lecture 48: London Equation.

Lecture 49: Meisner Effect from London Equation.

Lecture 50: Cooper problem.

Lecture 51: Instability of the Fermi Surface.

Lecture 52: BCS Theory Introduction.

Lecture 53: BCS Theory, Excitation Spectrum.

Lecture 54: BCS. Lecture 55: Tunneling and Ginzberg Landau Theory.

Lecture 56: Electrodynamics of Superconductivity.

Lecture 57: Type II superconductors.

Lecture 58: Josephson junction.

Lecture 59: Vortices, SQUID, Quantum Supremacy & Qubits.

Lecture 60: Topological state of matter, XY Model, Topological Insulators.