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NPTEL

Electronic Theory of Solids

NPTEL and Indian Institute of Technology, Kharagpur via YouTube

Syllabus

Electronic Theory of Solids- Prof. Arghya Taraphder.
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) (Contd.).
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 (Contd.).
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.

Taught by

IIT Kharagpur July 2018

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