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Electronic Theory of Solids

Electronic Theory of Solids. Instructor: Prof. Arghya Taraphder, Department of Physics, IIT Kharagpur. The course aims to introduce electronic properties of solids starting from a very simple example: the two-atom solid. Building on this, it develops the theory of electrons in an N-atom solid – the band concept and its application to electrical and thermal properties in solids. The novel electronic concepts related to graphene and carbon nanotubes are discussed. Concept of symmetries and their relevance in emergent electronic properties are also outlined. (from nptel.ac.in)

Lecture 03 - Drudge Model (cont.): Hall Effect


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Lecture 01 - Free Electrons: Drudge Theory
Lecture 02 - Wiedemann Franz Law
Lecture 03 - Drudge Model (cont.): Hall Effect
Lecture 04 - Schrodinger Equation: Boundary Conditions
Lecture 05 - Density of States
Lecture 06 - Properties of Degenerate Fermi Gas
Lecture 07 - Statistics Fermi-Dirac Distribution and Maxwell-Boltzmann Distribution
Lecture 08 - Sommerfeld Expansion and Band Formation: Temperature Dependent Densities, Chemical Potential, Specific Heat
Lecture 09 - Bonding and Band Formation: N=2 Solid Molecular Orbitals, Linear Combinations of Atomic Orbitals
Lecture 10 - Variational Method: Molecular Orbitals, Bonding and Antibonding Orbitals
Lecture 11 - Bonding and Band Formation: (LCAO)
Lecture 12 - Bonding and Band Formation: (LCAO) (cont.)
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 (cont.)
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 (cont.)
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 and Heisenberg Model
Lecture 41 - Ising Model
Lecture 42 - Mean Field Theory
Lecture 43 - Spontaneous Magnetisation and 1D Ising Model
Lecture 44 - Symmetries of Ising Model, Exact Solution
Lecture 45 - Ferromagnetic Heisenberg Model
Lecture 46 - Ground State and Magnons/Excitations
Lecture 47 - Superconductivity
Lecture 48 - London Equation
Lecture 49 - Meissner 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 Ginzburg Landau Theory
Lecture 56 - Electrodynamics of Superconductivity
Lecture 57 - Type II Superconductors
Lecture 58 - Josephson Junction
Lecture 59 - Vortices, SQUID, Quantum Supremacy and Qubits
Lecture 60 - Topological State of Matter, XY Model, Topological Insulators