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September 23, 2023

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Description

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)

Course Curriculum

  • Lecture 01 – Free Electrons: Drudge Theory Unlimited
  • Lecture 02 – Wiedemann Franz Law Unlimited
  • Lecture 03 – Drudge Model (cont.): Hall Effect Unlimited
  • Lecture 04 – Schrodinger Equation: Boundary Conditions Unlimited
  • Lecture 05 – Density of States Unlimited
  • Lecture 06 – Properties of Degenerate Fermi Gas Unlimited
  • Lecture 07 – Statistics Fermi-Dirac Distribution and … Unlimited
  • Lecture 08 – Sommerfeld Expansion and Band Formation: Temperature Dependent Densities, … Unlimited
  • Lecture 09 – Bonding and Band Formation: N=2 Solid Molecular Orbitals, … Unlimited
  • Lecture 10 – Variational Method: Molecular Orbitals, Bonding and Antibonding Orbitals Unlimited
  • Lecture 11 – Bonding and Band Formation: (LCAO) Unlimited
  • Lecture 12 – Bonding and Band Formation: (LCAO) (cont.) Unlimited
  • Lecture 13 – Bloch’s Theorem Unlimited
  • Lecture 14 – Proof of Bloch’s Theorem Unlimited
  • Lecture 15 – N Atoms Solid Unlimited
  • Lecture 16 – Brillouin Zones Unlimited
  • Lecture 17 – Tight Binding: Lattice with a Basis Unlimited
  • Lecture 18 – Fermi Surfaces Unlimited
  • Lecture 19 – Lattice with Basis: Energy Spectrum Unlimited
  • Lecture 20 – Energy Spectrum (cont.) Unlimited
  • Lecture 21 – Graphene and Fermi Surfaces Unlimited
  • Lecture 22 – Fermi Surfaces Instabilities Unlimited
  • Lecture 23 – Low Dimensional Systems Unlimited
  • Lecture 24 – Integer Quantum Hall Effect (IQHE) Unlimited
  • Lecture 25 – Integer Quantum Hall Effect (cont.) Unlimited
  • Lecture 26 – Electron in a Strong Magnetic Field and IQHE Unlimited
  • Lecture 27 – Spintronics: Introduction and Applications Unlimited
  • Lecture 28 – Magnetism Unlimited
  • Lecture 29 – Magnetism: Quantum Theory Unlimited
  • Lecture 30 – Hund’s Rule Unlimited
  • Lecture 31 – Curie’s Law and Van Vleck Paramagnetism Unlimited
  • Lecture 32 – Curie’s Law for Any J, Susceptibility Unlimited
  • Lecture 33 – Susceptibility and Thermal Properties Unlimited
  • Lecture 34 – Adiabatic Demagnetisation Unlimited
  • Lecture 35 – Pauli Paramagnetism Unlimited
  • Lecture 36 – Paramagnetism of Metals Unlimited
  • Lecture 37 – Exchange Interaction for 2 Electrons Unlimited
  • Lecture 38 – Exchange Interactions of Different Types Unlimited
  • Lecture 39 – Magnetic Order Unlimited
  • Lecture 40 – Magnetic Order of Different Types and Heisenberg Model Unlimited
  • Lecture 41 – Ising Model Unlimited
  • Lecture 42 – Mean Field Theory Unlimited
  • Lecture 43 – Spontaneous Magnetisation and 1D Ising Model Unlimited
  • Lecture 44 – Symmetries of Ising Model, Exact Solution Unlimited
  • Lecture 45 – Ferromagnetic Heisenberg Model Unlimited
  • Lecture 46 – Ground State and Magnons/Excitations Unlimited
  • Lecture 47 – Superconductivity Unlimited
  • Lecture 48 – London Equation Unlimited
  • Lecture 49 – Meissner Effect from London Equation Unlimited
  • Lecture 50 – Cooper Problem Unlimited
  • Lecture 51 – Instability of the Fermi Surface Unlimited
  • Lecture 52 – BCS Theory: Introduction Unlimited
  • Lecture 53 – BCS Theory, Excitation Spectrum Unlimited
  • Lecture 54 – BCS Unlimited
  • Lecture 55 – Tunneling and Ginzburg Landau Theory Unlimited
  • Lecture 56 – Electrodynamics of Superconductivity Unlimited
  • Lecture 57 – Type II Superconductors Unlimited
  • Lecture 58 – Josephson Junction Unlimited
  • Lecture 59 – Vortices, SQUID, Quantum Supremacy and Qubits Unlimited
  • Lecture 60 – Topological State of Matter, XY Model, Topological Insulators Unlimited

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