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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 24 - Integer Quantum Hall Effect (IQHE)

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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