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 twoatom solid. Building on this, it develops the theory of electrons in an Natom 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 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 FermiDirac Distribution and MaxwellBoltzmann 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 
References 
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 twoatom solid.
