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Course Co-ordinated by :
IIT Bombay
Course Available from :
10-April-2013
NPTEL
Physics
Superconductivity (Web)
Modules / Lectures
Module 1: Introduction
Lecture 1: Historical review and a survey of properties of superconductors.
Module 2: Normal metals
Lecture 1: Electrical conductivity and heat capacity followed by problem solving
Lecture 2: Magnetic susceptibility and Hall Effect followed by problem solving
Module 3: Superconductivity phenomenon
Lecture 1: Two fluid model for superconductivity and London equations
Lecture 2: Solution of London equations and free energy calculations
Module 4: Thermodynamics of the superconducting transition
Lecture 1: Basic thermodynamics and magnetism
Lecture 2: Application to the superconducting transition followed by problem solving
Module 5: Ginzburg-Landau phenomenological theory
Lecture 1: Free energy formulation
Lecture 2: Determination of coefficients Alpha and Beta in the absence of fields and gradients
Lecture 3: GL equations in presence of fields currents and gradients
Lecture 4: Coherence length, flux quantum, field penetration in a slab
Lecture 5: Type II superconductivity, fluxoid quantisation
Lecture 6: Critical field of thin films
Lecture 7: Field and order parameter variation inside a vortex
Module 6: Microscopic theory of superconductivity
Lecture 1: Cooper-Pair Problem: Schroedinger Equation for Two Interacting Electrons
Lecture 2: Cooper-Pair Problem: Solution for Zero Center-of-Mass Momentum
Lecture 3: Cooper-Pair Problem: Bound States
Lecture 4: Spatial Extent of Cooper-Pair Wavefunction
Lecture 5: Cooper-Pair Problem Using Second Quantization
Lecture 6: Electron-Phonon Interaction in Metals
Lecture 7: Macroscopic Coherent States of Harmonic Oscillator
Lecture 8: BCS Theory: BCS Wavefunction
Lecture 9: BCS Wavefunction in terms of 2m-particle states
Lecture 10: Number of Particles and Phase as Canonically Conjugate Variables
Lecture 11: BCS Reduced Hamiltonian
Lecture 12: Variational Determination of the Energy of the BCS Ground State.
Lecture 13: Elementary Excitations and the Bogoliubov-Valatin Transformation
Lecture 14: Bogoliubov-Valatin Canonical Transformation and the Model Hamiltonian
Lecture 15: Superconducting Energy Gap and Its Temperature Dependence
Lecture 16: Superconducting Transition Temperature
Lecture 17: Heat Capacity and other Thermodynamic Properties
Module 7: Tunneling and the energy gap
Lecture 1: Quasiparticle Tunneling: Energy-Level Diagrams
Lecture 2: Quasiparticle Tunneling: Microscopic Theory
Lecture 3: Pair Tunneling and the Time-Dependent Perturbation Theory
Lecture 4: Pair Tunneling, Modified Bogoliubov-Valatin Transformation and the Josephson Effects
Module 8 : Application of Superconductors
Lecture 1 : Equivalent circuit for Josephson junction and analysis
Lecture 2 : Josephson junctions in a field, SQUIDs and other application
Module 9 : Experimental probes of Superconductivity
Lecture 1: Experimental probes of superconductivity-1
Lecture 2 : Experimental probes of superconductivity-2
Module 10: Unconventional superconductors
Lecture 1 : Unconventional superconductors
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