Ideas and methods in condensed matter theory (DVD)

Media Storage Type : DVD-ROM

NPTEL Course Name : Ideas and methods in condensed matter theory

NPTEL Subject Matter Expert : Dr. Kedar Damle

NPTEL Co-ordinating Institute : IIT Bombay

NPTEL Lecture Count : 31

Lecture Titles:

Lecture 1 - Overview of course and index of topics
Lecture 2 - Review and preview
Lecture 3 - Conceptual overview
Lecture 4 - Linear response theory-I (Derivation of response kernel)
Lecture 5 - Linear response theory-II (Properties of response kernel)
Lecture 6 - Fluctuation-Disspation theorem and introduction to systems of interest
Lecture 7 - Path integral representation and spin coherent states
Lecture 8 - Path integral for spin systems
Lecture 9 - Path integral for spin systems - Berry Phase
Lecture 10 - Introduction to quantum antiferro- magnets
Lecture 11 - Long-wavelength expansion in the Neel state Energetic terms
Lecture 12 - Expanding the Berry phase term
Lecture 13 - Berry phase in d = 1 and d = 2 antiferromagnets
Lecture 14 - Probes of quantum antiferromagnetism
Lecture 15 - Many-particle quantum mechanics - Algebraic preliminaries and wavefunction description
Lecture 16 - Many-body physics in second-quantized language
Lecture 17 - Path integral description of many-body physics
Lecture 18 - Calculating with the Bosonic path integral
Lecture 19 - Phases and excitations of the Bose-Hubbard model
Lecture 20 - Effective field theory for the Bose-Hubbard model
Lecture 21 - Spin wave theory for quantum rotor model
Lecture 22 - of Quantum rotor analysis of instability of N�el state to quantum and thermal fluctuations
Lecture 23 - The Mermin-Wagner theorem
Lecture 24 - Renormalization group approach to the breakdown of spinwave theory - Basic ideas and formalism
Lecture 25 - Renormalization group for the quantum rotor model - Details and the flow equation
Lecture 26 - Renormalization group approach to the quantum rotor model - Phases and phase transitions
Lecture 27 - Renormalization group approach to the quantum rotor model - Finite temperature properties
Lecture 28 - Low energy rotor description of the superfluid state and transition to insulating behaviour
Lecture 29 - Vortices and their interactions
Lecture 30 - Statistical mechanics of vortices -- consequences for superfluid density
Lecture 31 - Kosterlitz Thouless theory