Details of PH4104 (Autumn 2012)

Level: 4 Type: Theory Credits: 3.0

Course CodeCourse NameInstructor(s)
PH4104 Condensed Matter II Subhasis Sinha

Syllabus
Introduction to phase transition:

General concepts, Mean field theory (Ising model), Order parameter and Landau-Ginzburg theory, Correlation function,correlation length, critical exponents



Liquid state theory:

Scattering theory and structure ( Bragg's law, light scattering), Structure factor, Pair correlation function



The Landau Fermi liquid :

General concept of Fermi sea and 'quasiparticles', Landau parameters and phenomenological energy functional of interacting quasiparticles, Lifetime of quasiparticles and validity of Fermi liquid (and problem in 1D), Effective mass, Spin waves and zero sound, General introduction to second quantization and Green's function, Interpretation of self energy, quasiparticle life time from Green's function.



Superfluidity:

General introduction to the superfluidity of Helium-4, Collective excitations: phonons and rotons, Superfluid hydrodynamics and vortex excitation, BEC of ultracold (trapped) alkali atoms, Weakly interacting Bose gas and Bogoliubov theory of excitations.



Superconductivity:

Landau-Ginzburg theory, London equation, Cooper instability, Introduction to BCS theory and Bogoliubov transformation.



The Hubbard Model :

General introduction to Hubbard model from tight binding approximation.





References


  1. N. W. Ashcroft and N. D. Mermin, Solid state physics, Saunders College Publications (1976).

  2. M. T. Dove, Structure and dynamics, Oxford master series in condensed matter physics, Oxford university press (2003).

  3. P. M. Chaikin and T. C. Lubensky, Principles of condensed matter physics, 1st South Asian edition, Cambridge University Press (1998).

  4. R. A. L. Jones, Soft condensed matter, Oxford master series in condensed matter physics, Oxford university press (2002).

  5. J. P. Hansen, Theory of simple liquids, Academic press (1986).

  6. C. A. Craxton, Liquid state physics - a statistical mechanical introduction, Cambridge University Press (1974).












Course Credit Options

Sl. No.ProgrammeSemester NoCourse Choice
1 IP 1 Not Allowed
2 IP 3 Not Allowed
3 MS 7 Not Allowed
4 RS 1 Not Allowed