Details of PH4104 (Autumn 2012)
Level: 4 | Type: Theory | Credits: 3.0 |
Course Code | Course Name | Instructor(s) |
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PH4104 | Condensed Matter II | Subhasis Sinha |
Syllabus |
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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 |
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Course Credit Options
Sl. No. | Programme | Semester No | Course Choice |
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1 | IP | 1 | Not Allowed |
2 | IP | 3 | Not Allowed |
3 | MS | 7 | Not Allowed |
4 | RS | 1 | Not Allowed |