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Advanced Condensed Matter Physics

Prof. Saurabh Basu · IIT Guwahati

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About

The Course deals with the prerequisite material for studying advanced level research in Condensed Matter Physics. The course begins with a preliminary discussion on second quantization, followed by zero temperature and Matsubara Greens functions. Applications to Hubbard model, Kane Mele model and superconductivity are discussed.

Intended audience: UG and PG students of Electrical and Electronics Engineering/Engineering Physics/Physics

Prerequisites: Solid State Physics Course

Lectures

Week 1 : Module 1

  1. Lec 1: Propagators I YouTube
  2. Lec 2: Propagators II YouTube
  3. Lec 3: Second quantization I YouTube
  4. Lec 4: Second quantization II YouTube
  5. Lec 5: Second quantized Hamiltonian YouTube

Week 2 : Module 2

  1. Lec 6: Tight Binding Hamiltonian, Hubbard model YouTube
  2. Lec 7: Magnetism YouTube
  3. Lec 8: Singlet and Triplet State: Magnetic Hamiltonian YouTube

Week 3 : Module 3

  1. Lec 9: Antiferromagnetism in Hubbard model YouTube
  2. Lec 10: Green's function and representations in quantum mechanics YouTube
  3. Lec 11: S matrix and free electron Green's function YouTube

Week 4 : Module 4

  1. Lec 12 : Wick's theorem and normal ordering YouTube
  2. Lec 13 : Green's function and Feynman diagrams YouTube
  3. Lec 14 : Feynman diagram YouTube

Week 5 : Module 5

  1. Lec 15 : Phonon Green's function and Hartree Fock approximation YouTube
  2. Lec 16 : Finite temperature Green's function and Matsubara frequencies YouTube
  3. Lec 17 : Dyson's equation and disorder in electronic systems YouTube

Week 6 : Module 6

  1. Lec 18 : Introduction to electrodynamics, Meissner effect YouTube
  2. Lec 19 : London penetration depth, Type I and II superconductors YouTube
  3. Lec 20 : Cooper's problem, BCS gap equation YouTube

Week 7 : Module 7

  1. Lec 21 : BCS theory, Transition temperature YouTube
  2. Lec 22 : Ginzburg Landau Theory, Coherence length and penetration depth YouTube
  3. Lec 23 : Quantum Hall Effect YouTube

Week 8 : Module 8

  1. Lec 24 : Spin Hall effect, 2D topological insulator YouTube
  2. Lec 25 : Bose-Einstein condensation YouTube
  3. Lec 26 : Kubo-Greenwood Formula YouTube

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Guwahati
Department
Physics
Teacher
Prof. Saurabh Basu
Level
Undergraduate
Language
English
Subjects
Physics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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