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Course11510344531 lectures

Topology and Condensed Matter Physics

Prof. Saurabh Basu · IIT Guwahati

Start with lecture 1 At NPTEL

Lectures

Week-1: Introduction to Topology

  1. Lec 1: Introduction to Topology Video
  2. Lec 2: Topological invariant, Berry phase Video
  3. Lec 3: Second quantization Video
  4. Lec 4: Ten Fold Classification Video

Week-2: Symmetry and Topology

  1. Lec 5: Symmetries and SSH - model Video
  2. Lec 6: SSH - model, Introduction to superconductivity Video
  3. Lec 7: Kitaev model Video

Week-3: Quantum Hall Effect

  1. Lec 8: Introduction to Classical and Quantum Hall effect Video
  2. Lec 9:Quantum Hall Effect Video
  3. Lec 10: Landau Levels Video
  4. Lec 11: Properties of Landau Levels Video

Week-4: Properties of Quantum Hall systems

  1. Lec 12: Edge modes of Landau levels, Incompressibility of Quantum Hall States Video
  2. Lec 13: Kubo formula Video
  3. Lec 14: Hall quantization and Topological invariant Video
  4. Lec 15: Electronic structure of Graphene Video

Week-5: Anomalous Quantum Hall Effect

  1. Lec 16: Symmetries and QHE in Graphene Video
  2. Lec 17: Haldane model Video
  3. Lec 18: Anomalous quantum Hall effect in Haldane model Video
  4. Lec 19: Introduction of spin Hall effect Video

Week-6: Spin Hall Effect

  1. Lec 20: Spin current, quantum spin Hall effect Video
  2. Lec 21: Quantum spin Hall insulator, Kane Mele model Video
  3. Lec 22: Kane Mele model with Rashba spin-orbit coupling, spin Hall conductivity Video

Week 7: Fractional Quantum Hall Effect

  1. Lec 23: Symmetric gauge in FQHE Video
  2. Lec 24: Laughlin States Video
  3. Lec 25: Plasma analogy Video

Week 8: Fractional Quantum Hall Effect

  1. Lec 26: Composite Fermions, Hierarchy picture Video
  2. Lec 27: Topological Consideration of FQHE Video
  3. Lec 28: 3D Topological Insulators Video

Live Session

  1. Live Session 14-03-2024 Video
  2. Live Session 04-04-2024 Video
  3. Live Session 21-03-2025 Video

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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