Topology and Condensed Matter Physics (English)

   Monday, April 15, 2024   

Starting a new Lecture Notes Series on Topology and Condensed Matter Physics

Youtube Lecture Playlist Credits 

Channel Name: NPTEL IIT Guwahati

So Let Us Start to This Journey of Learning 

Topology and Condensed Matter Physics By Lecture Notes together!

Lecture 1: Topology and Condensed Matter Physics

Lecture 2: Lec 1: Introduction to Topology

Lecture 3: Lec 2: Topological invariant, Berry phase

Lecture 4: Lec 3: Second quantization

Lecture 5: Lec 4: Ten Fold Classification

Lecture 6: Lec 5: Symmetries and SSH - model

Lecture 7: Lec 6: SSH - model, Introduction to superconductivity

Lecture 8: Lec 7: Kitaev model

Lecture 9: Lec 8: Introduction to Classical and Quantum Hall effect

Lecture 10: Lec 9:Quantum Hall Effect

Lecture 11: Lec 10: Landau Levels

Lecture 12: Lec 11: Properties of Landau Levels

Lecture 13: Lec 12: Edge modes of Landau levels, Incompressibility of Quantum Hall States

Lecture 14: Lec 13: Kubo formula

Lecture 15: Lec 14: Hall quantization and Topological invariant

Lecture 16: Lec 15: Electronic structure of Graphene

Lecture 17: Lec 16: Symmetries and QHE in Graphene

Lecture 18: Lec 17: Haldane model

Lecture 19: Lec 18: Anomalous quantum Hall effect in Haldane model

Lecture 20: Lec 19: Introduction of spin Hall effect

Lecture 21: Lec 20: Spin current, quantum spin Hall effect

Lecture 22: Lec 21: Quantum spin Hall insulator, Kane Mele model

Lecture 23: Lec 22: Kane Mele model with Rashba spin-orbit coupling, spin Hall conductivity

Lecture 24: Lec 23: Symmetric gauge in FQHE

Lecture 25: Lec 24: Laughlin States

Lecture 26: Lec 25: Plasma analogy

Lecture 27: Lec 26: Composite Fermions, Hierarchy picture

Lecture 28: Lec 27: Topological Consideration of FQHE

Lecture 29: Lec 28: 3D Topological Insulators