Learn · Topological Phases of Matter
Lecture 28 of 49week 8 Symmetry-II and Topological Classification
Symmetry in Second quantization-II
Prof. Tanmoy Das · IISc Bangalore
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All the lectures
- Introduction to the course
- Algebraic structures and Topological space
- Homotopy Group-I
- Homotopy Group-II
- Manifold and Calculus on Manifold
- Fibre bundles and Covariant derivative
- Parallel Transport
- Geometric phases
- Integer Quantum Hall Effect
- Landau levels and the Laughlin argument
- QHE in lattice-I
- QHE in lattice-II
- Adiabatic Evolution
- Berry phase and topological obstruction
- Topological Invariants
- SSH Model in 1D
- Chern Insulator & 2D Dirac Model
- 2D Rice–Mele Model
- Weyl & Nodal-line Semi-metals
- Graphene & Spin–Orbit Coupling
- Haldane Model
- BCS Theory & p-wave Superconductor
- Kitaev Model & Majorana Fermions
- Classification of Symmetries
- First quantization representation
- Parity & Time-Reversal Symmetry
- Symmetry in Second quantization-I
- Symmetry in Second quantization-II
- Symmetry in Second quantization-III
- Symmetry Classification - I
- Symmetry Classification - II
- Symmetry Classification - III
- Kramers Degeneracy and the BHZ Model
- The Z2 Topological Invariant - I
- The Z2 Topological Invariant - II (Sewing Matrices and Pfaffians)
- Strong and Weak Topological Insulators
- 3D Topological Insulators and Axions
- The Quantum Geometric Tensor
- Quantum Distance and Fidelity
- Metric Inequalities and the Wannier Obstruction
- Optical Responses and Topological Bounds
- Quantum Hall state and Charge pumping
- Polarization, edge states and k.p model
- Kitaev model and 2D Chern insulators
- Time reversal invariant topological insulators
- Topological protection and Dissipationless transport
- Negative Magneto resistance
- Transport signatures of topology
- Non-linear Hall effect