Learn · Topological Phases of Matter
Lecture 25 of 49Week 7 Symmetry-I
First quantization representation
Prof. Tanmoy Das · IISc Bangalore
Credits and licence
- From
- Topological Phases of Matter, IISc Bangalore (at NPTEL)
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- Tweens profiles and older. How courses are placed
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