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== pYL750 : Topology in Condensed Matter physics ==
== pYL750 : Topology in Condensed Matter physics ==
PYL125 or PYL563 or equivalent and PYL122 or PYL555 or equivalent Berry Phase, Hall Conductance and Chern number, Time Reversal Symmetry, Kramers Theorem, Concept of Edge modes, The bulk-edge correspondence, Graphene Edge Modes, Dirac Fermions, Stability of Dirac Points with Inversion and Time Reversal, Haldane's Graphene Model, Twisted Angle Graphene, Topological Insulators, Role of Spin-orbit coupling, The Kane and Mele Model, Z2 Invariants, Experimental Consequences of the Z2 Topological Invariant, 3D and 2D topological Insulators. Quantum Anomalous Hall Effect and Chern Insulators, Topological Magnetoelectric Effect, Spintronics using Topology, Weyl Semimetals and Topological Fermi Arc, Topological Superconductors in One and Two Dimensions, Kitaev Model, Lattice p-Wave Wire and Majorana Fermions, Bound States on Vortices in 2-D Chiral p-wave Superconductors, Concept of detection, braiding and fusion of Majorana. Topological quantum computation, Majorana qubits. Quantum Computing with Majorana Kramers Pairs, Quantum information processing with Majorana bound states in superconducting circuits.
[[PYL125]] or [[PYL563]] or equivalent and [[PYL122]] or [[PYL555]] or equivalent Berry Phase, Hall Conductance and Chern number, Time Reversal Symmetry, Kramers Theorem, Concept of Edge modes, The bulk-edge correspondence, Graphene Edge Modes, Dirac Fermions, Stability of Dirac Points with Inversion and Time Reversal, Haldane's Graphene Model, Twisted Angle Graphene, Topological Insulators, Role of Spin-orbit coupling, The Kane and Mele Model, Z2 Invariants, Experimental Consequences of the Z2 Topological Invariant, 3D and 2D topological Insulators. Quantum Anomalous Hall Effect and Chern Insulators, Topological Magnetoelectric Effect, Spintronics using Topology, Weyl Semimetals and Topological Fermi Arc, Topological Superconductors in One and Two Dimensions, Kitaev Model, Lattice p-Wave Wire and Majorana Fermions, Bound States on Vortices in 2-D Chiral p-wave Superconductors, Concept of detection, braiding and fusion of Majorana. Topological quantum computation, Majorana qubits. Quantum Computing with Majorana Kramers Pairs, Quantum information processing with Majorana bound states in superconducting circuits.

Latest revision as of 16:44, 14 April 2026

pYL750
Topology in Condensed Matter physics
Credits 3
Structure 3-0-0
Pre-requisites Solid State Physics and Quantum Mechanics.
Overlaps

pYL750 : Topology in Condensed Matter physics

PYL125 or PYL563 or equivalent and PYL122 or PYL555 or equivalent Berry Phase, Hall Conductance and Chern number, Time Reversal Symmetry, Kramers Theorem, Concept of Edge modes, The bulk-edge correspondence, Graphene Edge Modes, Dirac Fermions, Stability of Dirac Points with Inversion and Time Reversal, Haldane's Graphene Model, Twisted Angle Graphene, Topological Insulators, Role of Spin-orbit coupling, The Kane and Mele Model, Z2 Invariants, Experimental Consequences of the Z2 Topological Invariant, 3D and 2D topological Insulators. Quantum Anomalous Hall Effect and Chern Insulators, Topological Magnetoelectric Effect, Spintronics using Topology, Weyl Semimetals and Topological Fermi Arc, Topological Superconductors in One and Two Dimensions, Kitaev Model, Lattice p-Wave Wire and Majorana Fermions, Bound States on Vortices in 2-D Chiral p-wave Superconductors, Concept of detection, braiding and fusion of Majorana. Topological quantum computation, Majorana qubits. Quantum Computing with Majorana Kramers Pairs, Quantum information processing with Majorana bound states in superconducting circuits.