Topology#

Topological band theory: the SSH model’s bulk-boundary correspondence, the Haldane model’s Chern-number phase transition and Berry curvature, zigzag graphene and Kane-Mele helical edge states cut from ribbons, the Thouless quantum pump’s exactly quantized charge transport, and a topological (Chern) flat band on the kagome lattice.

Edge States on Ribbons

Edge States on Ribbons

The Haldane Model: Berry Curvature and a Topological Phase Transition

The Haldane Model: Berry Curvature and a Topological Phase Transition

A Topological Flat Band on the Kagome Lattice

A Topological Flat Band on the Kagome Lattice

The SSH Model: Bulk-Boundary Correspondence

The SSH Model: Bulk-Boundary Correspondence

The Thouless Quantum Pump (Rice-Mele Model)

The Thouless Quantum Pump (Rice-Mele Model)