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Lecture Notes
National Tsing Hua University

Week 3: Tight-binding model and Bloch Theorem

National Tsing Hua University

3.1 Lattice

Bravais lattice:

Basis

3.2 tight-binding model

Atomic limit

Constructing tight-binding model

3.3 Bloch theorem

3.4 Wannier functions

3.5 Tight-binding model for saw tooth model -- flat band and localized orbits

3.6 Tight-binding model for graphene -- Dirac dispersion

Emergent phenomena
Week 2: Second Quantization and Collective Excitations
Emergent phenomena
Week 4: Band theory and Fermi surfaces