UNDER CONSTRUCTION

Many-body foundation

Bloch theorem, Born-Oppenheimer approximation

Second quantization and Hamiltonian in 2nd-quantization form

Single-particle band theory

Free and nearly free electron model, Periodic potential, Brillouin zone

Band gaps & Effective mass

Tight-binding model

LCAO, Wannier functions, hopping amplitudes

1D chain, graphene

Fermi lattice

Berry phase and topology primer (SSH model, Chern number)

Many-body problems & DFT foundations

Hartree-Fock approximation

Kohm-Sham equations, self-consistency

Practical DFT & Tensor Network

Wannierization (Wannier90): DFT \(\rightarrow\) tight-binding Hamiltonian

Matrix Product State & DMRG