Tight-Binding

The generic Bloch-Hamiltonian machinery: recovering the exact tight-binding dispersion from a real-space chain, a Hofstadter-like spectrum from Peierls-substituted Landau levels, and a two-orbital Slater-Koster LCAO band structure.

Bloch’s Theorem: From an Infinite Chain to H(k)

Bloch's Theorem: From an Infinite Chain to H(k)

Peierls Substitution: A Hofstadter-Like Spectrum from Landau’s Physics

Peierls Substitution: A Hofstadter-Like Spectrum from Landau's Physics

Slater-Koster LCAO: Empirical Multi-Orbital Band Structure

Slater-Koster LCAO: Empirical Multi-Orbital Band Structure