Tight-Binding#

The generic real-space and reciprocal-space machinery: the square lattice, whose single band is simple enough to check by hand, as the smallest complete illustration of Bloch’s theorem; a graphene flake diagonalized directly and its Bloch band structure along a k-path, including Wallace’s 1947 linear (Dirac) dispersion near the K point; and tbkit.plot.Plot’s lattice, spectrum, density-of-states, and eigenstate-intensity plots.

Graphene: Real-Space Flake and Reciprocal-Space Bands

Graphene: Real-Space Flake and Reciprocal-Space Bands

The Square Lattice: Bloch’s Theorem in its Simplest Form

The Square Lattice: Bloch's Theorem in its Simplest Form

Visualizing a Model: tbkit.plot.Plot

Visualizing a Model: tbkit.plot.Plot