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A lattice Hamiltonian built from localized orbitals with hopping and optional interaction terms. Its accuracy depends on the chosen localized basis, retained bands, and separation from omitted states.
wp-physics-tight-bindingtong-solid-state-physicsmit-theory-of-solidsEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Tight binding represents a periodic electronic problem in a truncated localized-orbital basis with fitted or derived hopping amplitudes; its errors depend on band isolation and basis quality rather than one universal small parameter.
The target is a model, idealization, restricted ansatz, approximation scheme, phenomenological fit, or historical representation used for the source system or theory. It need not have a universal small error parameter and is not thereby a controlled limit or effective theory. The edge label and detail must identify the precise status.
wp-physics-tight-bindingtong-solid-state-physicsmit-theory-of-solidsEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Diagonalizing the Bloch Hamiltonian of a tight-binding model yields its band structure; it describes only the orbitals and interactions retained in that model.
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
wp-physics-tight-bindingwp-physics-band-structuretong-solid-state-physics