KnowraTight-binding modelLinked fromLinked fromThe 13 pages that link to Tight-binding model, each with the reason it gives.All 13Related 5Narrower topic 1Compared with 7Bloch's theoremRelated: It constructs Bloch states from localized orbitals repeated across a lattice.Band structureRelated: It derives bands from atomic orbitals and their overlap across a crystal.Anderson localizationRelated: Random site energies or hopping strengths make localization mathematically tractable.Band theoryCompared with: It derives bands from atomic-like states, complementing nearly-free-electron descriptions.Hubbard modelNarrower topic: The Hubbard model adds interactions to this framework for localized particles.Free electron modelCompared with: It describes electrons localized near atoms, opposite the free model’s extended states.Nearly-free-electron modelCompared with: It is the complementary limit, emphasizing strong localization rather than weak lattice perturbations.Linear combination of atomic orbitalsRelated: It shares the localized-orbital expansion but is commonly used for periodic solids.Electron gasCompared with: It contrasts with the gas picture by emphasizing atomic localization.Felix BlochCompared with: Unlike Bloch’s general wave formulation, it begins with electrons strongly associated with individual atoms.First-principles calculationCompared with: It is usually less computationally demanding but relies on a reduced description.Band structure methodsCompared with: It trades first-principles detail for compact models that expose how orbital interactions shape bands.Lattice models in condensed matterRelated: It turns lattice sites and intersite motion into a simple electronic description.