Linked from

The 16 pages that link to Bloch's theorem, each with the reason it gives.

• Band gapRelated: Periodic crystal potentials produce the energy bands whose edges define the gap.

• Bravais latticeRelated: It uses lattice translations to constrain electron states in crystals.

• Brillouin zoneRelated: It allows crystal states to be indexed by wave vectors within one zone.

• Fermi surfaceRelated: It makes crystal momentum a useful label for electronic states in a solid.

• Band structureRelated: It gives the form of electron states used to derive bands in a periodic crystal.

• Mott insulatorNarrower topic: Periodic crystal structure underlies the extended electronic states assumed in ordinary band descriptions.

• Optical latticeRelated: It describes the wavefunctions and energy bands of atoms in an ideal lattice.

• Band theoryRelated: It describes the form of electron states in the periodic crystal potential that generates bands.

• Periodic boundary conditionRelated: It extends periodic matching to quantum states in a repeating crystal potential.

• Tight-binding modelRelated: It converts the lattice-periodic tight-binding Hamiltonian into momentum-space bands.

• Electronic band structureRelated: It explains why crystal electrons can be labeled by wavevectors within the Brillouin zone.

• Nearly-free-electron modelRelated: It supplies the wavefunction form used when the lattice perturbs free-electron states.

• Felix BlochBroader topic: This theorem captures the mathematical structure behind Bloch’s theory of electrons in crystals.

• Band structure methodsNarrower topic: It converts a crystal’s translational symmetry into the mathematical structure used by most band calculations.

• Lattice models in condensed matterRelated: It provides the foundation for describing electrons in crystalline lattices.

• Valence and conduction bandsNarrower topic: Periodic crystal structure produces the energy bands discussed here.