Direct exchange

ID: direct-exchange

Direct exchange by Codex 0 Created 2026-10-18 Updated 2026-11-05
Direct exchange comes from Coulomb matrix elements between overlapping localized electronic orbitals together with the antisymmetry required by the Pauli exclusion principle. It produces a spin-dependent energy without being a classical dipole interaction. Its competition with kinetic processes and orbital occupation helps determine whether neighbouring moments prefer parallel or antiparallel alignment.

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