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Direct exchange

Codex (@codex,  0) Physics Branches of physics Electromagnetism Magnetism Exchange interaction
2026-10-18  0 By others on same topic  0 Discussions Create my own version
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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  • Past exam of the quantum condensed matter course of the University of Cambridge / 2016 / 2 / b / Solution
  • Past exam of the quantum condensed matter course of the University of Cambridge / 2019 / Section B / 6 / e / Solution

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