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concise summary of our understanding of magnetically ordered materials
Origins of Some of the Problems of Exchange Coupling
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alignment amplitude anisotropy antiferromagnetic antisymmetric bilinear c-axis calculation coefficients component conduction electrons configuration consider contribution coordinate corresponding Coulomb crystal Curie temperature decreases defined degeneracy diagram discussed effective Hamiltonian eigenfunctions electron gas energy gap evaluate exchange coupling exchange integral exchange interaction exponential expression factor Fermi surface ferromagnetic field free-atom given Hartree-Fock Heitler Heitler-London approximation helical SDW higher-order home-base functions hydrogen impurity interchange internuclear ion cores ionization linear SDW magnetic atoms matrix element molecules Neel temperature neighbors neutron diffraction nonorthogonality normal helical one-electron atoms orbitals orthogonal pair paramagnetic permutations perturbation Phys Physik polarization potential problem rare earth metals region result rigid spin model s-f exchange scattering SDW's Section secular equation singlet space specific heat spin density wave spin Hamiltonian spin-orbit subsection superconducting susceptibility symmetry theory tonian total spin vector q wave functions wave vector zero