Effective Field Theories of Magnetism

A₁ absolute zero anisotropy antiferromagnetic antiparallel applied field axis B-P-W method behavior body-centered cubic body-centered cubic lattice C/NKZ calculated Chapter consider constant coupling approximation constant coupling method corresponding crystal Curie point Curie temperature Curie-Weiss law curves discussion effective field theories eigenvalues equations exchange interactions face-centered cubic face-centered cubic lattice ferrites ferromagnetic H₁ H₂ Hamiltonian Heisenberg model high temperature susceptibility hyperbola J₁ J₂ Kasteleijn kind of magnetic kind of ordering Kranendonk low temperatures M₁ M₂ magnetic atoms magnetic moment magnetic properties magnetic structures materials molecular field theory molecular field treatment Néel point Néel temperature Néel's obtained occur Oguchi method paramagnetic perpendicular Phys plane predicts rare earth reduced magnetization S₁ saturation short range order shown in Figure sinh solution specific heat spontaneous magnetization sublattices temperature dependence thermodynamic transition temperature two-sublattice types values Weiss molecular field Weiss theory y₁