Thermodynamic perturbation theory for dipolar superparamagnets

Details Thermodynamic perturbation theory for dipolar superparamagnets Thermodynamic perturbation theory for dipolar superparamagnets

2001-01-18

arxiv.org/abs/cond-mat/0101287v2

Phys. Rev B 64, 174416 (2001)

Physics

Condensed Matter

Materials Science

15 pages, 3 figures

Scientific paper

10.1103/PhysRevB.64.174416

Thermodynamic perturbation theory is employed to derive analytical expressions for the equilibrium linear susceptibility and specific heat of lattices of anisotropic classical spins weakly coupled by the dipole-dipole interaction. The calculation is carried out to the second order in the coupling constant over the temperature, while the single-spin anisotropy is treated exactly. The temperature range of applicability of the results is, for weak anisotropy (A/kT << 1), similar to that of ordinary high-temperature expansions, but for moderately and strongly anisotropic spins (A/kT > 1) it can extend down to the temperatures where the superparamagnetic blocking takes place (A/kT \sim 25), provided only the interaction strength is weak enough. Besides, taking exactly the anisotropy into account, the results describe as particular cases the effects of the interactions on isotropic (A = 0) as well as strongly anisotropic (A \to \infty) systems (discrete orientation model and plane rotators).

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