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The problem of magnetic transitions between the low-temperature (macrospinordered) phases in 2D XY arrays is addressed. The system is modeled as a planestructure of identical single-domain particles arranged in a square lattice andcoupled by the magnetic dipole-dipole interaction; all the particles possess astrong easy-plane magnetic anisotropy. The basic state of the system in theconsidered temperature range is an antiferromagnetic (AF) stripe structure,where the macrospins (particle magnetic moments) are still involved inthermofluctuational motion: the superparamagnetic blocking $T_b$ temperature islower than that ($T_\text{af}$) of the AF transition. The description is basedon the stochastic equations governing the dynamics of individual magneticmoments, where the interparticle interaction is added in the mean fieldapproximation. With the technique of a generalized Ott-Antonsen theory, thedynamics equations for the order parameters (including the macroscopicmagnetization and the antiferromagnetic order parameter) and the partitionfunction of the system are rigorously obtained and analysed. We show thatinside the temperature interval of existence of the AF phase, a static externalfield tilted to the plane of the array is able to induce first order phasetransitions from AF to ferromagnetic state; the phase diagrams displayingstable and metastable regions of the system are presented.

philosophical transactions - royal society. mathematical, physical and engineering sciences/philosophical transactions - royal society. mathematical, physical and engineering sciences

Collective in-plane magnetization in a 2D XY macrospin system within the framework of generalized Ott-Antonsen theory