Hysteresis of finite arrays of magnetic nanodots

Hysteresis curves are investigated for finite arrays of N×N ferromagnetic nanodots subject to the dipole-dipole interaction (N=2,,13). Spin arrangements up to $N=6$ are presented, which indicate the onset of bulklike behavior associated with odd $(N=5)$ and even $(N=6)$ systems. The effect of field misalignment on the hysteresis loops is also studied for N=3,,6. The area AN of the hysteresis loop is studied as a function of N. AN-A_∞ approximately scales as N^-32 for N odd and as N^-2 for N even.