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Abstract: The dispersion relations of collective oscillations of the magnetic moment ofmagnetic dots arranged in square-planar arrays and having magnetic momentsperpendicular to the array plane are calculated. The presence of the externalmagnetic field perpendicular to the plane of array, as well as the uniaxialanisotropy for single dot are taken into account. The ferromagnetic state withall the magnetic moments parallel, and chessboard antiferromagnetic state areconsidered. The dispersion relation yields information about the stability ofdifferent states of the array. There is a critical magnetic field below whichthe ferromagnetic state is unstable. The antiferromagnetic state is stable forsmall enough magnetic fields. The dispersion relation is non-analytic as thevalue of the wave vector approaches zero. Non-trivial Van Hove anomalies arealso found for both ferromagnetic and antiferromagnetic states.



Author: P. V. Bondarenko, A. Yu. Galkin, B. A. Ivanov, C. E. Zaspel

Source: https://arxiv.org/







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