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Title: A comparison of numerical simulations and analytical theory of the dynamics of interacting magnetic vortices

Magnetostatic interactions between vortices in closely spaced planar structures are important for applications including vortex-based magnonic crystals and spin torque oscillator networks. Analytical theories that include magnetostatic interaction effects have been proposed but have not yet been rigorously tested. Here, we compare micromagnetic simulations of the dynamics of magnetic vortices confined in three disks in an equilateral triangle configuration to analytical theories that include coupling. Micromagnetic simulations show that the magnetostatic coupling between the disks leads to splitting of the gyrotropic resonance into three modes and that the frequency splitting increases with decreasing separation. The temporal profiles of the magnetization depend on the vortex polarities and chiralities; however, the frequencies depend only on the polarity combinations and will fall into one of two categories: all polarities equal or one polarity opposite to the others, where the latter leads to a larger frequency splitting. Although the magnitude of the splitting observed in the simulations is larger than what is expected based on purely dipolar interactions, a simple analytical model that assumes dipole-dipole coupling captures the functional form of the frequency splitting and the motion patterns just as well as more complex models.
Authors:
;  [1] ; ;  [2] ;  [3] ;  [4]
  1. Department of Physics, Colorado State University, Fort Collins, Colorado 80523 (United States)
  2. Department of Physics, Bryn Mawr College, Bryn Mawr, Pennsylvania 19010 (United States)
  3. Department of Physics, California Institute of Technology, Pasadena, California 91125 (United States)
  4. Department of Physics and Astronomy, Johns Hopkins University, Baltimore, Maryland 20723 (United States)
Publication Date:
OSTI Identifier:
22399342
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Applied Physics; Journal Volume: 117; Journal Issue: 12; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CAPTURE; CHIRALITY; COMPARATIVE EVALUATIONS; COMPUTERIZED SIMULATION; COUPLING; CRYSTALS; DIPOLES; MAGNETIC FLUX; MAGNETIZATION; OSCILLATORS; RESONANCE; SPIN; TORQUE; VORTICES