Magnetic oscillation modes in square lattice artificial spin ice

Abstract

Small amplitude dipolar oscillations are considered in artificial spin ice on a square lattice in two dimensions. The net magnetic moment of each elongated magnetic island in the spin ice is assumed to have Heisenberg-like dynamics. Each island's magnetic moment is assumed to be influenced by shape anisotropies and by the dipolar interactions with its nearest neighbors. The magnetic dynamics is linearized around one of the ground states, leading to an $8\times 8$ matrix to be diagonalized for the magnetic spin wave modes. Analytic solutions are found and classified as antisymmetric and symmetric with regard to their in-plane dynamic fluctuations. Although only the leading dipolar interactions are included, modes similar to these may be observable experimentally.

13 pages, 10 figures

References in corpus (7)

• Artificial "spin ice" in a geometrically frustrated lattice of nanoscale ferromagnetic islands
• Artificial square ice and related dipolar nanoarrays
• Spectral analysis of topological defects in an artificial spin-ice lattice
• Artificial Kagome Arrays of Nanomagnets: A Frozen Dipolar Spin Ice
• Magnetic monopole and string excitations in a two-dimensional spin ice
• Comparing artificial frustrated magnets: tuning symmetry in nanomagnet arrays
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Cited by in corpus (6)

• Gænice: a general model for magnon band structure of artificial spin ices
• Spin wave spectral probing of possible microstates in building-block of macroscopically degenerate artificial spin ice
• Metastability and dynamic modes in magnetic island chains
• Metastability and dynamics in remanent states of square artificial spin ice with long-range dipole interactions
• Transverse magnetic field effects on metastable states of magnetic island chains
• State transitions and hysteresis in a transverse magnetic island chain