# Effects of Nanodots Shape and Lattice Constants on the Spin Wave Dynamics of Patterned Permalloy Dots

## TL;DR

This study uses micromagnetic simulations to explore how the shape and spacing of Permalloy nanodots influence their spin wave dynamics, revealing shape-dependent mode transformations and frequency tunability in arrays.

## Contribution

It introduces detailed analysis of shape and lattice effects on spin wave modes in nanodot arrays, highlighting the impact of inter-dot interactions on SW spectra.

## Key findings

- Triangular dots exhibit a broad SW frequency range up to 14.7 GHz.
- SW frequencies are significantly affected by inter-dot spacing below 100nm.
- Vortex states with shifted cores are observed at zero bias in all shapes.

## Abstract

Micromagnetic simulations studies on Permalloy (Ni80Fe20) nanodot with different shape and edge-to-edge separation (s) down to 25nm arranged in square lattice are reported. We observe the significant variation of spin-wave (SW) dynamics of nanodots of different shapes (triangular, diamond and hexagon) and of fixed dot diameter 100nm with varying s. Modes for single dot are transformed in an array into multiple quantized, edge and centre modes for different shapes and edge-to-edge separations, with different spin wave frequencies and peak intensities. Specifically, in the triangular dot sample, a broad range of mode frequencies is observed with highest SW frequency 14.7 GHz. For separation less than 100nm, the SW frequencies undergoes significant modification due to the varying nature of the magnetostatic and dipolar interaction in the array while for separation above 100nm, the SW frequency mostly remain constant. The power profiles confirm the nature of the observed modes. The spatial profiles of magnetostatic field are determined by a combination of internal magnetic-field profiles within the nanodots and the magnetostatic fields within the lattice. The inter-dots interaction of magnetostatic field shows dipolar and quadrupole contributions for all the shapes. Interestingly, vortex states with shifted core and polarity are observed in the array for all the shapes at Hbias = 0. Our results provide important understanding about the tunability of SW spectra in the array of triangular, diamond and hexagon shaped nanoelements.

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Source: https://tomesphere.com/paper/1901.09155