Approximate analytic expression for the Skyrmions crystal

Nicolas Grandi; Mauricio Sturla

doi:10.1142/s021797921850008x

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arXiv · 1611.03905

Approximate analytic expression for the Skyrmions crystal

Nicolas Grandi·Mauricio Sturla

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Abstract

We find approximate solutions for the two-dimensional non-linear {\Sigma}-model with Dzyalioshinkii-Moriya term, representing magnetic Skyrmions. They are built in an analytic form, by pasting different approximate solutions found in different regions of space. We verify that our construction reproduces the phenomenology known from numerical solutions and Monte Carlo simulations, giving rise to a Skyrmion lattice at an intermediate range of magnetic field, flanked by spiral and ferromagnetic phases for low and high magnetic field respectively.

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Nicolas Grandi, Mauricio Sturla. 2016-11-11. Approximate analytic expression for the Skyrmions crystal. https://doi.org/10.1142/s021797921850008x

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