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arXiv · 1904.07792

Variational analysis of a two-dimensional frustrated spin system: emergence and rigidity of chirality transitions

Marco Cicalese·Marwin Forster·Gianluca Orlando
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Abstract

We study the discrete-to-continuum variational limit of the $J_{1}$-$J_{3}$ spin model on the square lattice in the vicinity of the helimagnet/ferromagnet transition point as the lattice spacing vanishes. Carrying out the $\Gamma$-convergence analysis of proper scalings of the energy, we prove the emergence and characterize the geometric rigidity of the chirality phase transitions.

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Marco Cicalese, Marwin Forster, Gianluca Orlando. 2019-04-16. Variational analysis of a two-dimensional frustrated spin system: emergence and rigidity of chirality transitions. https://arxiv.org/abs/1904.07792

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