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Variational analysis of a two-dimensional frustrated spin system: emergence and rigidity of chirality transitions (1904.07792v1)
Published 16 Apr 2019 in math.AP, math-ph, and math.MP
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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