Published Paper

Inserted: 17 apr 2019
Last Updated: 2 apr 2021

Journal: SIAM J. Math. Anal.
Volume: 51
Number: 2
Pages: 4848-4893
Year: 2019

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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