Variational analysis of a two-dimensional frustrated spin system: emergence and rigidity of chirality transitions
Analysis of PDEs
2019-04-17 v1 Mathematical Physics
math.MP
Abstract
We study the discrete-to-continuum variational limit of the - spin model on the square lattice in the vicinity of the helimagnet/ferromagnet transition point as the lattice spacing vanishes. Carrying out the -convergence analysis of proper scalings of the energy, we prove the emergence and characterize the geometric rigidity of the chirality phase transitions.
Keywords
Cite
@article{arxiv.1904.07792,
title = {Variational analysis of a two-dimensional frustrated spin system: emergence and rigidity of chirality transitions},
author = {Marco Cicalese and Marwin Forster and Gianluca Orlando},
journal= {arXiv preprint arXiv:1904.07792},
year = {2019}
}