Frustrated ferromagnetic spin chains: a variational approach to chirality transitions
Mathematical Physics
2014-01-28 v3 Analysis of PDEs
math.MP
Abstract
We study the energy per particle of a one-dimensional ferromagnetic/anti-ferromagnetic frustrated spin chain with nearest and next-to-nearest interactions close to the helimagnet/ferromagnet transition point as the number of particles diverges. We rigorously prove the emergence of chiral ground states and we compute, by performing the Gamma-limits of proper renormalizations and scalings, the energy for a chirality transition.
Cite
@article{arxiv.1312.5573,
title = {Frustrated ferromagnetic spin chains: a variational approach to chirality transitions},
author = {Marco Cicalese and Francesco Solombrino},
journal= {arXiv preprint arXiv:1312.5573},
year = {2014}
}