Calculus of Variations and Geometric Measure Theory

M. Cicalese - F. Solombrino

Frustrated ferromagnetic spin chains: a variational approach to chirality transitions

created by solombrin on 19 Dec 2013
modified on 17 Mar 2015


Published Paper

Inserted: 19 dec 2013
Last Updated: 17 mar 2015

Journal: Journal of Nonlinear Science
Volume: 25
Number: 2
Pages: 291-313
Year: 2015
Doi: 10.1007/s00332-015-9230-4


We study the energy per particle of a one-dimensional ferromagneticanti-ferromagnetic frustrated spin chain with nearest and next-to-nearest interactions close to the helimagnetferromagnet 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.