Calculus of Variations and Geometric Measure Theory

A. Bach - M. Cicalese - L. Kreutz - G. Orlando

The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling

created by kreutz on 06 Apr 2020
modified by cicalese on 25 Jun 2022


Published Paper

Inserted: 6 apr 2020
Last Updated: 25 jun 2022

Journal: Calc. Var. Partial Diff. Equations
Volume: 60
Number: 4
Pages: Paper No. 149, 36pp.
Year: 2021

ArXiv: 2004.01416 PDF


We study the discrete-to-continuum variational limit of the antiferromagnetic XY model on the two-dimensional triangular lattice. The system is fully frustrated and displays two families of ground states distinguished by the chirality of the spin field. We compute the {\Gamma}-limit of the energy in a regime which detects chirality transitions on one-dimensional interfaces between the two admissible chirality phases.