Calculus of Variations and Geometric Measure Theory

Variational methods and applications

Chirality transition in magnetic materials

Marco Cicalese (Technische Universit√§t M√ľnchen)

created by paolini on 08 Sep 2021
modified on 14 May 2022

9 sep 2021 -- 14:00   [open in google calendar]

Abstract.

We introduce a classical ferromagneticantiferromagnetic lattice spin model which goes under the name of J1-J2-J3 model. We consider the excess energy of the system about the ground states In the vicinity of the ferromagnethelimagnet transition point and carry out the Gamma-convergence analysis as the lattice spacing vanishes to prove the emergence of chirality domains and characterize the optimal cost of a chirality transition in BV. To this end we prove that the system is asymptotically driven by an energy that can be seen as a discrete version of a non-linear perturbation of the Aviles-Giga functional.