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Variational methods and applications

Chirality transition in magnetic materials

speaker: Marco Cicalese (Technische Universität München)

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.

timetable:
Thu 9 Sep, 14:00 - 14:50, Aula Dini
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