Emergence of topological singularities in the antiferromagnetic XY-model on the triangular lattice

Annika Bach (TU Eindhoven)

Dec 12. 2023, 09:45 — 10:30

Antiferromagnetic spin systems are magnetic lattice systems in which the exchange interaction between two spins favors anti-alignment. Such systems are said to be geometrically frustrated, if due to the geometry of the lattice no spin configuration can simultaneously minimize all pairwise interactions. As a consequence of that, ground states of frustrated spin systems may exhibit nontrivial patterns and give rise to unconventional magnetic order. An example of such a system is the antiferromagnetic XY-model on the triangular lattice (AFXY). Here the frustration leads to a concentration of energy at a surface scaling which can be tracked via the so-called chirality of the spin field. In this talk we are concerned with the discrete-to-continuum variational analysis of the AFXY in an energetic regime where the system cannot overcome the energetic barrier of a chirality transition and instead finitely many vortex-type singularities emerge in the continuum limit.
 
This is joint work with M. Cicalese (TU Munich), L. Kreutz (TU Munich), and G. Orlando (Politecnico Bari).

Further Information
Venue:
ESI Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
New perspective on Shape and Topology Optimization (Workshop)
Organizer(s):
Elisa Davoli (TU Vienna)
Idriss Mazari-Fouquer (CEREMADE, Paris)
Kevin Sturm (TU Vienna)