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 Γ -limit of the energy in a regime which detects chirality transitions on one-dimensional interfaces between the two admissible chirality phases.

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

Orlando Gianluca
2021-01-01

Abstract

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 Γ -limit of the energy in a regime which detects chirality transitions on one-dimensional interfaces between the two admissible chirality phases.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/227398
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