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 / Bach, Annika; Cicalese, Marco; Kreutz, Leonard; Orlando, Gianluca. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 60:4(2021). [10.1007/s00526-021-02016-3]
The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling
Bach, Annika;
2021
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.| File | Dimensione | Formato | |
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Bach_preprint_The-antiferromagnetic_2020.pdf
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