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

2020/04/03 by Annika Bach, Bach, Annika, Marco Cicalese +5
Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Physics of Superconductivity and Magnetism #Quantum chaos and dynamical systems #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2004.01416

openalex publication_date 2020/04/03 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We study the discrete-to-continuum variational limit of the antiferromagnetic\nXY model on the two-dimensional triangular lattice. The system is fully\nfrustrated and displays two families of ground states distinguished by the\nchirality of the spin field. We compute the \Γ-limit of the energy in a\nregime which detects chirality transitions on one-dimensional interfaces\nbetween the two admissible chirality phases.\n

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