The antiferromagnetic xy model on the triangular lattice: topological singularities

DOI10.1512/iumj.2022.71.9239OpenAlexW3108656414MaRDI QIDQ5870030

Gianluca Orlando, Leonard Kreutz, Annika Bach, Marco Cicalese

Publication date: 13 January 2023

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.10445

zbMATH Keywords

gamma-convergencetopological singularitiesfrustrated lattice systems

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Spin and Spin({}^c) geometry (53C27) Statistical mechanics of magnetic materials (82D40) Ginzburg-Landau equations (35Q56)

Related Items (4)

A classical \(\mathbb{S}^2\) spin system with discrete out-of-plane anisotropy: variational analysis at surface and vortex scalings ⋮ Screw dislocations in periodic media: variational coarse graining of the discrete elastic energy ⋮ Coarse-graining of a discrete model for edge dislocations in the regular triangular lattice ⋮ The antiferromagnetic \(XY\) model on the triangular lattice: chirality transitions at the surface scaling

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