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math-ph2020★ 3 cited
The -clock model: Variational analysis for fast and slow divergence rates of
Marco Cicalese, Gianluca Orlando, Matthias Ruf
We study a nearest neighbors ferromagnetic spin system on the square lattice in which the spin field is constrained to take values in a discretization of the unit circle consisting…
math-ph2020
The antiferromagnetic XY model on the triangular lattice: topological singularities
Annika Bach, Marco Cicalese, Leonard Kreutz +1
We study the discrete-to-continuum variational limit of the antiferromagnetic XY model on the two-dimensional triangular lattice in the vortex regime. Within this regime, the spin…
math-ph2020
Coarse graining and large- behavior of the -dimensional -clock model
Marco Cicalese, Gianluca Orlando, Matthias Ruf
We study the asymptotic behavior of the -clock model, a nearest neighbors ferromagnetic spin model on the -dimensional cubic -lattice in which the spin field is…