33 citations · 128 across the 30 of their papers we have counts for
6 papers · 1 filter
Topological singularities in periodic media: Ginzburg-Landau and core-radius approaches
Roberto Alicandro, Andrea Braides, Marco Cicalese +2
We describe the emergence of topological singularities in periodic media within the Ginzburg-Landau model and the core-radius approach. The energy functionals of both models are de…
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…
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…
Emergence of concentration effects in the variational analysis of the -clock model
Marco Cicalese, Matthias Ruf, Gianluca Orlando
We investigate the relationship between the -clock model (also known as planar Potts model or -model) and the model (at zero temperature) through a -conver…
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…
The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling
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. The system is fully frustrated and displays two fa…