M. Cicalese

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math.AP2025

Energy concentration in a two-dimensional magnetic skyrmion model: variational analysis of lattice and continuum theories

Luca Briani, Marco Cicalese, Leonard Kreutz

We investigate the formation of singularities in a baby Skyrme type energy model, which describes magnetic solitons in two-dimensional ferromagnetic systems. In presence of a diver…

math.AP2024

From discrete to continuum in the helical XY-model: emergence of chirality transitions in the $S^{1}$ to $S^{2}$ limit

Marco Cicalese, Dario Reggiani, Francesco Solombrino

We analyze the discrete-to-continuum limit of a frustrated ferromagnetic/anti-ferromagnetic $S^{2}$ -valued spin system on the lattice $I^»_{n} Z^{2}$ as $I^»_{n} \to 0$ . For…

math.AP2024

Stacking faults in the limit of a discrete model for partial edge dislocations

Annika Bach, Marco Cicalese, Adriana Garroni +1

In the limit of vanishing lattice spacing we provide a rigorous variational coarse-graining result for a next-to-nearest neighbor lattice model of a simple crystal. We show that th…

Energy concentration in a two-dimensional magnetic skyrmion model: variational analysis of lattice and continuum theories

From discrete to continuum in the helical XY-model: emergence of chirality transitions in the S1 to S2 limit

Stacking faults in the limit of a discrete model for partial edge dislocations

From discrete to continuum in the helical XY-model: emergence of chirality transitions in the $S^{1}$ to $S^{2}$ limit