M. Cicalese

activity

20072025

most citedInterfaces, modulated phases and textures in lattice systems

33 citations · 128 across the 30 of their papers we have counts for

collaborators

Showing 2024Show all

2 papers · 1 filter

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 $λ_{n} Z^{2}$ as $λ_{n} \to 0$ . 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…

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