5 citations · 5 across the 5 of their papers we have counts for
8 papers
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 rigid Polycrystals from atomistic Systems with Heitmann-Radin sticky disk energy
Manuel Friedrich, Leonard Kreutz, Bernd Schmidt
We investigate the emergence of rigid polycrystalline structures from atomistic particle systems. The atomic interaction is governed by a suitably normalized pair interaction energ…
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…
Finite crystallization and Wulff shape emergence for ionic compounds in the square lattice
Manuel Friedrich, Leonard Kreutz
We present two-dimensional crystallization results in the square lattice for finite particle systems consisting of two different atomic types. We identify energy minimizers of conf…
Microscopic validation of a variational model of epitaxially strained crystalline film
Leonard Kreutz, Paolo Piovano
A discrete-to-continuum analysis for free-boundary problems related to crystalline films deposited on substrates is performed by -convergence. The discrete model here introduced…
Crystallization in the hexagonal lattice for ionic dimers
Manuel Friedrich, Leonard Kreutz
We consider finite discrete systems consisting of two different atomic types and investigate ground-state configurations for configurational energies featuring two-body short-range…