6 papers
Optimal skyrmion stability in antisymmetric ultrathin ferromagnetic bilayers
Anne Bernand-Mantel, Valeriy V. Slastikov, Cyrill B. Muratov
We demonstrate the stray-field-mediated skyrmion stabilizing capabilities of ultrathin exchange-decoupled antisymmetric ferromagnetic bilayers based on conventional transition meta…
Euler's elastica functional as a large mass limit of a two-dimensional non-local isoperimetric problem
Cyrill B. Muratov, Matteo Novaga, Theresa M. Simon
We consider a large mass limit of the non-local isoperimetric problem with a repulsive Yukawa potential in two space dimensions. In this limit, the non-local term concentrates on t…
Existence of higher degree minimizers in the magnetic skyrmion problem
Cyrill B. Muratov, Theresa M. Simon, Valeriy V. Slastikov
We demonstrate existence of topologically nontrivial energy minimizing maps of a given positive degree from bounded domains in the plane to in a variational model des…
Skyrmion stacking in stray field-coupled ultrathin ferromagnetic multilayers
N. J. Dubicki, V. V. Slastikov, A. Bernand-Mantel +1
This paper explores the energy landscape of ferromagnetic multilayer heterostructures that feature magnetic skyrmions -- tiny whirls of spins with non-trivial topology -- in each m…
Asymptotically exact formulas for the stripe domains period in ultrathin ferromagnetic films with out-of-plane anisotropy
Anne Bernand-Mantel, Valeriy V. Slastikov, Cyrill B. Muratov
We derive asymptotically exact formulas for the equilibrium magnetic stripe period in ultrathin films with out-of-plane anisotropy that include the full domain wall magnetic dipola…
An optimal design problem for a charge qubit
Dario Mazzoleni, Cyrill B. Muratov, Berardo Ruffini
In this paper we introduce a simple variational model describing the ground state of a superconducting charge qubit. The model gives rise to a shape optimization problem that aims…