Topological magnetic memory with multiply-connected planar magnetic nanoelements

Abstract

A coding scheme is introduced, allowing to store a set of linked bit strings in planar magnetic nanoelements with holes. Analytical expressions for the corresponding magnetization distributions are developed up to a homotopy and the specific examples are given for doubly- and triply-connected cases. The energy barriers, protecting the information-bearing states, are discussed. Compared to a set of disparate simply-connected nanoelements of the same total connectivity, the nanoelements with holes can hold much more information due to the possibility of linking the individual bits.

7 pages, 3 figures (English and Russian version)

References in corpus (5)

• Map of metastable states for thin circular magnetic nano-cylinders
• Head-to-Head Domain Wall Structures in Wide Permalloy Strips
• Magnetization patterns in ferromagnetic nano-elements as functions of complex variable
• Lifetime of skyrmions in discrete systems with infinitesimal lattice constant
• Topological constraints on positions of magnetic solitons in multiply-connected planar magnetic nano-elements