Honeycomb, square, and kagomé vortex lattices in superconducting systems with multi-scale inter-vortex interactions

Abstract

The recent proposal of Romero-Isart {\em et al.}~\cite{romero-isart_superconducting_2013} to utilize the vortex lattice phases of superconducting materials to prepare a lattice for ultra-cold atoms-based quantum emulators, raises the need to create and control vortex lattices of different symmetries. Here we propose a mechanism by which honeycomb, hexagonal, square, and kagomé vortex lattices could be created in superconducting systems with multi-scale inter-vortex interaction. Multiple scales of the inter-vortex interaction can be created and controlled in layered systems made of different superconducting material or with differing interlayer spacing.

5 pages, 5 figures

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• Pattern formation in vortex matter with pinning and frustrated inter-vortex interactions
• Phase diagrams of vortex matter with multi-scale inter-vortex interactions in layered superconductors
• Melting of a two-dimensional monodisperse cluster crystal to a cluster liquid
• Pinning effects in a two-dimensional cluster glass
• Inducing topological flat bands in bilayer graphene with electric and magnetic superlattices
• Skyrmion-like textures in superconductors with competing order
• Short-wavelength mesophases in the ground states of core-softened particles in two-dimensions