Glass transitions in monodisperse cluster-forming ensembles: vortex matter in type-1.5 superconductors

Abstract

At low enough temperatures and high densities, the equilibrium configuration of an ensemble of ultrasoft particles is a self-assembled, ordered, cluster-crystal. In the present work we explore the out-of-equilibrium dynamics for a two-dimensional realization, which is relevant to superconducting materials with multi-scale intervortex forces. We find that for small temperatures following a quench, the suppression of the thermally-activated particle hopping hinders the ordering. This results in a glass transition for a monodispersed ensemble, for which we derive a microscopic explanation in terms of an "effective polydispersity" induced by multi-scale interactions. This demonstrates that a vortex glass can form in clean systems of thin films of "type-1.5" superconductors. An additional setup to study this physics can be layered superconducting systems, where the shape of the effective vortex-vortex interactions can be engineered.

References in corpus (14)

• Strong scaling of general-purpose molecular dynamics simulations on GPUs
• Type-1.5 Superconductors
• Ginzburg-Landau theory of vortices in a multi-gap superconductor
• Limits of the upper critical field in dirty two-gap superconductors
• Why do ultrasoft repulsive particles cluster and crystallize? Analytical results from density functional theory
• Soft Spheres Make More Mesophases
• Rydberg-induced Solitons: Three-dimensional Self-trapping of Matter Waves
• Increasing the density melts ultrasoft colloidal glasses
• Field- and temperature induced topological phase transitions in the three-dimensional $N$-component London superconductor
• Vortex sub-lattice melting in a two-component superconductor
• Non-Meissner electrodynamics and knotted solitons in two-component superconductors
• Muon-spin rotation measurements of the vortex state in Sr${}_2$RuO${}_4$: type-1.5 superconductivity, vortex clustering and a crossover from a triangular to a square vortex lattice
• Cluster glasses of ultrasoft particles
• Cluster Glass Transition of Ultrasoft-Potential Fluids at High Density

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• Hierarchies of Length Scale Based Typology in Anisotropic Multiband Superconductor
• Slow dynamics coupled with cluster formation in ultrasoft-potential glasses
• Nonequilibrium scenarios in cluster-forming quantum lattice models
• Melting of the two-dimensional solid phase in the Gaussian-core model
• Phase-change switching in 2D via soft interactions
• Melting of a two-dimensional monodisperse cluster crystal to a cluster liquid
• Pinning effects in a two-dimensional cluster glass
• Cluster self-assembly condition for arbitrary interaction potentials
• Ultrasoft classical systems at zero temperature
• Thermal and Quantum Fluctuation Effects in Quasiperiodic Systems in External Potentials
• Microscopic solutions for vortex clustering in two-band type-1.5 superconductors
• Pole Analysis of the Inter-Replica Correlation Function in a Two-Replica System as a Binary Mixture: Mean Overlap in the Cluster Glass Phase