Supercooling and fragile glassiness in a dipolar kagome Ising magnet

Abstract

We study equilibration and ordering in the classical dipolar kagome Ising antiferromagnet, which we show behaves as a disorder-free fragile spin glass. By identifying an appropriate order parameter, we demonstrate a transition to the ordered state proposed by Chioar et al. [Phys. Rev. B 93, 214410 (2016)] with a 12-site unit cell that breaks time-reversal and sublattice symmetries, and further provide evidence that the nature of the transition is first order. Upon approaching the transition, the spin dynamics slow dramatically. The system readily falls out of equilibrium, overshooting the transition and entering a supercooled liquid regime. Using extensive Monte Carlo simulations, we show that the system exhibits super-Arrhenius behaviour above the ordering transition. The relaxation time diverges according to a Vogel-Fulcher form at a finite `glass transition' temperature in the supercooled regime. Such behaviour, characteristic of fragile glasses, is particularly remarkable as the model is free of quenched disorder, does not straightforwardly conform to the avoided criticality paradigm, and is simple and eminently realisable in engineered nanomagnetic arrays.

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Cited by in corpus (11)

• Solving frustrated Ising models using tensor networks
• Partial lifting of degeneracy in the $J_1-J_2-J_3$ Ising antiferromagnet on the kagome lattice
• Proposal to recover an extensive ground state degeneracy in a two-dimensional square array of nanomagnets
• Spin-orbital glass transition in a model of a frustrated pyrochlore magnet without quenched disorder
• Artificial out-of-plane Ising antiferromagnet on the kagome lattice with very small further neighbour couplings
• Signatures of long range dipolar interactions in artificial square ice
• Fracton excitations in classical frustrated kagome spin models
• Tuning the two-step melting of magnetic orders in a dipolar kagome spin ice by quantum fluctuations
• Mean-field phase diagram and spin glass phase of the dipolar Kagome Ising antiferromagnet
• Partial magnetic order in kagome spin ice
• Frustrated magnets in the limit of infinite dimensions: dynamics and disorder-free glass transition