Emergent Coulombic criticality and Kibble-Zurek scaling in a topological magnet

Abstract

When a classical system is driven through a continuous phase transition, its nonequilibrium response is universal and exhibits Kibble-Zurek scaling. We explore this dynamical scaling in the novel context of a three-dimensional topological magnet with fractionalized excitations, namely the liquid-gas transition of the emergent mobile magnetic monopoles in dipolar spin ice. Using field-mixing and finite-size scaling techniques, we place the critical point of the liquid-gas line in the three-dimensional Ising universality class. We then demonstrate Kibble-Zurek scaling for sweeps of the magnetic field through the critical point. Unusually slow microscopic time scales in spin ice offer a unique opportunity to detect this universal nonequilibrium physics in current experimental setups.

References in corpus (6)

• "Deconfined" quantum critical points
• Universal adiabatic dynamics across a quantum critical point
• Low Temperature Spin Freezing in Dy2Ti2O7 Spin Ice
• Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
• Unconventional magnetization processes and thermal runaway in spin-ice Dy${}_2$Ti${}_2$O${}_7$
• AC Wien effect in spin ice, manifest in non-linear non-equilibrium susceptibility

Cited by in corpus (10)

• Emergent Order in the Kagome Ising Magnet Dy3Mg2Sb3O14
• Continuous magnetic phase transition in artificial square ice
• Theory of Driven Nonequilibrium Critical Phenomena
• Dynamic scaling of topological ordering in classical systems
• Quenched Dynamics of Artificial Spin Ice: Coarsening versus Kibble-Zurek
• The multiple symmetry sustaining phase transitions of spin ice
• Dynamical off-equilibrium scaling across magnetic first-order phase transitions
• Tunable critical correlations in kagome ice
• Annealing Dynamics of Regular Rotor Networks: Universality and Its Breakdown
• Dynamic scaling theory for a field quench near the Kasteleyn transition in spin ice