Nonequilibrium generation of charge defects in kagome spin ice under slow cooling
arXiv:2306.17036 · doi:10.1103/PhysRevE.109.054133
Abstract
Kagome spin ice is one of the canonical examples of highly frustrated magnets. The effective magnetic degrees of freedom in kagome spin ice are Ising spins residing on a two-dimensional network of corner-sharing triangles. Due to strong geometrical frustration, nearest-neighbor antiferromagnetic interactions on the kagome lattice give rise to a macroscopic number of degenerate classical ground states characterized by ice rules. Elementary excitations at low temperatures are defect-triangles that violate the ice rules and carry an additional net magnetic charge relative to the background. We perform large-scale Glauber dynamics simulations to study the nonequilibrium dynamics of kagome ice under slow cooling. We show that the density of residual charge defects exhibits a power law dependence on the quench rate for the class of algebraic cooling protocols. The numerical results are well captured by the rate equation for the charge defects based on the reaction kinetics theory. As the relaxation time of the kagome ice phase remains finite, there is no dynamical freezing as in the Kibble-Zurek scenario. Instead, we show that the power-law behavior originates from a thermal excitation that decay algebraically with time at the late stage of the cooling schedule. Similarities and differences in quench dynamics of other spin ice systems are also discussed.
arXiv comment8 pages, 4 figures
References in corpus (28)
- Theory of Phase Ordering Kinetics
- Spin Ice State in Frustrated Magnetic Pyrochlore Materials
- Magnetic Monopoles in Spin Ice
- Cosmological Experiments in Condensed Matter Systems
- Artificial "spin ice" in a geometrically frustrated lattice of nanoscale ferromagnetic islands
- Colloquium: Artificial spin ice: Designing and imaging magnetic frustration
- Signature of magnetic monopole and Dirac string dynamics in spin ice
- Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
- Direct observation of the ice rule in artificial kagome spin ice
- Long Range Order at Low Temperature in Dipolar Spin Ice
- Magnetic multipole analysis of kagome and artificial ice dipolar arrays
- Two-stage ordering of spins in a dipolar spin ice on the kagome lattice
- A new macroscopically degenerate ground state in the spin ice compound Dy2Ti2O7 under a magnetic field
- Fragmentation of magnetism in artificial kagome dipolar spin ice
- Pinch Points and Kasteleyn Transitions: How Spin Ice Changes its Entropy
- Realization of the kagome spin ice state in a frustrated intermetallic compound
- Kagomé ice state in the dipolar spin ice Dy_{2}Ti_{2}O_{7}
- Removing the spin ice cap: magnetic ground states of rare earth tripod kagome lattice MgRESbO (RE = Gd, Dy, Er)
- Emergent Order in the Kagome Ising Magnet Dy3Mg2Sb3O14
- Thermal quenches in spin ice
- Magnetic charge and ordering in kagome spin ice
- Cooling dynamics of pure and random Ising chains
- Distribution of Kinks in an Ising Ferromagnet After Annealing and the Generalized Kibble-Zurek Mechanism
- Crystallizing Kagome artificial spin ice
- Chaotic behavior and damage spreading in the Glauber Ising model - a master equation approach
- Slow Cooling of an Ising Ferromagnet
- Quenched Dynamics of Artificial Spin Ice: Coarsening versus Kibble-Zurek
- Slow quench dynamics in classical systems: kinetic Ising model and zero-range process