Signature of magnetic monopole and Dirac string dynamics in spin ice

Abstract

Magnetic monopoles have eluded experimental detection since their prediction nearly a century ago by Dirac. Recently it has been shown that classical analogues of these enigmatic particles occur as excitations out of the topological ground state of a model magnetic system, dipolar spin ice. These quasi-particle excitations do not require a modification of Maxwell's equations, but they do interact via Coulombs law and are of magnetic origin. In this paper we present an experimentally measurable signature of monopole dynamics and show that magnetic relaxation measurements in the spin ice material $D{y}_{2}T{i}_2{O}_7$ can be interpreted entirely in terms of the diffusive motion of monopoles in the grand canonical ensemble, constrained by a network of "Dirac strings" filling the quasi-particle vacuum. In a magnetic field the topology of the network prevents charge flow in the steady state, but there is a monopole density gradient near the surface of an open system.

References in corpus (5)

• Artificial "spin ice" in a geometrically frustrated lattice of nanoscale ferromagnetic islands
• Why spin ice obeys the ice rules
• Low Temperature Spin Freezing in Dy2Ti2O7 Spin Ice
• Dy2Ti2O7 Spin Ice: a Test Case for Emergent Clusters in a Frustrated Magnet
• A Three Dimensional Kasteleyn Transition: Spin Ice in a [100] Field

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