A Scaling Theory for ac Magnetic Response in Kagome Ice

Abstract

A theory for frequency-dependent magnetic susceptibility (ω) is developed for thermally activated magnetic monopoles in kagome ice. By mapping this system to a two-dimensional (2D) Coulomb gas and then to a sine-Gordon model, we have shown that the susceptibility has a scaling form (ω)/(0)= F(ω/ω1), where the characteristic ω1 is related to a charge correlation length between diffusively moving monopoles, and to the sine-Gordon principal breather. The dynamical scaling is universal among superfluid and superconducting films, and 2D XY magnets above Kosterlitz-Thouless transitions.

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