Dynamic susceptibility of a spin ice near the critical point

Abstract

We consider spin ice magnets (primarily, $\mathrm{D}{\mathrm{y}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$) in the vicinity of their critical point on the $(H,T)$ plane. We find that the longitudinal susceptibility diverges at the critical point, leading to the behaviour qualitatively similar to the one which would result from non-zero conductance of magnetic charges. We show that dynamics of critical fluctuations belongs to the universality class of easy-axis ferroelectric and calculate logarithmic corrections (within two-loop approximation) to the mean-field critical behavior.

5 pages, 3 figures. Some misprints are corrected, among them are the formula (20) and the estimation for ${\Gamma }_c$

References in corpus (3)

• Magnetic Charge Transport
• Theory of the [111] magnetization plateau in spin ice
• Kagomé ice state in the dipolar spin ice Dy_{2}Ti_{2}O_{7}

Cited by in corpus (3)

• New physics in frustrated magnets: Spin ices, monopoles, etc
• Critical speeding-up near the monopole liquid-gas transition in magnetoelectric spin-ice
• Generalised Longitudinal Susceptibility for Magnetic Monopoles in Spin Ice