paper

On Josephson effects in insulating spin systems

arXiv:1101.1811 · doi:10.1016/j.aop.2012.04.004

Abstract

We discuss an experiment in which two magnetic insulators that both show a field-induced magnetic-ordering transition are weakly coupled to one another and are placed into an ex- ternal magnetic field. If the respective magnetic states can be interpreted as phase coherent Bose-Einstein condensates of magnetic bosonic quasiparticles, one expects the occurrence of Josephson effects. For two identical systems, the resulting d.c. Josephson effect formally represents a constant quasiparticle Josephson current across the weak link, which turns out to be unobservable in an experiment. For magnetic insulators with different critical fields, a spontaneous alternating quasiparticle current develops with a leading oscillation frequency ωa.c. that is determined by the difference between the critical fields. As a result of the coupling, additional sidebands appear in the energy spectrum of the coupled device that would be absent without phase coherence. We discuss the primary conditions for such an effect to take place and conclude that its detection can be feasible for a proper choice of compounds with suitable and realistic material parameters.

This version has been adapted to Elsevier style. The interpretation of the d.c. Josephson effect is more explicit. The role of the phase of the triplon-BEC-wavefunction is precisely defined to address a possible ambiguity with respect to the in-plane angle of the transverse magnetic moments. We include a remark in the conclusion on the possibility of an intrinsic Josephson effect in BaCuCi2O8

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