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We theoretically study the spin-polarized current flowing through a Josephsonjunction (JJ) in a spin injection device. When the spin-polarized current isinjected from a ferromagnet (FM) in a superconductor (SC), the charge currentis carried by the superconducting condensate (Cooper pairs), while the spin-upand spin-down currents flow in the equal magnitude but in the oppositedirection in SC, because of no quasiparticle charge current in SC. Thisindicates that not only the Josephson current but also the spin current flowacross JJ at zero bias voltage, thereby generating Joule heating by the spincurrent. The result provides a new method for detecting the spin current bymeasuring Joule heating at JJ.Comment: 3 pages, 2 figure

Joule heating generated by spin current through Josephson junctions