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VOLUME 105 | ISSUE 1 | PAGE 21
Current noise generated by spin imbalance in presence of spin relaxation
We calculate current (shot) noise in a metallic diffusive conductor generated by spin imbalance in the absence of a net electric current. This situation is modeled in an idealized three-terminal setup with two biased ferromagnetic leads (F-leads) and one normal lead (N-lead). Parallel magnetization of the F-leads gives rise in spin-imbalance and finite shot noise at the N-lead. Finite spin relaxation results in an increase of the shot noise, which depends on the ratio of the length of the conductor (L) and the spin relaxation length (ls). For L\gg l_s the shot noise increases by a factor of two and coincides with the case of the anti-parallel magnetization of the F-leads.