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In this paper we investigate the spin-current and its shot-noise spectrum ina single-molecule quantum dot coupled with a local phonon mode. We pay specialattention on the effect of phonon on the quantum transport property. Thespin-polarization dependent current is generated by a rotating magnetic filedapplied in the quantum dot. Our results show the remarkable influence of phononmode on the zero-frequency shot noise. The electron-phonon interaction leads tosideband peaks which are located exactly on the integer number of the phononfrequency and moreover the peak-height is sensitive to the electron-phononcoupling.Comment: 17 pages,5 figure

Spin current and shot noise in single-molecule quantum dots with a phonon mode