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We investigate the equilibrium and out-of-equilibrium Kondo effects in asingle-level interacting quantum dot connected to two ferromagnetic leads.Within the non-crossing approximation, we calculate the total density of states(DOS), the linear conductance, and the nonlinear differential conductance forboth the parallel and the anti-parallel alignments of the spin polarizationorientation in the leads, followed by a brief discussion regarding the validityof this approach. Numerical calculations show that for the anti-parallelalignment, a single Kondo peak always appears in the equilibrium DOS, resultingin the conventional temperature behavior in the linear conductance and thezero-bias maximum in the differential conductance. The strength of the DOS peakis gradually suppressed with increasing polarization, due to the fact thatformation of the Kondo-correlated state is more difficult in the presence ofhigher polarization. On the contrary, for the parallel configuration the Kondopeak in the DOS descends precipitately and splits into two peaks to form a verysteep valley between them. This splitting contributes to the appearance of a"hump" in the temperature-dependent linear conductance and a nonzero-biasmaximum in the differential conductance. Moreover, application of a biasvoltage can split each Kondo peak into two in the nonequilibrium DOS for bothconfigurations. Finally we point out that the tunnel magnetoresistance could bean effective tool to demonstrate the different Kondo effects in different spinconfigurations found here.Comment: 8 pages, 5 figure

Kondo-type transport through an interacting quantum dot coupled to ferromagnetic leads