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The charge transport of a serially coupled quantum dots (SCQD) connected tothe metallic electrodes is theoretically investigated in the Coulomb blockaderegime. A closed-form expression for the tunneling current of SCQD in the{\color{red} weak interdot hopping} limit is obtained by solving an extendedtwo-site Hubbard model via the Green's function method. We use this expressionto investigate spin current rectification, negative differential conductance,and coherent tunneling in the nonlinear response regime. The currentrectification arising from the space symmetry breaking of SCQD is suppressed byincreasing temperature. The calculation of SCQD is extended to the case ofmultiple parallel SCQDs for studying the charge ratchet effect and SCQD withmultiple levels. In the linear response regime, the functionalities of spinfilter and low-temperature current filter are demonstrated to coexist in thissystem. It is further demonstrated that two-electron spin singlet and tripletstates can be readily resolved from the measurement of Seebeck coefficientrather than that of electrical conductance.

Theory of spin blockade, charge ratchet effect, and thermoelectrical behavior in serially coupled quantum-dot system