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The transport properties of serially coupled quantum dots (SCQDs) embedded ina matrix connected to metallic electrodes are theoretically studied in thelinear and nonlinear regimes. The current rectification and negativedifferential conductance of SCQDs under the Pauli spin blockade condition areattributed to the combination of bias-direction dependent probability weightand off-resonant energy levels yielded by the applied bias across thejunctions. We observe the spin-polarization current rectification under theZeeman effect. The maximum spin-polarization current occurs in the forward biasregime. Such behavior is different from the charge current rectification.Finally, the Seebeck coefficient ($S$)of SCQDs is calculated and analyzed inthe cases without and with electron phonon interactions. The application ofSCQDs as a temperature detector is discussed on the basis of the nonlinearbehavior of $S$ with respect to temperature difference across the junction.

Current Rectification and Seebeck Coefficient of Serially Coupled Double Quantum Dots