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The thermoelectric properties of a semiconduct quantum dot chain (SQDC)connected to metallic electrodes are theoretically investigated in the Coulombblockade regime. An extended Hubbard model is employed to simulate the SQDCsystem consisted of {\color{blue}N=2,3,4, and 5} quantum dots (QDs). The chargeand heat currents are calculated in the framework of Keldysh Green's functiontechnique. We obtained a closed-form Landauer expression for the transmissioncoefficient of the SQDC system with arbitrary number of QDs by using the methodbeyond mean-field theory. The electrical conductance ($G_e$), Seebeckcoefficient (S), thermal conductance, and figure of merit (ZT) are numericallycalculated and analyzed in the linear response regime. When thermal conductanceis dominated by phonon carriers, the optimization of ZT is determined by thepower factor ($pF=S^2G_e$). We find that the optimization of ZT value favorsthe following conditions:(1) QDs with low energy level fluctuations, (2) QDenergy levels lie above the Fermi level of electrodes, (3) $\Gamma < t_c \llU_0$, where $t_c$, $U_0$, and $\Gamma$ are electron interdot hopping strength,on-site electron Coulomb interaction, and tunneling rate, respectively, and (4)$\Gamma_L=\Gamma_R$ with $\Gamma_L+\Gamma_R$ kept constant, where $\Gamma_L(\Gamma_R)$ is the left (right) tunneling rate. It is predicted that high ZTvalues can be achieved by tailoring above conditions.

Thermoelectric Properties of a Semiconductor Quantum Dot Chain Connected to Metallic Electrodes