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The thermal power ($PF=S^2G_e$) depends on the Seebeck coefficient ($S$) andelectron conductance ($G_e$). The enhancement of $G_e$ will unavoidablysuppress $S$ because they are closely related. As a consequence, theoptimization of $PF$ is extremely difficult. Here, we theoreticallyinvestigated the thermoelectric properties of two-dimensional quantum dot (QD)arrays with carriers injected from electrodes. The Lorenz number of 2D QDarrays in the resonant tunneling procedure satisfies the Wiedemann-Franz law,which confirms the formation of minibands. When the miniband center is far awayfrom the Fermi level of the electrodes, the electron transport is in thethermionic-assisted tunneling procedure (TATP). In this regime, $G_e$ inband-like situation and $S$ in atom-like situation can happen simultaneously.We have demonstrated that the enhancement of $G_e$ with an increasing number ofelectronic states will not suppress $S$ in the TATP.

Thermoelectric properties of finite two-dimensional quantum dot arrays with band-like electronic states