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We study thermoelectric effects in Coulomb-coupled quantum-dot (CCQD) systemsbeyond lowest-order tunneling processes and the often applied wide-bandapproximation. To this end, we present a master-equation (ME) approach based ona perturbative $T$-matrix calculation of the charge and heat tunneling ratesand transport currents. Applying the method to transport through anon-interacting single-level QD, we demonstrate excellent agreement with theLandauer-B{\"u}ttiker theory when higher-order (cotunneling) processes areincluded in the ME. Next, we study the effect of cotunneling andenergy-dependent lead couplings on the heat currents in a system of twoCoulomb-coupled QDs. Overall, we find that cotunneling processes (i) dominatethe heat currents at low temperature and bias, and (ii) give rise to apronounced reduction of the cooling power achievable with the recentlydemonstrated Maxwell's demon cooling mechanism. Furthermore, we demonstratethat the cooling power can be boosted significantly by carefully engineeringthe energy dependence of the lead couplings to filter out undesired transportprocesses. Our findings emphasize the importance of considering higher-ordercotunneling processes as well as the advantage of engineered energy-dependentlead couplings in the optimization of the thermoelectric performance ofCoulomb-coupled QD systems.

Thermoelectrics in Coulomb-coupled quantum dots: Cotunneling and energy-dependent lead couplings