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We investigate the role of quantum coherence and higher harmonics resultingfrom multiple-path interference in nonlinear thermoelectricity in atwo-terminal triangular triple-dot Aharonov-Bohm (AB) interferometer. Wequantify the trade-off between efficiency and power in the nonlinear regime ofour simple setup comprising three non-interacting quantum dots (two connectedto two biased metallic reservoirs) placed at the vertex of an equilateraltriangle, and a magnetic flux $\Phi$ pierces it perpendicularly. For aspatially symmetric setup, we achieve optimal efficiency and power output whenthe inter-dot tunneling strength is comparable to the dot-lead coupling, ABphase $\phi=\pi/2$. Our analysis reveals that the presence of higher harmonicsis necessary but not sufficient to achieve optimal power output. The maximalconstructive interference represented by three close-packed resonance peaks ofthe unit transmission can enhance the power output ($P_{max}\sim2.35\,\mathrm{fW}$) almost 3.5 times as compared to the case where only asingle channel participates in the transport, and the corresponding efficiencyis about $0.80\eta_{c}$ where $\eta_{c}$ is the Carnot efficiency. Geometricasymmetries and their effects on efficiency and power output are alsoinvestigated. An asymmetric setup characterized by the ratio of the coupling tothe source and the drain terminals ($x$) can further enhance the maximum poweroutput $P_{max}\sim 3.85\,\mathrm{fW}$ for $x=1.5$ with the same efficiency asthat of the symmetric case. Our investigation reveals that the output power andefficiency are optimal in the wide-band limit. The power output issignificantly reduced for the narrow-band case. On the other hand, disordereffects radically reduce the performance of the heat engine.

Quantum coherent control of nonlinear thermoelectric transport in a triple-dot Aharonov-Bohm heat engine