%0 Journal Article %T Correlations of heat and charge currents in quantum-dot thermoelectric engines %A Rafael S¨¢nchez %A Bj£¿rn Sothmann %A Andrew N. Jordan %A Markus B¨¹ttiker %J Physics %D 2013 %I arXiv %R 10.1088/1367-2630/15/12/125001 %X We analyze the noise properties of both electric charge and heat currents as well as their correlations in a quantum-dot based thermoelectric engine. The engine is a three-terminal conductor with crossed heat and charge flows where heat fluctuations can be monitored by a charge detector. We investigate the mutual influence of charge and heat dynamics and how it is manifested in the current and noise properties. In the presence of energy-dependent tunneling, operating conditions are discussed where a charge current can be generated by heat conversion. In addition, heat can be pumped into the hot source by driving a charge current in the coupled conductor. An optimal configuration is found for structures in which the energy dependence of tunneling maximizes asymmetric transmission with maximal charge-heat cross-correlations. Remarkably, at a voltage that stalls the heat engine we find that in the optimal case the non-equilibrium state is maintained by fluctuations in the heat and charge current only. %U http://arxiv.org/abs/1307.0598v2