We investigate the nonlocal thermoelectric transport in a Cooper-pair splitter based on a double-quantum-dot-superconductor three-terminal hybrid structure. We find that the nonlocal coupling between the superconductor and the quantum dots gives rise to nonlocal thermoelectric effects which originate from the nonlocal particle-hole breaking of the system. We show that Cooper-pair splitting induces the generation of a thermo-current in the superconducting lead without any transfer of charge between the two normal metal leads. Conversely, we show that a nonlocal heat exchange between the normal leads is mediated by non-local Andreev reflection. We discuss the influence of finite Coulomb interaction and study under which conditions nonlocal power generation becomes possible, and when the Cooper-pair splitter can be employed as a cooling device.
@article{arxiv.1806.04569,
title = {Nonlocal thermoelectricity in a Cooper-pair splitter},
author = {Robert Hussein and Michele Governale and Sigmund Kohler and Wolfgang Belzig and Francesco Giazotto and Alessandro Braggio},
journal= {arXiv preprint arXiv:1806.04569},
year = {2019}
}