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Heat management and refrigeration are key concepts for nanoscale devicesoperating at cryogenic temperatures. The design of an on-chip mesoscopicrefrigerator that works thanks to the input heat is presented, thus realizing asolid state implementation of the concept of cooling by heating. The systemconsists of a circuit featuring a thermoelectric element based on aferromagnetic insulator-superconductor tunnel junction (N-FI-S) and a series oftwo normal metal-superconductor tunnel junctions (SINIS). The N-FI-S elementconverts the incoming heat in a thermovoltage, which is applied to the SINIS,thereby yielding cooling. The cooler's performance is investigated as afunction of the input heat current for different bath temperatures. We showthat this system can efficiently employ the performance of SINIS refrigeration,with a substantial cooling of the normal metal island. Its scalability andsimplicity in the design makes it a promising building block forlow-temperature on-chip energy management applications.

On-Chip Cooling by Heating with Superconducting Tunnel Junctions