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Cooling nanoelectronic devices below 10 mK is a great challenge since thermalconductivities become very small, thus creating a pronounced sensitivity toheat leaks. Here, we overcome these difficulties by using adiabaticdemagnetization of \emph{both} the electronic leads \emph{and} the largemetallic islands of a Coulomb blockade thermometer. This reduces the externalheat leak through the leads and also provides on-chip refrigeration, togethercooling the thermometer down to 2.8$\pm$0.1 mK. We present a thermal modelwhich gives a good qualitative account and suggests that the main limitation isheating due to pulse tube vibrations. With better decoupling, temperaturesbelow 1 mK should be within reach, thus opening the door for microkelvinnanoelectronics.

On-and-off chip cooling of a Coulomb blockade thermometer down to 2.8 mK