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We report the cooling of electrons in nanoelectronic Coulomb blockadethermometers below 4 mK. Above 7 mK the devices are in good thermal contactwith the environment, well isolated from electrical noise, and not susceptibleto self-heating. This is attributed to an optimised design that incorporatescooling fins with a high electron-phonon coupling and on-chip electronicfilters, combined with a low-noise electronic measurement setup. Below 7 mK theelectron temperature is seen to diverge from the ambient temperature. Byimmersing a Coulomb Blockade Thermometer in the 3He/4He refrigerant of adilution refrigerator, we measure a lowest electron temperature of 3.7 mK.

Nanoelectronic thermometers optimised for sub-10 millikelvin operation