We report transport measurements as a function of bias in open semicon
ductor quantum dots. These measurements are well described by an effec
tive electron temperature derived from Joule heating at the point cont
acts and cooling by Wiedemann-Franz out-diffusion of thermal electrons
. Using this model, we propose and analyze a quantum dot based sensor
capable of measuring absolute magnetic field at micron scales with a n
oise floor of similar to 110 nT/root Hz at 300 mK. Non optimized measu
rements reported here are similar to 2 orders of magnitude above this
floor. (C) 1998 American Institute of Physics.