Optimization of Hall bar response to localized magnetic and electric fields

The present paper investigates the influence of localized magnetic and electric fields, produced by a magnetic scanning tip, on the response of high-mobility two-dimensional electron gas in a Hall bar geometry. We have developed a comprehensive numerical model, validated it by experiment and found the optimal design for magnetic sensing and limitation of perturbing effects due to electric field. This approach can be straightforwardly extended to the design of sensors for the detection of charged magnetic nanoparticles