Hall potentiometer in the ballistic regime
B. J. Baelus, F. M. Peeters
TL;DR
This paper presents a theoretical study of using a 2D electron gas to measure local potential profiles via the Hall effect, revealing how Hall resistance relates to potential profiles and their sensitivity compared to bend resistance.
Contribution
It introduces a theoretical framework linking Hall resistance to local potential profiles in a 2D electron gas, highlighting the differential sensitivity of Hall and bend resistances.
Findings
Hall resistance inversely proportional to average potential profile
Hall resistance independent of profile shape and position
Bend resistance highly sensitive to local potential details
Abstract
We demonstrate theoretically how a two-dimensional electron gas can be used to probe local potential profiles using the Hall effect. For small magnetic fields, the Hall resistance is inversely proportional to the average potential profile in the Hall cross and is independent of the shape and the position of this profile in the junction. The bend resistance, on the other hand, is much more sensitive on the exact details of the local potential profile in the cross junction.
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