The Ultimate Noise Limit for Hall Plates in Voltage, Current, and Hybrid Operating Modes

Ausserlechner, Udo

doi:10.4236/jamp.2020.812223

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2022

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“…With [9] it became possible to identify relations between complementary Hall plates, where contacts and insulating boundaries are swapped (reverse magnetic field on complementary device theorem) [10]. An exploration on multi-contact Hall plates revealed the highest possible SNR per dissipated Watt—it is 1.9 times larger than for Hall plates with only four contacts [11,12]. A couple of works studied the effects of large contacts on Van der Pauw’s method [13–15].…”

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confidence: 99%

Complementary symmetric Hall plates with a hole and four outer extended contacts

Ausserlechner

2022

Proc. R. Soc. A.

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The electrical properties of Hall plates are described by the resistance matrix. Its even part corresponds to a resistor network, its odd part reflects the Hall output voltage. For singly connected and symmetric Hall plates closed formulae of the resistance matrix are known. There are also relations between complementary geometries, where contacts and insulating boundaries are swapped. This work gives the resistance matrix and relations between complementary geometries for Hall plates with one hole. The contacts may have arbitrary sizes, yet the plates must have two perpendicular axes of mirror symmetry, and the magnetic field has to be small.

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