TITLE:
Resistance Matrix for an Anisotropic Hall Plate with Multiple Extended Asymmetric Contacts on the Boundary
AUTHORS:
Dorel Homentcovschi, Radu Oprea, Bruce T. Murray
KEYWORDS:
Hall Device, Resistance Matrix, Van Der Pauw Method, Anisotropic
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.8,
August
13,
2021
ABSTRACT: The electrical properties of magnetic sensing devices fabricated from anisotropic materials are not easily extracted. Here we present a method for determining the resistance matrix for an anisotropic device with multiple electrical contacts placed in a perpendicular magnetic field. By using the methods developed by Van der Pauw and Wasscher, the analysis for the anisotropic system is reduced to the equivalent problem for an isotropic sample, which can then be solved using methods developed previously. As a result, the method works in the case of structures with an arbitrary number of asymmetric extended contacts at large magnetic field strength. In addition to the extraction of nonisotropic resistivities, the resistance matrix can be used to analyze the Hall effect for anisotropic plates.