Effect of probe geometry on the Hall response in an inhomogeneous magnetic field: A numerical study

S. Liu; H. Guillou; A. D. Kent; G. W. Stupian; M. S. Leung

doi:10.1063/1.367485

Effect of probe geometry on the Hall response in an inhomogeneous magnetic field: A numerical study

S. Liu, H. Guillou, A. D. Kent, G. W. Stupian, M. S. Leung

Research output: Contribution to journal › Article › peer-review

Abstract

The effect of probe geometry on the classical Hall response to a weak perpendicular inhomogeneous magnetic field is studied numerically. An electric potential equation based on a classical model of the two-dimensional Hall effect is solved numerically for a generalized flux distribution to find the Hall response function. We find that the magnitude and shape of this response function is strongly affected by probe geometry. Asymmetric cross-shaped Hall probes, with one narrow voltage lead, have a strongly peaked response more localized than in symmetric probe arrangements. This suggests novel lithographic patterns that may improve the spatial resolution of Hall magnetometry and scanning Hall probe microscopy.

Original language	English (US)
Pages (from-to)	6161-6165
Number of pages	5
Journal	Journal of Applied Physics
Volume	83
Issue number	11
DOIs	https://doi.org/10.1063/1.367485
State	Published - Jun 1 1998

ASJC Scopus subject areas

General Physics and Astronomy

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10.1063/1.367485

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abstract = "The effect of probe geometry on the classical Hall response to a weak perpendicular inhomogeneous magnetic field is studied numerically. An electric potential equation based on a classical model of the two-dimensional Hall effect is solved numerically for a generalized flux distribution to find the Hall response function. We find that the magnitude and shape of this response function is strongly affected by probe geometry. Asymmetric cross-shaped Hall probes, with one narrow voltage lead, have a strongly peaked response more localized than in symmetric probe arrangements. This suggests novel lithographic patterns that may improve the spatial resolution of Hall magnetometry and scanning Hall probe microscopy.",

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year = "1998",

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AU - Guillou, H.

AU - Kent, A. D.

AU - Stupian, G. W.

AU - Leung, M. S.

PY - 1998/6/1

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N2 - The effect of probe geometry on the classical Hall response to a weak perpendicular inhomogeneous magnetic field is studied numerically. An electric potential equation based on a classical model of the two-dimensional Hall effect is solved numerically for a generalized flux distribution to find the Hall response function. We find that the magnitude and shape of this response function is strongly affected by probe geometry. Asymmetric cross-shaped Hall probes, with one narrow voltage lead, have a strongly peaked response more localized than in symmetric probe arrangements. This suggests novel lithographic patterns that may improve the spatial resolution of Hall magnetometry and scanning Hall probe microscopy.

AB - The effect of probe geometry on the classical Hall response to a weak perpendicular inhomogeneous magnetic field is studied numerically. An electric potential equation based on a classical model of the two-dimensional Hall effect is solved numerically for a generalized flux distribution to find the Hall response function. We find that the magnitude and shape of this response function is strongly affected by probe geometry. Asymmetric cross-shaped Hall probes, with one narrow voltage lead, have a strongly peaked response more localized than in symmetric probe arrangements. This suggests novel lithographic patterns that may improve the spatial resolution of Hall magnetometry and scanning Hall probe microscopy.

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Effect of probe geometry on the Hall response in an inhomogeneous magnetic field: A numerical study

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