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) |
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Pages (from-to) | 6161-6165 |
Number of pages | 5 |
Journal | Journal of Applied Physics |
Volume | 83 |
Issue number | 11 |
State | Published - Jun 1 1998 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
Cite this
Effect of probe geometry on the Hall response in an inhomogeneous magnetic field : A numerical study. / Liu, S.; Guillou, H.; Kent, A. D.; Stupian, G. W.; Leung, M. S.
In: Journal of Applied Physics, Vol. 83, No. 11, 01.06.1998, p. 6161-6165.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Effect of probe geometry on the Hall response in an inhomogeneous magnetic field
T2 - A numerical study
AU - Liu, S.
AU - Guillou, H.
AU - Kent, A. D.
AU - Stupian, G. W.
AU - Leung, M. S.
PY - 1998/6/1
Y1 - 1998/6/1
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.
UR - http://www.scopus.com/inward/record.url?scp=0012623094&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0012623094&partnerID=8YFLogxK
M3 - Article
VL - 83
SP - 6161
EP - 6165
JO - Journal of Applied Physics
JF - Journal of Applied Physics
SN - 0021-8979
IS - 11
ER -