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 |
| 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
}
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
AN - SCOPUS:0012623094
VL - 83
SP - 6161
EP - 6165
JO - Journal of Applied Physics
JF - Journal of Applied Physics
SN - 0021-8979
IS - 11
ER -