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

    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 languageEnglish (US)
    Pages (from-to)6161-6165
    Number of pages5
    JournalJournal of Applied Physics
    Volume83
    Issue number11
    StatePublished - Jun 1 1998

    Fingerprint

    probes
    geometry
    magnetic fields
    electric potential
    magnetic measurement
    Hall effect
    spatial resolution
    microscopy
    scanning

    ASJC Scopus subject areas

    • Physics and Astronomy(all)
    • Physics and Astronomy (miscellaneous)

    Cite this

    Liu, S., Guillou, H., Kent, A. D., Stupian, G. W., & Leung, M. S. (1998). Effect of probe geometry on the Hall response in an inhomogeneous magnetic field: A numerical study. Journal of Applied Physics, 83(11), 6161-6165.

    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

    Liu, S, Guillou, H, Kent, AD, Stupian, GW & Leung, MS 1998, 'Effect of probe geometry on the Hall response in an inhomogeneous magnetic field: A numerical study', Journal of Applied Physics, vol. 83, no. 11, pp. 6161-6165.
    Liu S, Guillou H, Kent AD, Stupian GW, Leung MS. Effect of probe geometry on the Hall response in an inhomogeneous magnetic field: A numerical study. Journal of Applied Physics. 1998 Jun 1;83(11):6161-6165.
    Liu, S. ; Guillou, H. ; Kent, A. D. ; Stupian, G. W. ; Leung, M. S. / Effect of probe geometry on the Hall response in an inhomogeneous magnetic field : A numerical study. In: Journal of Applied Physics. 1998 ; Vol. 83, No. 11. pp. 6161-6165.
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