Hall effect in a highly inhomogeneous magnetic field distribution

Bending, S. J.
Oral, Ahmet
Two-dimensional Hall probes are becoming increasingly popular as ''local'' magnetometers for ferromagnetic and superconducting materials. In many applications, the magnetic field at a sample surface varies on a length scale much smaller than the Hall probe dimensions, and data interpretation requires a quantitative model of the Hall voltage in this situation. We present here a classical numerical model of the Hall effect in a strongly inhomogeneous magnetic field and show how a response function can be defined to calculate the Hall voltage for an arbitrary magnetic-field distribution. The results are successfully applied to recent scanning Hall probe microscopy data on superconducting vortices.
Journal of Applied Physics


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Citation Formats
S. J. Bending and A. Oral, “Hall effect in a highly inhomogeneous magnetic field distribution,” Journal of Applied Physics, pp. 3721–3725, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/28225.