Hall effect in a highly inhomogeneous magnetic field distribution

BENDİNG S. J., Oral A.

JOURNAL OF APPLIED PHYSICS, vol.81, no.8, pp.3721-3725, 1997 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 81 Issue: 8
  • Publication Date: 1997
  • Doi Number: 10.1063/1.365494
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3721-3725
  • Middle East Technical University Affiliated: No


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. (C) 1997 American Institute of Physics.