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(a) Measurement setup for Hall sensors in AFM. (b) Topographical image of Hall sensor taken with magnetic bead. (c) Intensity plot of Hall voltage , recorded simultaneously with (b).
Normalized field profile from a magnetized bead with a magnetic moment over a Hall sensor with width . Here is the radial distance from the center point under the bead and is given in units of the bead radius . is the distance from the center of the bead to the quantum well.
Magnetic field of beads measured with Hall sensors. Data points are the measured bead field normalized to the external field for the (triangle) and (square) bead. The axis is the bead radius divided by the nominal Hall sensor dimension. Solid and dashed lines are fits to Eq. (2) for 1.6 and beads, respectively, with of passivation. The inset shows vs. for the bead measured with a Hall cross.
Measured field for a bead lifted from the surface of a Hall cross. Solid curve is a fit to Eq. (2).
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