Hall cross size scaling and its application to measurements on nanometer-size iron particle arrays

TL;DR

This paper investigates how the size of Hall crosses affects the measurement sensitivity of nanometer-scale iron particle arrays, demonstrating improved detection capabilities for very small particles.

Contribution

It introduces a scaling approach for Hall cross sizes to enhance magnetic measurement sensitivity of nanoscale ferromagnetic particles.

Findings

Matching Hall cross and array areas improves sensitivity by at least an order of magnitude.

Single 10 nm particles can be measured with appropriately sized Hall crosses.

Scaling laws predict measurement feasibility for particles as small as 10 nm.

Abstract

Hall crosses were used to measure the magnetic properties of arrays of ferromagnetic, nanometer-scale iron particles. The arrays typically consist of several hundred particles of 9 -- 20 nm in diameter. It is shown that the sensitivity of the measurements can be improved by matching the areas of the Hall cross and the array grown onto it by at least an order of magnitude. We predict that single particles of diameter as small as 10 nm can be measured if grown onto a Hall cross of appropriate size.