Frequency shift in the oscillating cantilever-driven adiabatic reversals technique as a function of the spin location

TL;DR

This paper extends the theory of OSCAR in MRFM to relate frequency shifts to the spin's position, providing analytical estimates and insights for experimental spin localization.

Contribution

It introduces an analytical model for the frequency shift in OSCAR MRFM considering arbitrary spin locations, validated by numerical simulations.

Findings

Frequency shift depends on spin position with characteristic maxima and minima.

Analytical estimates agree well with numerical simulations.

Method can be used to determine spin location experimentally.

Abstract

The theory of the oscillating cantilever-driven adiabatic reversals (OSCAR) in magnetic resonance force microscopy (MRFM) is extended to describe the relation between an external magnetic field and a dipole magnetic field for an arbitrary location of the single spin. An analytical estimate for the OSCAR MRFM frequency shift is derived and shown to be in excellent agreement with numerical simulations. The dependence of the frequency shift on the position of the spin relative to the cantilever has characteristic maxima and minima which can be used to determine the spin location experimentally.