CERMIT single spin

Overview

The experiments calculate the effective force on a cantilever from a single electron spin located directly below a magnet-tipped cantilever in the “hangdown” and SPAM geometries. There are two experiments in the group: cantilever spin constant shift calculated using the Trapezoid rule (“CermitSingleSpinApprox”), and cantilever spring constant shift calculated directly using elliptic integrals (“CermitSingleSpin”). The exact solution only works for spin directly under a spherical magnet. The experiments are adopted from Section 3.5 of Eric Moore’s dissertation. [1]

[1]

Moore, E. W, and Marohn, J. A. “1. Mechanical Detection Of Electron Spin Resonance From Nitroxide Spin Probes, 2. Ultrasensitive Cantilever Torque Magnetometry Of Magnetization Switching In Individual Nickel Nanorods”. Dissertation. Cornell, 2011.

Experiment Summary

mrfmsim.experiment.CermitSingleSpinGroup

Simulates an MRFM experiment in the "hangdown" or SPAM geometry where a single electron spin is located directly below the tip.

mrfmsim.experiment.CermitSingleSpinGroup = <mrfmsim.group.ExperimentGroup 'CermitSingleSpinGroup'>

Simulates an MRFM experiment in the “hangdown” or SPAM geometry where a single electron spin is located directly below the tip. With a small tip, the motion of the cantilever is not negligible on the scale of the magnet tip and the tip sample separation. We evaluate the full expression for the change in cantilever frequency including the effect of the oscillating cantilever tip.

• CermitSingleSpinApprox

  CermitSingleSpinApprox(grid_array, h, magnet, sample, trapz_pts, x_0p)
  returns: dk_spin
  group: CermitSingleSpinGroup
  graph: CermitSingleSpinApprox_graph
  handler: MemHandler
  
  Approximated solution with Trapezoid rules for single spin CEMRIT ESR. The
  experiment is for a single spin located directly under a spherical magnet.
  

• CermitSingleSpin

  CermitSingleSpin(geometry, magnet, magnet_spin_dist, sample, x_0p)
  returns: dk_spin
  group: CermitSingleSpinGroup
  graph: CermitSingleSpin_graph
  handler: MemHandler
  
  Full spring constant solution using analytical expression. The experiment is for
  a single spin located directly under a spherical magnet.