Abstract

A proposal for an electron-beam device that can act as an efficient spin-polarization filter has been recently put forward (Karimi et al 2012 Phys. Rev. Lett. 108 044801). It is based on combining the recently developed diffraction technology for imposing orbital angular momentum to the beam with a multipolar Wien filter inducing a sort of artificial non-relativistic spin–orbit coupling. Here we reconsider the proposed device with a fully quantum-mechanical simulation of the electron-beam propagation, based on the well-established multi-slice method, supplemented with a Pauli term for taking into account the spin degree of freedom. Using this upgraded numerical tool, we study the feasibility and practical limitations of the proposed method for spin polarizing a free electron beam.

Highlights

  • In electron microscopy, the electron spin has been, for a long time, a spectator degree of freedom

  • We have proposed an experiment based on the use of electron vortex beams, i.e. beams carrying orbital angular momentum (OAM)[ 11]

  • In this work, we introduce a simulation algorithm derived from the multi-slice method used for simulating electron-matter interaction, which is one of the most powerful tools to calculate dynamical scattering in transmission electron microscopy (TEM) [ 15]

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Summary

Introduction

The electron spin has been, for a long time, a spectator degree of freedom. While the classical spin precesses in presence of a magnetic field, a different phase is associated to each “trajectory” inside the quadrupole This phase, in turn, gives rise to a spin-dependent quantum interference effect in the radial direction, allowing for the electron separation according to their spin along this coordinate. In the present case we limit ourselves to the non-relativistic case, adding the sole Pauli term in the interaction Hamiltonian, while postpone to future work a full evaluation of all the relativistic corrections Based on this approach, we aim to reconsider in greater detail the proposed procedure to create beams of polarized electrons. Particular attention will be given to the polarized intensity in relation to the applied field, to the role of the fringing fields, and to the required emission coherence

Non-relativistic simulation model
Main relativistic corrections
Formalization of the spin-OAM interaction in q-filters
Limitations in the multi-slice
Feasibility of the spin-polarization experiment
Coherence issues
Fringing Fields
Findings
Conclusions
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