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Mutzafi M, Kaminer I, Harari G, et al. Non-diffracting multi-electron vortex beams balancing their electron-electron interactions. Nat Commun. 2017;8(1):650doi: 10.1038/s41467-017-00651-z.
Mutzafi, M., Kaminer, I., Harari, G., & Segev, M. (2017). Non-diffracting multi-electron vortex beams balancing their electron-electron interactions. Nature communications, 8(1), 650. https://doi.org/10.1038/s41467-017-00651-z
Mutzafi, Maor, et al. "Non-diffracting multi-electron vortex beams balancing their electron-electron interactions." Nature communications vol. 8,1 (2017): 650. doi: https://doi.org/10.1038/s41467-017-00651-z
Mutzafi M, Kaminer I, Harari G, Segev M. Non-diffracting multi-electron vortex beams balancing their electron-electron interactions. Nat Commun. 2017 Sep 21;8(1):650. doi: 10.1038/s41467-017-00651-z. PMID: 28935885; PMCID: PMC5608825.
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Nat Commun. 2017 Sep 21;8(1):650. doi: 10.1038/s41467-017-00651-z.

Non-diffracting multi-electron vortex beams balancing their electron-electron interactions.

Nature communications

Maor Mutzafi, Ido Kaminer, Gal Harari, Mordechai Segev

Affiliations

  1. Physics Department and Solid State Institute, Technion, Haifa, 32000, Israel.
  2. Department of Physics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA, 02139, USA.
  3. Physics Department and Solid State Institute, Technion, Haifa, 32000, Israel. [email protected].

PMID: 28935885 PMCID: PMC5608825 DOI: 10.1038/s41467-017-00651-z

Abstract

The wave-like nature of electrons has been known for almost a century, but only in recent years has the ability to shape the wavefunction of EBeams (Electron-Beams) become experimentally accessible. Various EBeam wavefunctions have been demonstrated, such as vortex, self-accelerating, Bessel EBeams etc. However, none has attempted to manipulate multi-electron beams, because the repulsion between electrons rapidly alters the beam shape. Here, we show how interference effects of the quantum wavefunction describing multiple electrons can be used to exactly balance both the repulsion and diffraction-broadening. We propose non-diffracting wavepackets of multiple electrons, which can also carry orbital angular momentum. Such wavefunction shaping facilitates the use of multi-electron beams in electron microscopy with higher current without compromising on spatial resolution. Simulating the quantum evolution in three-dimensions and time, we show that imprinting such wavefunctions on electron pulses leads to shape-preserving multi-electrons ultrashort pulses. Our scheme applies to any beams of charged particles, such as protons and ion beams.Vortex electron beams are generated using single electrons but their low beam-density is a limitation in electron microscopy. Here the authors propose a scheme for the realization of non-diffracting electron beams by shaping wavepackets of multiple electrons and including electron-electron interactions.

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