Generalized Gouy Rotation of Electron Vortex beams in uniform magnetic fields Article Swipe

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Meng Qi , Xuan Liu , W. F. Mader , Zhen Yang , Liang Lü , Alexander J. Silenko , Pengming Zhang , Liping Zou ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2407.02788

The intrinsic rotation of electron vortex beams, governed by their phase structure, has been experimentally observed in magnetic fields by breaking the beam's cylindrical symmetry. However, conventional Landau states, which predict three fixed angular frequencies, cannot fully account for the existing experimental observations. To address this limitation, we introduce and derive the generalized Gouy rotation angle, which links the Gouy phase of an extended Landau state -- featuring a periodically oscillating beam width -- to the experimentally observed angular variation. In particular, this framework predicts a broader spectrum of angular frequencies and captures the reversal of rotation direction observed in electron vortex beams with negative topological charge. Calculations based on experimental parameters show good agreement with previously published data and are further validated here by numerical simulations using the Chebyshev method. Our results are, in principle, applicable to any system involving electron vortex beams in uniform magnetic fields, and provide a foundation for exploring vortex electrons in Glaser and other nonuniform magnetic fields.

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Condensed Matter Physics

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Vortex Rotation (mathematics) Electron Physics Magnetic field Condensed matter physics Classical mechanics Mechanics Geometry Quantum mechanics Mathematics

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2407.02788
PDF: https://arxiv.org/pdf/2407.02788
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4400375930

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DOI: https://doi.org/10.48550/arxiv.2407.02788

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Title: Generalized Gouy Rotation of Electron Vortex beams in uniform magnetic fields

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Type: preprint

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Language: en

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Publication year: 2024

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Publication date: 2024-07-03

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Authors: Meng Qi, Xuan Liu, W. F. Mader, Zhen Yang, Liang Lü, Alexander J. Silenko, Pengming Zhang, Liping Zou

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Landing page: https://arxiv.org/abs/2407.02788

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Concepts: Vortex, Rotation (mathematics), Electron, Physics, Magnetic field, Condensed matter physics, Classical mechanics, Mechanics, Geometry, Quantum mechanics, Mathematics

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