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  • Letter

Charge transport and mode transition in dual-energy electron beam diodes

Chubin Lin1, Jiandong Chen1, Huihui Wang2, and Yangyang Fu1,3,4,*

  • *Contact author: fuyangyang@tsinghua.edu.cn

Phys. Rev. E 113, L053203 – Published 20 May, 2026

DOI: https://doi.org/10.1103/4nj4-pncx

Abstract

This Letter uncovers five distinct charge transport modes and their transitions in dual-energy electron beam diodes. We via first-principle particle-in-cell (PIC) simulations establish that the specific mode (e.g., space-charge oscillations) and the current transmitted characteristics are essentially governed by the interplay between the electron beam energy and the injected current density. The effective space-charge-limited (SCL) current (lower than the conventional SCL threshold) is unveiled due to the coupled interactions between two electron beams. A generalized analysis is conducted for n-component electron beams, and a theoretical piecewise function for the transmitted current density is proposed, which agrees well with the PIC results under designed conditions. The discovery provides a mechanistic picture of multiple electron beam transport in diodes, paving the way for novel designs of high-performance modern vacuum electronic devices.

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