Authors:

Andrew LeClair

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Authors: Andrew LeClair Mentors: Samera Hossain (Nuclear Engineering), Dr. Allen Garner (Nuclear Engineering) The space-charge-limited current (SCLC) represents the maximum steady-state current that can be injected into a diode. In a semiconductor, this is given by the Mott-Gurney law (MGL) for a one- dimensional (1D), planar diode for electrons with zero injection velocity. Recent studies have extended the MGL to nonplanar 1D geometries and multiple dimensions by using point transformations to map the electric potential in the gap. This study uses the Sentaurus TCAD to validate these theories for more realistic geometries. We first compare the simulated SCLC in a planar NIN diode to theoretical results for the 2D planar MGL. We then compare simulation predictions for the SCLC for other geometries to theoretical results using the canonical gap distance obtained by point transformations. Future studies will explore the transition between the MGL and the vacuum SCLC, given by the Child- Langmuir law, by using the particle-in-cell code XPDP1 at different pressures. This work will elucidate device operation and limits across pressures for applications that include high-power microwave, thermionic energy converters, and semiconductors. Keywords: SURF; Particle in Cell; TCAD; SCLC (Space-Charge Limited Current); SCALE

Source:

Purdue University / 2025

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Co-authors:

Andrew LeClair