Research Report on Resonant Tunneling Effect in Double-Barrier Structures

Chengrui Tang

2025

Abstract

This study systematically investigates the resonant tunneling effect and transmission characteristics of double-barrier structures through theoretical analysis and numerical simulations. Based on the Schrödinger equation under the effective mass approximation, analytical expressions for the transmission coefficient and resonance conditions are derived, revealing that resonance energy levels are dominated by quantum well coupling effects. The transmission spectrum is proven to exhibit a Lorentzian-shaped distribution near resonance energies. Further numerical calculations using the transfer matrix method (TMM) validate the conservation of probability (T + R ≈ 1) and demonstrate a single dominant resonance peak (T > 0.9). The results indicate that barrier height (V₀), barrier width (w), and well width (d) significantly influence the position and width of resonance peaks, providing a theoretical foundation for optimizing resonant tunneling devices. By combining analytical derivations with numerical verification, this work deepens the understanding of electron transport mechanisms in multi-barrier quantum structures, offering potential applications in high-speed electronic devices and quantum engineering.

Paper Citation

in Harvard Style

Tang C. (2025). Research Report on Resonant Tunneling Effect in Double-Barrier Structures. In Proceedings of the 2nd International Conference on Innovations in Applied Mathematics, Physics, and Astronomy - Volume 1: IAMPA; ISBN 978-989-758-774-0, SciTePress, pages 291-294. DOI: 10.5220/0013824400004708

in Bibtex Style

@conference{iampa25,
author={Chengrui Tang},
title={Research Report on Resonant Tunneling Effect in Double-Barrier Structures},
booktitle={Proceedings of the 2nd International Conference on Innovations in Applied Mathematics, Physics, and Astronomy - Volume 1: IAMPA},
year={2025},
pages={291-294},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013824400004708},
isbn={978-989-758-774-0},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 2nd International Conference on Innovations in Applied Mathematics, Physics, and Astronomy - Volume 1: IAMPA
TI - Research Report on Resonant Tunneling Effect in Double-Barrier Structures
SN - 978-989-758-774-0
AU - Tang C.
PY - 2025
SP - 291
EP - 294
DO - 10.5220/0013824400004708
PB - SciTePress