大学物理 ›› 2026, Vol. 45 ›› Issue (3): 40-.doi: 10.16854/j.cnki.1000-0712.250110

• 物理实验 • 上一篇    下一篇

一维非对称三方势垒的量子隧穿特性研究

吕俊毅,张奕亮,平梦超,张瑞,赖检辉,刘超飞   

  1. 江西理工大学 理学院,江西赣州341000
  • 收稿日期:2025-03-05 修回日期:2025-06-16 出版日期:2026-05-15 发布日期:2026-06-04
  • 作者简介:吕俊毅(2002—),男,江西赣州人,江西理工大学理学院2024级硕士研究生.
  • 基金资助:
    本文得到国家自然科学基金项目(No.12375014、No.11875149)、江西省青年井冈学者计划以及江西理工大学清江拔尖人才计划的资助

Study on quantum tunneling characteristics of one-dimensional#br# asymmetric tripartite barrier double-well model#br#

LV Jun-yi, ZHANG Yi-liang, PING Meng-chao, ZHANG Rui, LAI Jian-hui, LIU Chao-fei   

  1. Faculty of Science, Jiangxi University of Science and Technology, Ganzhou, Jiangxi 341000, China
  • Received:2025-03-05 Revised:2025-06-16 Online:2026-05-15 Published:2026-06-04

摘要: 本文将不同三方势垒分为五类,系统性探究了它们对隧穿效应的影响.研究表明,不同的势垒排列类型对透射系数的影响存在差异,在高入射能量下,递增型势垒,递减型势垒和中间高两边低型势垒的透射系数较高;而在低入射能量下,水平型势垒和中间低两边高型势垒的透射系数表现出较强的波动性.透射系数在不同的势垒间距下展现周期性振荡,且所有类型在较高入射能量条件下的振荡频率较大.在垒宽较小时,递增型势垒的透射系数展现周期性双峰特性,且会随着入射能量的减少逐渐变成周期性单峰结构;相反,递减型势垒会随着入射能量的减少,其透射系数由周期性单峰结构变成周期性双峰结构.在高入射能量时,中间高两边低型势垒随着垒宽增加,透射系数波动幅度基本保持不变;相反,中间低两边高型势垒随着垒宽增加,透射系数波动幅度急剧增大.此外,本研究系统地探讨了五种三势垒阵列中的透射共振现象.我们发现,在垒宽不为0的条件下,确实能实现共振透射.本研究为理解三方势垒中的量子隧穿效应提供了详细的理论结果.

关键词: 非对称, 三方势垒, 量子隧穿, 透射系数

Abstract:

In this paper, different tripartite barrier arrangement types are classified into five categories and their influence on tunneling effect is systematically investigated. The results show that different barrier arrangement types have different effects on the transmission coefficient. At high incident energy, the transmission coefficient of increasing barrier, decreasing barrier and low barrier on both sides of middle high are higher. At low incident energy, the transmission coefficients of the horizontal barrier and the high barrier on both sides of the middle low barrier show strong fluctuation. The transmission coefficients oscillate periodically at different barrier spacing, and all types have larger oscillation frequencies at higher incident energies. When the barrier width is small, the transmission coefficient of the increasing barrier exhibits periodic bimodal characteristics, and gradually becomes periodic unimodal structure with the decrease of incident energy. On the contrary, with the decrease of incident energy, the transmission coefficient of the decreasing barrier changes from periodic unimodal structure to periodic bimodal structure. In the case of high incident energy, the fluctuation amplitude of transmission coefficient remains unchanged with the increase of barrier width. On the contrary, with the increase of barrier width, the fluctuation amplitude of transmission coefficient increases sharply. In addition, the transmission resonance phenomena in five kinds of triple barrier arrays are systematically investigated. We find that resonant transmission can be realized under the condition that the barrier width is not 0. This study provides detailed theoretical results for understanding the quantum tunneling effect in tripartite barriers.


Key words: asymmetric, triple-square potential barrier, quantum tunneling, transmission coefficient