A Delta Barrier in a Well and its Generalization for Emission Studies

K. Jensen, J. Riga, A. Shabaev, M. Osofsky, J. Prestigiacomo, J. Petillo
{"title":"A Delta Barrier in a Well and its Generalization for Emission Studies","authors":"K. Jensen, J. Riga, A. Shabaev, M. Osofsky, J. Prestigiacomo, J. Petillo","doi":"10.1109/IVNC57695.2023.10188982","DOIUrl":null,"url":null,"abstract":"The transmission coefficient for a 6-function barrier is a convenient model for many technologically important applications relying on photoemission, simulations of wave packets, or modeling the narrow barrier of a normal- superconducting point contact. We examine an extension of the model to treat instead a function sequence (a rectangular barrier that approaches the behavior of a function in the limit of vanishing width). It is shown how the eigenstates of the sequence converge on the function barrier eigenstates, but more importantly, how the even and odd parity states depart from the 6-function limiting case. The exact eigenstates enable the time evolution of exponentially attenuated tunneling to be exactly evaluated, in contrast to numerical methods. The application is the inclusion of tunneling time effects in simulations of time-varying electron emission.","PeriodicalId":346266,"journal":{"name":"2023 IEEE 36th International Vacuum Nanoelectronics Conference (IVNC)","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2023 IEEE 36th International Vacuum Nanoelectronics Conference (IVNC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IVNC57695.2023.10188982","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

The transmission coefficient for a 6-function barrier is a convenient model for many technologically important applications relying on photoemission, simulations of wave packets, or modeling the narrow barrier of a normal- superconducting point contact. We examine an extension of the model to treat instead a function sequence (a rectangular barrier that approaches the behavior of a function in the limit of vanishing width). It is shown how the eigenstates of the sequence converge on the function barrier eigenstates, but more importantly, how the even and odd parity states depart from the 6-function limiting case. The exact eigenstates enable the time evolution of exponentially attenuated tunneling to be exactly evaluated, in contrast to numerical methods. The application is the inclusion of tunneling time effects in simulations of time-varying electron emission.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
井中的三角洲势垒及其在辐射研究中的推广
对于依赖于光发射、波包模拟或正常超导点接触的窄势垒建模的许多技术上重要的应用来说,6功能势垒的传输系数是一个方便的模型。我们研究了模型的扩展,以处理函数序列(在消失宽度的极限下接近函数行为的矩形屏障)。揭示了序列的特征态如何收敛于函数势垒特征态,更重要的是揭示了奇偶宇称态如何偏离六函数极限情况。与数值方法相比,精确的特征态使指数衰减隧道的时间演化能够被精确地评估。其应用是将隧穿时间效应纳入时变电子发射的模拟。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Integrated Silicon Electron Source for High Vacuum Mems Devices Effects of DC Bias on Quantum Pathways Interference in Two-Color Laser Induced Photoemission Beta Factor Mapping of Individual Emitting Tips During Integral Operation of Field Emission Arrays Miniature Mass Spectrometers for On-Site Chemical Analysis Study of Dielectric Nanolayers and Multilayer Coated Emitters
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1