Electron-phonon interactions and the states of a crystal electron in an external electric field

D.J. Bergman, O. Entin-Wohlman
{"title":"Electron-phonon interactions and the states of a crystal electron in an external electric field","authors":"D.J. Bergman,&nbsp;O. Entin-Wohlman","doi":"10.1016/0031-8914(74)90308-5","DOIUrl":null,"url":null,"abstract":"<div><p>The effect of the electron-phonon interactions on the states of a single tightly bound electron in a one-dimensional crystal in an external electric field <em>F</em> is discussed with the help of a master equation for the occupation probabilities of electron states. It is found that the occupation probabilities of the Stark ladder states usually do not provide a good description of the state of the system despite the fact that these were eigenstates in the absence of the interactions. A good description is possible in terms of the occupation probabilities of time-dependent band states with <span><math><mtext>k(t) = k</mtext><msub><mi></mi><mn>o</mn></msub><mtext> + eFt/</mtext><mtext>h</mtext><mtext>̵</mtext></math></span> since these probabilities satisfy a markoffian master equation.</p></div>","PeriodicalId":55605,"journal":{"name":"Physica","volume":"78 1","pages":"Pages 45-63"},"PeriodicalIF":0.0000,"publicationDate":"1974-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0031-8914(74)90308-5","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physica","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0031891474903085","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1

Abstract

The effect of the electron-phonon interactions on the states of a single tightly bound electron in a one-dimensional crystal in an external electric field F is discussed with the help of a master equation for the occupation probabilities of electron states. It is found that the occupation probabilities of the Stark ladder states usually do not provide a good description of the state of the system despite the fact that these were eigenstates in the absence of the interactions. A good description is possible in terms of the occupation probabilities of time-dependent band states with k(t) = ko + eFt/h̵ since these probabilities satisfy a markoffian master equation.

电子-声子相互作用和晶体电子在外电场中的状态
利用电子态占据概率的主方程,讨论了电子-声子相互作用对外部电场F中一维晶体中单个紧束缚电子态的影响。研究发现,斯塔克阶梯状态的占据概率通常不能很好地描述系统的状态,尽管这些是在没有相互作用的情况下的特征态。用k(t) = ko + eFt/h的时间相关带态的占用概率来描述是可能的,因为这些概率满足markoff主方程。
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 求助全文
来源期刊
自引率
0.00%
发文量
0
×
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
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
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 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信