{"title":"Analysis of Surface States of Crystals Using Ideas of Dynamical Theory of Diffraction","authors":"M. K. Balyan","doi":"10.1134/S1068337226700295","DOIUrl":null,"url":null,"abstract":"<p>Dynamical theory of surface states of nearly free electrons in a semi-infinite crystal are investigated. In addition to the results known in the theory of Bloch wave formalism with a complex wave vector, some new results were obtained. In particular, it is shown that surface states can be realized only at sufficiently small Bragg angles. An estimate of this angle is obtained. The width of the spatial localization region of electrons near the surface is also estimated. It is found that it is of the order of several tens of Ångströms.</p>","PeriodicalId":623,"journal":{"name":"Journal of Contemporary Physics (Armenian Academy of Sciences)","volume":"61 1","pages":"76 - 83"},"PeriodicalIF":0.5000,"publicationDate":"2026-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Contemporary Physics (Armenian Academy of Sciences)","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1068337226700295","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Dynamical theory of surface states of nearly free electrons in a semi-infinite crystal are investigated. In addition to the results known in the theory of Bloch wave formalism with a complex wave vector, some new results were obtained. In particular, it is shown that surface states can be realized only at sufficiently small Bragg angles. An estimate of this angle is obtained. The width of the spatial localization region of electrons near the surface is also estimated. It is found that it is of the order of several tens of Ångströms.
期刊介绍:
Journal of Contemporary Physics (Armenian Academy of Sciences) is a journal that covers all fields of modern physics. It publishes significant contributions in such areas of theoretical and applied science as interaction of elementary particles at superhigh energies, elementary particle physics, charged particle interactions with matter, physics of semiconductors and semiconductor devices, physics of condensed matter, radiophysics and radioelectronics, optics and quantum electronics, quantum size effects, nanophysics, sensorics, and superconductivity.