{"title":"考虑到镜面系数与电子在表面上的入射角的关系的薄金属层的电导率","authors":"F. Karimov, A. Yushkanov","doi":"10.18384/2310-7251-2020-4-49-65","DOIUrl":null,"url":null,"abstract":"The aim of this work is to analyze the dependence of the electrical conductivity of a thin metal film on the nature of the dependence of the specularity coefficient on the angle of incidence of electrons on the metal surface. The dependence of the specularity coefficient on the angle of incidence is considered, satisfying the Andreev condition. Methodology . A model boundary condition is considered, taking into account the dependence of the specularity coefficient on the angle of incidence of electrons on the metal surface. Results. The considered model of the boundary conditions in the limiting cases transforms into the Fuchs boundary condition and into the Soffer boundary condition. In addition, the considered boundary condition, in contrast to the Fuchs and Soffer boundary conditions, satisfies the Andreev criterion for an almost tangential incidence of electrons on the metal surface. Research implications. The results obtained can find application in the study of the interaction of electromagnetic radiation with a thin metal film, wires, in small metal particles and in describing the skin effect in a metal.","PeriodicalId":33476,"journal":{"name":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","volume":"17 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"CONDUCTIVITY OF A THIN METAL LAYER TAKING INTO ACCOUNT THE DEPENDENCE OF THE SPECULARITY COEFFICIENT ON THE ANGLE OF THE ELECTRON’S INCIDENCE ON THE SURFACE\",\"authors\":\"F. Karimov, A. Yushkanov\",\"doi\":\"10.18384/2310-7251-2020-4-49-65\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aim of this work is to analyze the dependence of the electrical conductivity of a thin metal film on the nature of the dependence of the specularity coefficient on the angle of incidence of electrons on the metal surface. The dependence of the specularity coefficient on the angle of incidence is considered, satisfying the Andreev condition. Methodology . A model boundary condition is considered, taking into account the dependence of the specularity coefficient on the angle of incidence of electrons on the metal surface. Results. The considered model of the boundary conditions in the limiting cases transforms into the Fuchs boundary condition and into the Soffer boundary condition. In addition, the considered boundary condition, in contrast to the Fuchs and Soffer boundary conditions, satisfies the Andreev criterion for an almost tangential incidence of electrons on the metal surface. Research implications. The results obtained can find application in the study of the interaction of electromagnetic radiation with a thin metal film, wires, in small metal particles and in describing the skin effect in a metal.\",\"PeriodicalId\":33476,\"journal\":{\"name\":\"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika\",\"volume\":\"17 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18384/2310-7251-2020-4-49-65\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Vestnik moskovskogo gosudarstvennogo oblastnogo universiteta Seriia Fizikamatematika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18384/2310-7251-2020-4-49-65","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
CONDUCTIVITY OF A THIN METAL LAYER TAKING INTO ACCOUNT THE DEPENDENCE OF THE SPECULARITY COEFFICIENT ON THE ANGLE OF THE ELECTRON’S INCIDENCE ON THE SURFACE
The aim of this work is to analyze the dependence of the electrical conductivity of a thin metal film on the nature of the dependence of the specularity coefficient on the angle of incidence of electrons on the metal surface. The dependence of the specularity coefficient on the angle of incidence is considered, satisfying the Andreev condition. Methodology . A model boundary condition is considered, taking into account the dependence of the specularity coefficient on the angle of incidence of electrons on the metal surface. Results. The considered model of the boundary conditions in the limiting cases transforms into the Fuchs boundary condition and into the Soffer boundary condition. In addition, the considered boundary condition, in contrast to the Fuchs and Soffer boundary conditions, satisfies the Andreev criterion for an almost tangential incidence of electrons on the metal surface. Research implications. The results obtained can find application in the study of the interaction of electromagnetic radiation with a thin metal film, wires, in small metal particles and in describing the skin effect in a metal.