{"id":1909,"date":"2011-05-01T19:31:10","date_gmt":"2011-05-01T19:31:10","guid":{"rendered":"http:\/\/casgroups.case.edu\/physics-senior-projects\/?p=1909"},"modified":"2016-06-07T19:36:36","modified_gmt":"2016-06-07T19:36:36","slug":"modeling-of-semiconducting-cylindrical-nanowires","status":"publish","type":"post","link":"https:\/\/casgroups.case.edu\/physics-senior-projects\/modeling-of-semiconducting-cylindrical-nanowires\/","title":{"rendered":"Modeling of Semiconducting Cylindrical Nanowires"},"content":{"rendered":"<h3 align=\"center\"><span class=\"style22\">Thomas Birkel with Walther Lambrecht<\/span><\/h3>\n<h3 align=\"center\"><span class=\"style27\"><u>Modeling of Semiconducting Cylindrical Nanowires<\/u><\/span><\/h3>\n<p align=\"justify\">Recently, advances have been made to create nanowires that are also ferromagnetic, creating the potential to apply these nanowires to spintronic technology.\u00a0 The crystalline structure grown this way is cylindrical in shape, thereby requiring a cylindrical model to accurately determine the energies of the system. Taking into consideration the conduction of electrons in a crystalline solid, a Bloch envelope function is required to fully describe the wavefunction of a single electron in the nanowire. Furthermore, the semiconducting properties cause changes in the effective mass of the electron, due to the split degeneracy of higher and lower energy bands. Each of these qualities will be discussed, both analytically and numerically, as well as the possibility of a complete solution that accurately describes a semiconducting cylindrical nanowire.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Thomas Birkel with Walther LambrechtModeling of Semiconducting Cylindrical Nanowires<\/p>\n<p align=\"justify\">Recently, advances have been made to create nanowires that are also ferromagnetic, creating the potential to apply these nanowires to spintronic technology.\u00a0 The crystalline structure grown this way is cylindrical in shape, thereby requiring a cylindrical model to accurately determine the energies of the system. Taking into consideration the conduction of electrons in a crystalline solid, a Bloch envelope function is required to fully describe the wavefunction of a single electron in the nanowire. Furthermore, the semiconducting properties cause changes in the effective mass of the electron, due to the split degeneracy of higher and lower energy bands.<\/p>\n<p><a href=\"https:\/\/casgroups.case.edu\/physics-senior-projects\/modeling-of-semiconducting-cylindrical-nanowires\/\" class=\"more-link\">Continue reading&#8230; <span class=\"screen-reader-text\">Modeling of Semiconducting Cylindrical Nanowires<\/span><\/a><\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[47,1],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/casgroups.case.edu\/physics-senior-projects\/wp-json\/wp\/v2\/posts\/1909"}],"collection":[{"href":"https:\/\/casgroups.case.edu\/physics-senior-projects\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/casgroups.case.edu\/physics-senior-projects\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/casgroups.case.edu\/physics-senior-projects\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/casgroups.case.edu\/physics-senior-projects\/wp-json\/wp\/v2\/comments?post=1909"}],"version-history":[{"count":2,"href":"https:\/\/casgroups.case.edu\/physics-senior-projects\/wp-json\/wp\/v2\/posts\/1909\/revisions"}],"predecessor-version":[{"id":1928,"href":"https:\/\/casgroups.case.edu\/physics-senior-projects\/wp-json\/wp\/v2\/posts\/1909\/revisions\/1928"}],"wp:attachment":[{"href":"https:\/\/casgroups.case.edu\/physics-senior-projects\/wp-json\/wp\/v2\/media?parent=1909"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/casgroups.case.edu\/physics-senior-projects\/wp-json\/wp\/v2\/categories?post=1909"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/casgroups.case.edu\/physics-senior-projects\/wp-json\/wp\/v2\/tags?post=1909"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}