{"id":120426,"date":"2015-08-28T02:00:00","date_gmt":"2015-08-27T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=5bac61bb1a91af6e4ee8169c609f3715"},"modified":"2015-08-28T02:00:00","modified_gmt":"2015-08-27T23:00:00","slug":"derivation-of-the-drude-conductivity-from-quantum-kinetic-equations","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=120426","title":{"rendered":"Derivation of the Drude conductivity from quantum kinetic equations"},"content":{"rendered":"<p>The Drude formula of ac (frequency-dependent) electric conductivity has been established as a simple<br \/>\nand practically useful model to understand the electromagnetic response of simple free-electron-like<br \/>\nmetals. In most textbooks of solid-state physics, the Drude formula is derived from either a<br \/>\nclassical equation of motion or the semiclassical Boltzmann transport equation. On the other hand,<br \/>\nquantum-mechanical derivation of the Drude conductivity, which requires an appropriate treatment of<br \/>\nphonon-assisted intraband transitions with small momentum transfer, has not been well documented<br \/>\nexcept for the zero- or high-frequency case. Here, a lucid derivation of the Drude conductivity that<br \/>\ncovers the entire frequency range is presented by means of quantum kinetic equations in the<br \/>\ndensity-matrix formalism. The derivation is straightforward so that advanced undergraduate students<br \/>\nor early-year graduate students will be able to gain insight into the link between the microscopic<br \/>\nSchr\u00f6dinger&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Drude formula of ac (frequency-dependent) electric conductivity has been established as a simple<br \/>\nand practically useful model to understand the electromagnetic response of simple free-electron-like<br \/>\nmetals. In most textbooks of solid-state physics&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-120426","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/120426","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=120426"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/120426\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=120426"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=120426"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=120426"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}