{"id":631,"date":"2020-12-10T13:57:43","date_gmt":"2020-12-10T13:57:43","guid":{"rendered":"http:\/\/141.48.95.134\/?page_id=631"},"modified":"2020-12-11T08:42:23","modified_gmt":"2020-12-11T08:42:23","slug":"info","status":"publish","type":"page","link":"http:\/\/qft0.physik.uni-halle.de\/index.php\/pub\/info\/","title":{"rendered":"Info"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"631\" class=\"elementor elementor-631\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0516838 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0516838\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e4cfbc5\" data-id=\"e4cfbc5\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a0c79c6 elementor-widget elementor-widget-shortcode\" data-id=\"a0c79c6\" data-element_type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\"><font face=\"Arial,Helvetica\"><basefont size=\"4\"><font size=+1><b>Signatures of real-space geometry, topology, and metric tensor in quantum transport in periodically corrugated spaces<\/b><\/font><p><i>Schwager B., Appel T., Berakdar J.<\/i><\/p>Applied Physics Letters <b>128<\/b>, pp 034104  (2026)<br><br><p>The motion of a quantum particle constrained to a two-dimensional non-compact Riemannian manifold with nontrivial metric can be described by a flat-space Schr\u00f6dinger-type equation at the cost of introducing local mass and metric and geometry-induced effective potential with no classical counterpart. For a metric tensor periodically modulated along one dimension, the formation of bands is demonstrated and transport-related quantities are derived. Using S-matrix approach, the quantum conductance along the manifold is calculated and contrasted with conventional quantum transport methods in flat spaces. The topology, e.g., whether the manifold is simply connected, compact or non-compact shows up in global, non-local properties such as the Aharonov\u2013Bohm phase. The results vividly demonstrate emergent phenomena due to the interplay of reduced-dimensionality, particles quantum nature, geometry, and topology.<\/p><b>Full text: <\/b><p>PDF (295kB)<p><br><b> (For personal use only. Please send an email to our secretary if you need the paper.)<\/b><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"parent":462,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-631","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/qft0.physik.uni-halle.de\/index.php\/wp-json\/wp\/v2\/pages\/631","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/qft0.physik.uni-halle.de\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/qft0.physik.uni-halle.de\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/qft0.physik.uni-halle.de\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/qft0.physik.uni-halle.de\/index.php\/wp-json\/wp\/v2\/comments?post=631"}],"version-history":[{"count":7,"href":"http:\/\/qft0.physik.uni-halle.de\/index.php\/wp-json\/wp\/v2\/pages\/631\/revisions"}],"predecessor-version":[{"id":640,"href":"http:\/\/qft0.physik.uni-halle.de\/index.php\/wp-json\/wp\/v2\/pages\/631\/revisions\/640"}],"up":[{"embeddable":true,"href":"http:\/\/qft0.physik.uni-halle.de\/index.php\/wp-json\/wp\/v2\/pages\/462"}],"wp:attachment":[{"href":"http:\/\/qft0.physik.uni-halle.de\/index.php\/wp-json\/wp\/v2\/media?parent=631"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}