{"id":1089,"date":"2017-06-01T09:37:52","date_gmt":"2017-06-01T09:37:52","guid":{"rendered":"http:\/\/physics-complex-systems.fr\/?p=1089"},"modified":"2017-06-29T14:30:54","modified_gmt":"2017-06-29T14:30:54","slug":"quantum-mesoscopic-physics","status":"publish","type":"post","link":"https:\/\/physics-complex-systems.fr\/en\/quantum-mesoscopic-physics.html","title":{"rendered":"Quantum mesoscopic physics"},"content":{"rendered":"<p>[vc_row][vc_column css=&#8221;.vc_custom_1496399944725{margin-top: -40px !important;margin-bottom: -20px !important;}&#8221;][vc_separator][\/vc_column][\/vc_row][vc_row equal_height=&#8221;yes&#8221; content_placement=&#8221;top&#8221;][vc_column width=&#8221;1\/2&#8243;][vc_column_text]<\/p>\n<div style=\"text-align: justify; text-justify: inter-word; color: #363131;\">In this lecture, we explore transport properties of quantum systems whose dimensions are smaller than the characteristic phase coherence length. Below this length scale, the quantum nature of the electronic wavefunction shows up. In such systems, the complex interplay between disorder, Coulomb interaction and dimensionality results in original behaviours. By using Landauer formalism, we show how quantum statistics and electronic interferences affect the transport and break the classical laws for electricity. We\u00a0see also how non-equilibrium current fluctuations are related to the fundamental properties of these systems. Using Green\u2019s function formalism, we study\u00a0how the interplay between electronic interferences and disorder leads to universal conductance fluctuations, weak localization and even to persistent currents at equilibrium. Finally, we investigate the interplay between such a coherent system and a superconductor, which yields new fundamental transport mechanisms.<\/div>\n<div><\/div>\n<div><strong>Bibliography<\/strong><\/div>\n<ul>\n<li><em>Electronic Transport in Mesoscopic systems<\/em>, S. Datta, Cambridge University Press.<\/li>\n<li><em>The Physics of Nanoelectronics<\/em>, T. Heikkila, Oxford University Press.<\/li>\n<\/ul>\n<p>[\/vc_column_text][vc_column_text]<img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1092\" src=\"http:\/\/physics-complex-systems.fr\/wp-content\/uploads\/2017\/06\/Ferrier.jpg\" alt=\"\" width=\"93\" height=\"120\" \/>Meydi Ferrier<br \/>\n(Universit\u00e9 Paris-Sud\/Paris-Saclay)[\/vc_column_text][\/vc_column][vc_column width=&#8221;1\/2&#8243; css=&#8221;.vc_custom_1496308532682{background-color: #fcfcfc !important;}&#8221;][vc_single_image image=&#8221;1094&#8243; img_size=&#8221;full&#8221; alignment=&#8221;center&#8221; css=&#8221;.vc_custom_1496310484599{margin-top: -35px !important;}&#8221;][\/vc_column][\/vc_row][vc_row css=&#8221;.vc_custom_1496825491287{margin-top: 20px !important;}&#8221;][vc_column][vc_column_text]<\/p>\n<div class=\"displaytags\" style=\"color: #363131;\">Keywords : <span class=\"etiquette-key\">current fluctuations: fluctuation\/dissipation theorem<\/span> <span class=\"etiquette-key\">electronic interferences: weak localization<\/span> <span class=\"etiquette-key\">persistent currents<\/span> <span class=\"etiquette-key\">Quantum coherence<\/span> <span class=\"etiquette-key\">quantum electronic transport: Landauer and Kubo formalism<\/span> <span class=\"etiquette-key\">shot noise<\/span><\/div>\n<p>[\/vc_column_text][\/vc_column][\/vc_row]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column css=&#8221;.vc_custom_1496399944725{margin-top: -40px !important;margin-bottom: -20px !important;}&#8221;][vc_separator][\/vc_column][\/vc_row][vc_row equal_height=&#8221;yes&#8221; content_placement=&#8221;top&#8221;][vc_column width=&#8221;1\/2&#8243;][vc_column_text] In this lecture, we explore transport properties of quantum systems whose dimensions are smaller than the&#8230;<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[36,11,10],"tags":[68,66,67,64,65,69],"translation":{"provider":"WPGlobus","version":"2.12.2","language":"en","enabled_languages":["fr","en"],"languages":{"fr":{"title":true,"content":true,"excerpt":false},"en":{"title":false,"content":false,"excerpt":false}}},"_links":{"self":[{"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/posts\/1089"}],"collection":[{"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/comments?post=1089"}],"version-history":[{"count":10,"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/posts\/1089\/revisions"}],"predecessor-version":[{"id":2118,"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/posts\/1089\/revisions\/2118"}],"wp:attachment":[{"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/media?parent=1089"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/categories?post=1089"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/tags?post=1089"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}