{"id":9229,"date":"2023-10-17T10:00:58","date_gmt":"2023-10-17T08:00:58","guid":{"rendered":"https:\/\/fermi.univ-tlse3.fr\/?post_type=tribe_events&#038;p=9229"},"modified":"2023-10-18T08:36:09","modified_gmt":"2023-10-18T06:36:09","slug":"the-multi-channel-dyson-equation-coupling-many-body-greens-functions-gabriele-riva-lcpq-theses-24-10-2023-13h30","status":"publish","type":"tribe_events","link":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/the-multi-channel-dyson-equation-coupling-many-body-greens-functions-gabriele-riva-lcpq-theses-24-10-2023-13h30\/","title":{"rendered":"The multi-channel Dyson equation: coupling many-body Green\u2019s functions. &#8211; (Gabriele Riva \/ LCPQ \/ Th\u00e8se). &#8211; 24\/10\/2023, 13H30"},"content":{"rendered":"<p><span style=\"font-size: 20px;\"><strong><span style=\"color: #2f4f4f;\">Soutenance de th\u00e8se<\/span><\/strong><\/span><\/p>\n<p><strong><span style=\"font-size: 20px; color: #191970;\">Gabriele Riva, <\/span><\/strong>LCPQ, Salle de Conf\u00e9rence FERMI 3R4<\/p>\n<p><span style=\"color: #191970; font-size: 20px;\"><strong>Summary :<\/strong><\/span><br \/>\nIn this thesis we concentrate on the ab-initio theoretical description of photoemission and optical spectroscopy. These two techniques are valuable tools to get information about the electronic structure, which is the cornerstone of our understanding of material properties. We present the multi-channel Dyson equation that combines two or more many-body Green&rsquo;s functions to describe the electronic structure of materials. First, we use it to model photoemission spectra by coupling the one-body Green&rsquo;s function with the three-body Green&rsquo;s function.<\/p>\n<p>We demonstrate that, unlike methods using only the one-body Green&rsquo;s function, our approach puts the description of quasiparticles and satellites on an equal footing. We propose a multi-channel self-energy that is static and only contains the bare Coulomb interaction, making frequency convolutions and self-consistency unnecessary. Despite its simplicity, we demonstrate with a diagrammatic analysis that the physics it describes is extremely rich. We then use our new framework to model absorption spectra by coupling the two-body Green&rsquo;s function with the four-body Green&rsquo;s function. Also in this case the corresponding multi-channel self-energy is static and yet it contains a rich physics. This approach should be able to give a more complete description of absorption, by naturally including also double excitations. We finally apply the multi-channel Dyson equation that couples the one-body and three-body channels to the Hubbard dimer and show that it is exact both at 1\/4 and 1\/2 filling.<\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<p class=\"western\"><code class=\"western\"><div class=\"leaflet-map WPLeafletMap\" style=\"height:300px; width:70%;\"><\/div><script>\nwindow.WPLeafletMapPlugin = window.WPLeafletMapPlugin || [];\nwindow.WPLeafletMapPlugin.push(function WPLeafletMapShortcode() {\/*<script>*\/\nvar baseUrl = atob('aHR0cHM6Ly97c30udGlsZS5vcGVuc3RyZWV0bWFwLm9yZy97en0ve3h9L3t5fS5wbmc=');\nvar base = (!baseUrl && window.MQ) ?\n    window.MQ.mapLayer() : L.tileLayer(baseUrl,\n        L.Util.extend({}, {\n            detectRetina: 0,\n        },\n        {\"subdomains\":\"abc\",\"noWrap\":false,\"maxZoom\":18}        )\n    );\n    var options = L.Util.extend({}, {\n        layers: [base],\n        attributionControl: false\n    },\n    {\"zoomControl\":true,\"scrollWheelZoom\":true,\"doubleClickZoom\":true,\"fitBounds\":true,\"minZoom\":9,\"maxZoom\":18,\"maxBounds\":null,\"attribution\":\"<a href=\\\"http:\\\/\\\/leafletjs.com\\\" title=\\\"Une biblioth\\u00e8que JS pour des cartes interactives\\\">Leaflet<\\\/a>; \\u00a9 <a href=\\\"http:\\\/\\\/www.openstreetmap.org\\\/copyright\\\">OpenStreetMap<\\\/a> contributeurs\"},\n    {});\nwindow.WPLeafletMapPlugin.createMap(options).setView([43.560830727361,1.4672373725804],16);window.WPLeafletMapPlugin.createScale({});});<\/script><\/code><\/p>\n<p class=\"western\"><code class=\"western\"><script>\nwindow.WPLeafletMapPlugin = window.WPLeafletMapPlugin || [];\nwindow.WPLeafletMapPlugin.push(function WPLeafletMarkerShortcode() {\/*<script>*\/\nvar map = window.WPLeafletMapPlugin.getCurrentMap();\nvar group = window.WPLeafletMapPlugin.getCurrentGroup();\nvar marker_options = window.WPLeafletMapPlugin.getIconOptions({});\nvar marker = L.marker(\n    [0,0],\n    marker_options\n);\nvar is_image = map.is_image_map;\n    marker.setLatLng( map.getCenter() );\nif (marker_options.draggable) {\n    marker.on('dragend', function () {\n        var latlng = this.getLatLng();\n        var lat = latlng.lat;\n        var lng = latlng.lng;\n        if (is_image) {\n            console.log('leaflet-marker y=' + lat + ' x=' + lng);\n        } else {\n            console.log('leaflet-marker lat=' + lat + ' lng=' + lng);\n        }\n    });\n}\nmarker.addTo( group );\nmarker.bindPopup(window.WPLeafletMapPlugin.unescape('&lt;strong class=&quot;&quot;&gt;Salle de conf\u00e9rence &lt;\/strong&gt;(- B\u00e2timent 3R4)'));window.WPLeafletMapPlugin.markers.push( marker );\n        });<\/script><\/code><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Soutenance de th\u00e8se Gabriele Riva, LCPQ, Salle de Conf\u00e9rence FERMI 3R4 Summary : In this thesis we concentrate on the ab-initio theoretical description of photoemission and optical spectroscopy. These two&hellip;&nbsp;<a href=\"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/the-multi-channel-dyson-equation-coupling-many-body-greens-functions-gabriele-riva-lcpq-theses-24-10-2023-13h30\/\" rel=\"bookmark\">Lire la suite &raquo;<span class=\"screen-reader-text\">The multi-channel Dyson equation: coupling many-body Green\u2019s functions. &#8211; (Gabriele Riva \/ LCPQ \/ Th\u00e8se). &#8211; 24\/10\/2023, 13H30<\/span><\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"template":"","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"","neve_meta_content_width":0,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":"","_tribe_events_status":"","_tribe_events_status_reason":"","footnotes":""},"tags":[],"tribe_events_cat":[48,308,310],"class_list":["post-9229","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-events","tribe_events_cat-hdr-thesis","tribe_events_cat-lcpq","cat_events","cat_hdr-thesis","cat_lcpq"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>The multi-channel Dyson equation: coupling many-body Green\u2019s functions. - (Gabriele Riva \/ LCPQ \/ Th\u00e8se). - 24\/10\/2023, 13H30 - FeRMI<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/the-multi-channel-dyson-equation-coupling-many-body-greens-functions-gabriele-riva-lcpq-theses-24-10-2023-13h30\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The multi-channel Dyson equation: coupling many-body Green\u2019s functions. - (Gabriele Riva \/ LCPQ \/ Th\u00e8se). - 24\/10\/2023, 13H30 - FeRMI\" \/>\n<meta property=\"og:description\" content=\"Soutenance de th\u00e8se Gabriele Riva, LCPQ, Salle de Conf\u00e9rence FERMI 3R4 Summary : In this thesis we concentrate on the ab-initio theoretical description of photoemission and optical spectroscopy. 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