{"id":36831,"date":"2002-02-01T21:07:40","date_gmt":"2002-02-01T21:07:40","guid":{"rendered":"https:\/\/silvaco.com\/%e6%9c%aa%e5%88%86%e7%b1%bb\/modeling-of-charge-distribution-using-schrodinger-poisson-equations-application-to-double-gate-gaa-soi-transistor\/"},"modified":"2021-10-13T10:47:19","modified_gmt":"2021-10-13T17:47:19","slug":"modeling-of-charge-distribution-using-schrodinger-poisson-equations-application-to-double-gate-gaa-soi-transistor","status":"publish","type":"post","link":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/modeling-of-charge-distribution-using-schrodinger-poisson-equations-application-to-double-gate-gaa-soi-transistor\/","title":{"rendered":"Modeling of Charge Distribution Using Schrodinger-Poisson Equations: Application to Double-Gate GAA-SOI Transistor"},"content":{"rendered":"<div id='template_overview'  class='avia-section main_color avia-section-small avia-no-border-styling  avia-bg-style-scroll  avia-builder-el-0  el_before_av_section  avia-builder-el-first   container_wrap fullsize' style='background-color: #ffffff;  margin-top:0px; margin-bottom:0px; '  ><div class='container' ><main  role=\"main\" itemprop=\"mainContentOfPage\"  class='template-page content  av-content-full alpha units'><div class='post-entry post-entry-type-page post-entry-36831'><div class='entry-content-wrapper clearfix'>\n<div class='flex_column_table av-equal-height-column-flextable -flextable' style='margin-top:20px; margin-bottom:0px; '><div class=\"flex_column av_three_fourth  flex_column_table_cell av-equal-height-column av-align-top first  avia-builder-el-1  el_before_av_one_fourth  avia-builder-el-first  \" style='padding:0px 0px 0px 0px ; border-radius:0px; '><section class=\"av_textblock_section \"  itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/BlogPosting\" itemprop=\"blogPost\" ><div class='avia_textblock  '   itemprop=\"text\" ><h1>Modeling of Charge Distribution Using Schrodinger-Poisson Equations: Application to Double-Gate GAA-SOI Transistor<\/h1>\n<h3>Introduction<\/h3>\n<p>The Gate-All-Around SOI transistor [1], in which the gate oxide and the gate electrode are wrapped around the semiconductor region between the source and drain electrodes, exhibits very attractive features [2,3]. This device has been shown to present excellent Ion\/Ioff trade-off, good threshold voltage roll-off reduction and better resisting to short-channel effect and DIBL. In this study, based on the self-consistent solution of Schrodinger and Poisson equations, we attempt to show that the maximum of electrons concentration can be located in the middle of the semiconductor film and that it exist an &#8220;optimal&#8221; thickness of the Si-film. This is a major divergence with classical models which predict always the maximum of electron concentration at the semiconductor interface and that the reduction of the film thickness is always better against parasitic effects.<\/p>\n<\/div><\/section><\/div><div class='av-flex-placeholder'><\/div><div class=\"flex_column av_one_fourth  flex_column_table_cell av-equal-height-column av-align-top av-zero-column-padding   avia-builder-el-3  el_after_av_three_fourth  avia-builder-el-last  \" style='border-radius:0px; ' id=\"whitepaper\" ><p><div  class='avia-builder-widget-area clearfix  avia-builder-el-4  el_before_av_image  avia-builder-el-first '><div id=\"nav_menu-29\" class=\"widget clearfix widget_nav_menu\"><div class=\"menu-simulation-standard-side-menu-chinese-simplified-container\"><ul id=\"menu-simulation-standard-side-menu-chinese-simplified\" class=\"menu\"><li id=\"menu-item-35571\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-35571\"><a href=\"https:\/\/silvaco.com\/zh-hans\/technical-library\/simulation-standard\/\">Simulation Standard<\/a><\/li>\n<\/ul><\/div><\/div><\/div><br \/>\n<div  class='avia-image-container  av-styling-    avia-builder-el-5  el_after_av_sidebar  el_before_av_button  avia-align-center '  itemprop=\"image\" itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/ImageObject\"  ><div class='avia-image-container-inner'><div class='avia-image-overlay-wrap'><a href=\"\/dynamicweb\/jsp\/downloads\/DownloadDocStepsAction.do?req=download&amp;nm=simstd_feb_2002_a3.pdf\" class='avia_image' target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" width=\"1287\" height=\"1669\" class='wp-image-21790 avia-img-lazy-loading-not-21790 avia_image' src=\"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_2002_a3.jpg\" alt='' title='simstd_feb_2002_a3'  itemprop=\"thumbnailUrl\" srcset=\"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_2002_a3.jpg 1287w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_2002_a3-231x300.jpg 231w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_2002_a3-794x1030.jpg 794w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_2002_a3-768x996.jpg 768w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_2002_a3-1184x1536.jpg 1184w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_2002_a3-1157x1500.jpg 1157w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_2002_a3-544x705.jpg 544w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_2002_a3-29x37.jpg 29w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_2002_a3-42x55.jpg 42w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_2002_a3-37x48.jpg 37w\" sizes=\"(max-width: 1287px) 100vw, 1287px\" \/><\/a><\/div><\/div><\/div><br \/>\n<div  class='avia-button-wrap avia-button-center  avia-builder-el-6  el_after_av_image  avia-builder-el-last ' ><a href='\/dynamicweb\/jsp\/downloads\/DownloadDocStepsAction.do?req=download&amp;nm=simstd_feb_2002_a3.pdf' class='avia-button  avia-color-grey   avia-icon_select-yes-right-icon avia-size-small avia-position-center ' target=\"_blank\" rel=\"noopener noreferrer\"><span class='avia_iconbox_title' >Download Simulation Standard<\/span><span class='avia_button_icon avia_button_icon_right' aria-hidden='true' data-av_icon='\ue875' data-av_iconfont='entypo-fontello'><\/span><\/a><\/div><\/p><\/div><\/div><!--close column table wrapper. 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Autoclose: 1 -->\n<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Gate-All-Around SOI transistor [1], in which the gate oxide and the gate electrode are wrapped around the semiconductor region between the source and drain electrodes, exhibits very attractive features [2,3]. This device has been shown to present excellent Ion\/Ioff trade-off, good threshold voltage roll-off reduction and better resisting to short-channel effect and DIBL. In this study, based on the self-consistent solution of Schrodinger and Poisson equations, we attempt to show that the maximum of electrons concentration can be located in the middle of the semiconductor film and that there exists<br \/>\n an &#8220;optimal&#8221; thickness of the Si-film.<\/p>\n","protected":false},"author":2,"featured_media":21790,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7723],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.0 (Yoast SEO v24.0) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Modeling of Charge Distribution Using Schrodinger-Poisson Equations: Application to Double-Gate GAA-SOI Transistor - Silvaco<\/title>\n<meta name=\"description\" content=\"Modeling of Charge Distribution Using Schrodinger-Poisson Equations: Application to Double-Gate GAA-SOI Transistor\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/modeling-of-charge-distribution-using-schrodinger-poisson-equations-application-to-double-gate-gaa-soi-transistor\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Modeling of Charge Distribution Using Schrodinger-Poisson Equations: Application to Double-Gate GAA-SOI Transistor\" \/>\n<meta property=\"og:description\" content=\"Modeling of Charge Distribution Using Schrodinger-Poisson Equations: Application to Double-Gate GAA-SOI Transistor\" \/>\n<meta property=\"og:url\" content=\"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/modeling-of-charge-distribution-using-schrodinger-poisson-equations-application-to-double-gate-gaa-soi-transistor\/\" \/>\n<meta property=\"og:site_name\" content=\"Silvaco\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/SilvacoSoftware\/\" \/>\n<meta property=\"article:published_time\" content=\"2002-02-01T21:07:40+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-10-13T17:47:19+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_feb_2002_a3.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1287\" \/>\n\t<meta property=\"og:image:height\" content=\"1669\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Graham Bell\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@SilvacoSoftware\" \/>\n<meta name=\"twitter:site\" content=\"@SilvacoSoftware\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Graham Bell\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/modeling-of-charge-distribution-using-schrodinger-poisson-equations-application-to-double-gate-gaa-soi-transistor\/\",\"url\":\"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/modeling-of-charge-distribution-using-schrodinger-poisson-equations-application-to-double-gate-gaa-soi-transistor\/\",\"name\":\"Modeling of Charge Distribution Using Schrodinger-Poisson Equations: Application to Double-Gate GAA-SOI Transistor - 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