{"id":31315,"date":"2002-11-01T21:43:30","date_gmt":"2002-11-01T21:43:30","guid":{"rendered":"https:\/\/silvaco.com\/%eb%b6%84%eb%a5%98%eb%90%98%ec%a7%80-%ec%95%8a%ec%9d%8c\/quantum-modeling-part-i-poisson-schrodinger-solver\/"},"modified":"2021-07-16T22:01:32","modified_gmt":"2021-07-17T05:01:32","slug":"quantum-modeling-part-i-poisson-schrodinger-solver","status":"publish","type":"post","link":"https:\/\/silvaco.com\/ko\/simulation-standard-ko\/quantum-modeling-part-i-poisson-schrodinger-solver\/","title":{"rendered":"Quantum Modeling Part I: Poisson-Schrodinger Solver"},"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-31315'><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>Quantum Modeling Part I: Poisson-Schrodinger Solver<\/h1>\n<h3>Introduction<\/h3>\n<p>The trend toward smaller MOSFET devices with thinner gate oxide and greater doping is resulting in the increased importance of quantum mechanical effects, which are observed as shifts in threshold voltage and gate capacitance. Predicting these quantum effects requires solving the Schrodinger equation. This article (part 1 of a series) presents the Poisson-Schrodinger solver and its enhancements implemented in ATLAS from Silvaco. Section 2 presents the syntax used to perform the simulation. Section 3 presents the MOS-capacitor simulation results and compares them with results obtained with the University of Pisa code [1-6].<\/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-korean-container\"><ul id=\"menu-simulation-standard-side-menu-korean\" class=\"menu\"><li id=\"menu-item-25039\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-25039\"><a href=\"https:\/\/silvaco.com\/ko\/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_nov_2002_a3.pdf\" class='avia_image' target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" width=\"1287\" height=\"1669\" class='wp-image-22281 avia-img-lazy-loading-not-22281 avia_image' src=\"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_nov_2002_a3.jpg\" alt='' title='simstd_nov_2002_a3'  itemprop=\"thumbnailUrl\" srcset=\"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_nov_2002_a3.jpg 1287w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_nov_2002_a3-231x300.jpg 231w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_nov_2002_a3-794x1030.jpg 794w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_nov_2002_a3-768x996.jpg 768w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_nov_2002_a3-1184x1536.jpg 1184w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_nov_2002_a3-1157x1500.jpg 1157w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_nov_2002_a3-544x705.jpg 544w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_nov_2002_a3-29x37.jpg 29w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_nov_2002_a3-42x55.jpg 42w, https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_nov_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_nov_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 trend toward smaller MOSFET devices with thinner gate oxide and greater doping is resulting in the increased importance of quantum mechanical effects, which are observed as shifts in threshold voltage and gate capacitance. Predicting these quantum effects requires solving the Schrodinger equation. This article (part 1 of a series) presents the Poisson-Schrodinger solver and its enhancements implemented in ATLAS from Silvaco.<\/p>\n","protected":false},"author":2,"featured_media":22281,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7486],"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>Quantum Modeling Part I: Poisson-Schrodinger Solver - Silvaco<\/title>\n<meta name=\"description\" content=\"Quantum Modeling Part I: Poisson-Schrodinger Solver\" \/>\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\/ko\/simulation-standard-ko\/quantum-modeling-part-i-poisson-schrodinger-solver\/\" \/>\n<meta property=\"og:locale\" content=\"ko_KR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Quantum Modeling Part I: Poisson-Schrodinger Solver\" \/>\n<meta property=\"og:description\" content=\"Quantum Modeling Part I: Poisson-Schrodinger Solver\" \/>\n<meta property=\"og:url\" content=\"https:\/\/silvaco.com\/ko\/simulation-standard-ko\/quantum-modeling-part-i-poisson-schrodinger-solver\/\" \/>\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=\"2002-11-01T21:43:30+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-07-17T05:01:32+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/silvaco.com\/wp-content\/uploads\/simulationstandard\/simstd_nov_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=\"\uae00\uc4f4\uc774\" \/>\n\t<meta name=\"twitter:data1\" content=\"Graham Bell\" \/>\n\t<meta name=\"twitter:label2\" content=\"\uc608\uc0c1 \ub418\ub294 \ud310\ub3c5 \uc2dc\uac04\" \/>\n\t<meta name=\"twitter:data2\" content=\"5\ubd84\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/silvaco.com\/ko\/simulation-standard-ko\/quantum-modeling-part-i-poisson-schrodinger-solver\/\",\"url\":\"https:\/\/silvaco.com\/ko\/simulation-standard-ko\/quantum-modeling-part-i-poisson-schrodinger-solver\/\",\"name\":\"Quantum Modeling Part I: Poisson-Schrodinger Solver - 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