{"id":42767,"date":"2022-08-23T14:46:57","date_gmt":"2022-08-23T21:46:57","guid":{"rendered":"https:\/\/silvaco.com\/uncategorized\/simulation-standard-quantum-transport-simulation-at-atomistic-accuracy-of-a-nanowire-fet\/"},"modified":"2023-03-09T10:44:27","modified_gmt":"2023-03-09T18:44:27","slug":"simulation-standard-quantum-transport-simulation-at-atomistic-accuracy-of-a-nanowire-fet","status":"publish","type":"post","link":"https:\/\/silvaco.com\/ja\/simulation-standard\/quantum-transport-simulation-at-atomistic-accuracy-of-a-nanowire-fet\/","title":{"rendered":"Quantum Transport Simulation at Atomistic Accuracy  of a Nanowire FET"},"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  avia-builder-el-no-sibling   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-42767'><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 Transport Simulation at Atomistic Accuracy of a Nanowire FET<\/h1>\n<h3>I. ABSTRACT<\/h3>\n<p class=\"p1\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-42757 alignright\" src=\"https:\/\/silvaco.com\/wp-content\/uploads\/2022\/08\/Atomistic-Simulation-300x154.png\" alt=\"SimStd Aug 2022 Image\" width=\"251\" height=\"129\" srcset=\"https:\/\/silvaco.com\/wp-content\/uploads\/2022\/08\/Atomistic-Simulation-300x154.png 300w, https:\/\/silvaco.com\/wp-content\/uploads\/2022\/08\/Atomistic-Simulation-1030x530.png 1030w, https:\/\/silvaco.com\/wp-content\/uploads\/2022\/08\/Atomistic-Simulation-768x395.png 768w, https:\/\/silvaco.com\/wp-content\/uploads\/2022\/08\/Atomistic-Simulation-705x363.png 705w, https:\/\/silvaco.com\/wp-content\/uploads\/2022\/08\/Atomistic-Simulation-43x22.png 43w, https:\/\/silvaco.com\/wp-content\/uploads\/2022\/08\/Atomistic-Simulation-63x32.png 63w, https:\/\/silvaco.com\/wp-content\/uploads\/2022\/08\/Atomistic-Simulation-48x25.png 48w, https:\/\/silvaco.com\/wp-content\/uploads\/2022\/08\/Atomistic-Simulation.png 1104w\" sizes=\"(max-width: 251px) 100vw, 251px\" \/>Ultra-scaled field-effect transistor (FET) technology requires simulations at the atomic scale for designing the most advanced technological architectures, at 5 nm node and below. We present in detail the Victory Atomistic solution inherited from Nemo5 [1]. Thanks to a combination of non-equilibrium Green\u2019s functions (NEGF) and state-of-the-art band structure calculations, versatile, predictive, and fast simulations become accessible for electron-phonon interaction within the self-consistent Born approximation, optimized by a generalized low-rank projection [2]. To illustrate the Victory Atomistic usage, we choose a silicon nanowire field-effect transistor (NWFET) of small cross-section, including several e-ph scattering mechanisms. This Simulation Standard paper aims to show how simulating NWFETs becomes easy to perform without full academic knowledge of the NEGF theory: 1) the complexity is hidden inside the simulation tool which benefits from years of development at the best level, 2) its optimization allows users to obtain a meaningful I(V) curve daily with an affordable modern computer, 3) its integration within the Silvaco environment provides a smooth transition for TCAD users.<\/p>\n<h3>II. INTRODUCTION<\/h3>\n<p class=\"p1\">The FET physical dimensions continue to shrink to five nm node and below, characterized by new types of architectures with nanosheet (NS) and nanowire (NW) shapes [3]. The present choice of material is made of Si, Ge, or SiGe alloy thanks to their high carrier concentrations. In compliment to III-V technology envisaged for a while, new 2D materials are also investigated (for example, the TMDs monolayers<sup>1<\/sup>). Such nanomaterials and nano-architectures require atomistic simulations for at least two crucial reasons: 1) bulk parameters like the effective masses and forbidden bandgap are no longer pertinent quantities, and 2) the wave nature of charge carriers becomes predominant for predicting transport characteristics including scattering events.<span class=\"Apple-converted-space\">\u00a0<\/span><\/p>\n<p class=\"p1\">NEGF allows us to perform quantum transport simulation of such a device made of two leads and an active region, where carriers move according to a custom band structure [4]. In practice, one builds the device\u2019s Hamiltonian on a basis of atomic wave functions and solves the coupled NEGF and Poisson equations within that basis. This comes at the price of a very high computational burden, which becomes almost untractable when scattering self-energies of inelastic carrier interactions are included [5]. Thankfully, by generalizing a low-rank approximation (LRA) with atomistic mode-space scheme [2,6], the computational load can be drastically reduced while preserving accuracy.<\/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-japanese-container\"><ul id=\"menu-simulation-standard-side-menu-japanese\" class=\"menu\"><li id=\"menu-item-26253\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-26253\"><a href=\"https:\/\/silvaco.com\/ja\/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=Q2_SS_Aug2022.pdf\" class='avia_image' target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" width=\"234\" height=\"300\" class='wp-image-47992 avia-img-lazy-loading-not-47992 avia_image' src=\"https:\/\/silvaco.com\/wp-content\/uploads\/2022\/08\/Q2_SS_Aug2022_thumbnail-234x300.png\" alt='' title='Q2_SS_Aug2022_thumbnail'  itemprop=\"thumbnailUrl\" srcset=\"https:\/\/silvaco.com\/wp-content\/uploads\/2022\/08\/Q2_SS_Aug2022_thumbnail-234x300.png 234w, https:\/\/silvaco.com\/wp-content\/uploads\/2022\/08\/Q2_SS_Aug2022_thumbnail-29x37.png 29w, https:\/\/silvaco.com\/wp-content\/uploads\/2022\/08\/Q2_SS_Aug2022_thumbnail-43x55.png 43w, https:\/\/silvaco.com\/wp-content\/uploads\/2022\/08\/Q2_SS_Aug2022_thumbnail-37x48.png 37w, https:\/\/silvaco.com\/wp-content\/uploads\/2022\/08\/Q2_SS_Aug2022_thumbnail.png 250w\" sizes=\"(max-width: 234px) 100vw, 234px\" \/><\/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=Q2_SS_Aug2022.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. Autoclose: 1 -->\n","protected":false},"excerpt":{"rendered":"<p>The FET physical dimensions continue to shrink to five nm node and below, characterized by new types of architectures with nanosheet (NS) and nanowire (NW) shapes [3]. The present choice of material is made of Si, Ge, or SiGe alloy thanks to their high carrier concentrations. In compliment to III-V technology envisaged for a while, new 2D materials are also investigated (for example, the TMDs monolayers1). Such nanomaterials and nano-architectures require atomistic simulations for at least two crucial reasons: 1) bulk parameters like the effective masses and forbidden bandgap are no longer pertinent quantities, and 2) the wave nature of charge carriers becomes predominant for predicting transport characteristics including scattering events. <\/p>\n","protected":false},"author":8,"featured_media":47992,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7570],"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 Transport Simulation at Atomistic Accuracy of a Nanowire FET<\/title>\n<meta name=\"description\" content=\"The FET physical dimensions continue to shrink to five nm node and below, characterized by new types of architectures with nanosheet (NS) and\" \/>\n<meta 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