{"id":30764,"date":"2016-10-01T20:44:51","date_gmt":"2016-10-01T20:44:51","guid":{"rendered":"https:\/\/silvaco.com\/%eb%b6%84%eb%a5%98%eb%90%98%ec%a7%80-%ec%95%8a%ec%9d%8c\/tcad-simulation-of-impact-ionization-at-cryogenic-temperatures-down-to-3-k\/"},"modified":"2021-07-16T21:38:30","modified_gmt":"2021-07-17T04:38:30","slug":"tcad-simulation-of-impact-ionization-at-cryogenic-temperatures-down-to-3-k","status":"publish","type":"post","link":"https:\/\/silvaco.com\/ko\/simulation-standard\/tcad-simulation-of-impact-ionization-at-cryogenic-temperatures-down-to-3-k\/","title":{"rendered":"TCAD Simulation of Impact Ionization at Cryogenic Temperatures, down to 3 K"},"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-30764'><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>TCAD Simulation of Impact Ionization at Cryogenic Temperatures, down to 3 K<\/h1>\n<p>Some electronic devices operate at very low, cryogenic temperatures, sometimes as low as 4 K, which is the temperature of liquid helium. Such devices include infra-red (IR) photodetectors or single-photon Avalanche Photo-Diodes (APD) (also known as a Geiger-mode APD or GAPD), based on a reverse biased p-n junction in which a photo-generated carrier can trigger an avalanche current due to the impact ionization mechanism. This device is able to detect low-intensity optical signals, e.g. single photon [1], [2].<\/p>\n<p>TCAD simulations of devices operating at such low temperatures, especially below 50 K, have always posed a challenge. Below 50 K, carrier and ionization statistics develop sharp transitions which cause slower convergence. As the temperature (T) decreases, the intrinsic carrier concentration also decreases. For example, the silicon intrinsic carrier concentration (<em>n<\/em><sub>i<\/sub>), which at T=300K is around 1.5e+10 cm<sup>-3<\/sup>, at T=40K becomes 1.2e-53 cm<sup>-3<\/sup>, at T=30K<em>n<\/em><sub>i<\/sub>=1.8e-77 cm<sup>-3<\/sup>, at T=20K\u00a0<em>n<\/em><sub>i<\/sub>= 5.0e-125 cm<sup>-3<\/sup>, and at T=10K\u00a0<em>n<\/em><sub>i<\/sub>= 2.7e-267 cm<sup>-3<\/sup>. Therefore, in quasi-neutral or depletion regions, the minority carrier concentration can easily underflow. Such the situation requires using a significantly higher floating point precision, as well as special numerical techniques, which are available in Silvaco\u2019s TCAD device simulation tools.<\/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_Q4_2016_a3.pdf\" class='avia_image' target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" width=\"232\" height=\"300\" class='wp-image-19221 avia-img-lazy-loading-not-19221 avia_image' src=\"https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q4_2016_a3-1-232x300.jpg\" alt='' title='simstd_Q4_2016_a3-1'  itemprop=\"thumbnailUrl\" srcset=\"https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q4_2016_a3-1-232x300.jpg 232w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q4_2016_a3-1-768x994.jpg 768w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q4_2016_a3-1-545x705.jpg 545w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q4_2016_a3-1-29x37.jpg 29w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q4_2016_a3-1-43x55.jpg 43w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q4_2016_a3-1-37x48.jpg 37w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q4_2016_a3-1.jpg 782w\" sizes=\"(max-width: 232px) 100vw, 232px\" \/><\/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_Q4_2016_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>Some electronic devices operate at very low, cryogenic temperatures, sometimes as low as 4 K, which is the temperature of liquid helium. Such devices include infra-red (IR) photodetectors or single-photon Avalanche Photo-Diodes (APD) (also known as a Geiger-mode APD or GAPD), based on a reverse biased p-n junction in which a photo-generated carrier can trigger an avalanche current due to the impact ionization mechanism. This device is able to detect low-intensity optical signals, e.g. single photon [1], [2].<\/p>\n","protected":false},"author":5,"featured_media":19221,"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>TCAD Simulation of Impact Ionization at Cryogenic Temperatures, down to 3 K - Silvaco<\/title>\n<meta name=\"description\" content=\"Some electronic devices operate at very low, cryogenic temperatures, sometimes as low as 4 K, which is the temperature of liquid helium.\" \/>\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\/tcad-simulation-of-impact-ionization-at-cryogenic-temperatures-down-to-3-k\/\" \/>\n<meta property=\"og:locale\" content=\"ko_KR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"TCAD Simulation of Impact Ionization at Cryogenic Temperatures, down to 3 K\" \/>\n<meta property=\"og:description\" content=\"Some electronic devices operate at very low, cryogenic temperatures, sometimes as low as 4 K, which is the temperature of liquid helium.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/silvaco.com\/ko\/simulation-standard\/tcad-simulation-of-impact-ionization-at-cryogenic-temperatures-down-to-3-k\/\" \/>\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=\"2016-10-01T20:44:51+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-07-17T04:38:30+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q4_2016_a3-1.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"782\" \/>\n\t<meta property=\"og:image:height\" content=\"1012\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Ingrid Schwarz\" \/>\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=\"Ingrid Schwarz\" \/>\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\/tcad-simulation-of-impact-ionization-at-cryogenic-temperatures-down-to-3-k\/\",\"url\":\"https:\/\/silvaco.com\/ko\/simulation-standard\/tcad-simulation-of-impact-ionization-at-cryogenic-temperatures-down-to-3-k\/\",\"name\":\"TCAD Simulation of Impact Ionization at Cryogenic Temperatures, down to 3 K - 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