{"id":36118,"date":"2017-01-01T17:44:51","date_gmt":"2017-01-01T17:44:51","guid":{"rendered":"https:\/\/silvaco.com\/%e6%9c%aa%e5%88%86%e7%b1%bb\/simulation-of-a-bipolar-junction-transistor-under-high-and-low-current-injection-conditions\/"},"modified":"2021-10-13T09:51:57","modified_gmt":"2021-10-13T16:51:57","slug":"simulation-of-a-bipolar-junction-transistor-under-high-and-low-current-injection-conditions","status":"publish","type":"post","link":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/simulation-of-a-bipolar-junction-transistor-under-high-and-low-current-injection-conditions\/","title":{"rendered":"Simulation of a Bipolar Junction Transistor Under High and Low Current Injection Conditions"},"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-36118'><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>Simulation of a Bipolar Junction Transistor Under High and Low Current Injection Conditions<\/h1>\n<p><strong>1 Introduction<\/strong><\/p>\n<p>Semiconductor devices such as bipolar power transistors and solar cells may operate over a range of optical or electrical injection levels. In some cases of high injection, this may result in the occurrence of an electron-hole plasma somewhere in the device. For reliable device simulations, TCAD models need to cover the range of oper ating conditions and have models which depend on carrier densities, electric field, dopant densities, trap densities, and temperature. For the carrier mobilities, a Silvaco Device Simulator has several models that work well for high doping levels and high free carrier densities. For Shockley-Read-Hall carrier recombination, a Silvaco De vice Simulator has a range of options for trying to include the dependence of the recombination lifetimes on dopant densities, and one model to include the dependence on carrier density [1]. At very high carrier concentrations, however, the dominant carrier recombination mechanism is Auger recombination. In this process an electron- hole pair recombine across the bandgap and give the energy released to either an electron (eeh-process) or a hole (ehh-process). It has long been known that the standard expression for Auger recombination rate neglects some important physics at high carrier concentrations. Therefore two new models for Auger recombination in sil icon have been recently been included in a Silvaco Device Simulator, and are one of the two subjects of this article.<\/p>\n<p>The principal energy bandgap in semiconductors has an important role to play in the performance of semiconductor devices and, as well as being temperature dependent, is known to also depend on the doping level in at sufficiently high doping levels. Silvaco Device Simulators already have several models, including the Slotboom model [2], for giving the bandgap a dependence on doping density. The dependence of bandgap on carrier density or plasma density requires a more sophisticated model, and we discuss here the implementation of such a model [3], into a Silvaco Device Simulator. The bandgap changes are important in the modeling of bipolar power transistors, solar cells, and other devices.<\/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_Q1_2017_a2.pdf\" class='avia_image' target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" width=\"232\" height=\"300\" class='wp-image-19084 avia-img-lazy-loading-not-19084 avia_image' src=\"https:\/\/silvaco.com\/wp-content\/uploads\/2020\/02\/simstd_Q1_2017_a2-232x300.jpg\" alt='' title='simstd_Q1_2017_a2'  itemprop=\"thumbnailUrl\" srcset=\"https:\/\/silvaco.com\/wp-content\/uploads\/2020\/02\/simstd_Q1_2017_a2-232x300.jpg 232w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/02\/simstd_Q1_2017_a2-768x994.jpg 768w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/02\/simstd_Q1_2017_a2-545x705.jpg 545w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/02\/simstd_Q1_2017_a2-29x37.jpg 29w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/02\/simstd_Q1_2017_a2-43x55.jpg 43w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/02\/simstd_Q1_2017_a2-37x48.jpg 37w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/02\/simstd_Q1_2017_a2.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_Q1_2017_a2.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>Semiconductor devices such as bipolar power transistors and solar cells may operate over a range of optical or electrical injection levels. In some cases of high injection, this may result in the occurrence of an electron-hole plasma somewhere in the device. For reliable device simulations, TCAD models need to cover the range of operating conditions and have models which depend on carrier densities, electric field, dopant densities, trap densities, and temperature. For the carrier mobilities, a Silvaco Device Simulator has several models that work well for high doping levels and high free carrier densities. For Shockley-Read-Hall carrier recombination, a Silvaco Device Simulator has a range of options for trying to include the dependence of the recombination lifetimes on dopant densities, and one model to include the dependence on carrier density [1]. At very high carrier concentrations, however, the dominant carrier recombination mechanism is Auger recombination.<\/p>\n","protected":false},"author":5,"featured_media":19084,"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>Simulation of a Bipolar Junction Transistor Under High and Low Current Injection Conditions - Silvaco<\/title>\n<meta name=\"description\" content=\"Semiconductor devices such as bipolar power transistors and solar cells may operate over a range of optical or electrical injection levels.\" \/>\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\/simulation-of-a-bipolar-junction-transistor-under-high-and-low-current-injection-conditions\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Simulation of a Bipolar Junction Transistor Under High and Low Current Injection Conditions\" \/>\n<meta property=\"og:description\" content=\"Semiconductor devices such as bipolar power transistors and solar cells may operate over a range of optical or electrical injection levels.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/simulation-of-a-bipolar-junction-transistor-under-high-and-low-current-injection-conditions\/\" \/>\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=\"2017-01-01T17:44:51+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-10-13T16:51:57+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/silvaco.com\/wp-content\/uploads\/2020\/02\/simstd_Q1_2017_a2.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=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Ingrid Schwarz\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"6 \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\/simulation-of-a-bipolar-junction-transistor-under-high-and-low-current-injection-conditions\/\",\"url\":\"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/simulation-of-a-bipolar-junction-transistor-under-high-and-low-current-injection-conditions\/\",\"name\":\"Simulation of a Bipolar Junction Transistor Under High and Low Current Injection Conditions - 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