{"id":28844,"date":"2018-04-01T23:42:04","date_gmt":"2018-04-01T23:42:04","guid":{"rendered":"https:\/\/silvaco.com\/uncategorized\/tcad-simulation-of-si-and-gaas-p-n-junction-devices-at-cryogenic-temperatures-down-to-2-k\/"},"modified":"2026-10-15T15:03:57","modified_gmt":"2026-10-15T22:03:57","slug":"tcad-simulation-of-si-and-gaas-p-n-junction-devices-at-cryogenic-temperatures-down-to-2-k","status":"publish","type":"post","link":"https:\/\/silvaco.com\/ja\/simulation-standard\/tcad-simulation-of-si-and-gaas-p-n-junction-devices-at-cryogenic-temperatures-down-to-2-k\/","title":{"rendered":"TCAD Simulation of Si and GaAs p-n Junction Devices at Cryogenic Temperatures, Down to 2 K"},"content":{"rendered":"<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Introduction<\/strong><\/p>\n<p>Cryogenic electronics plays a fundamental role in several applications, such as spacecraft, high-energy physics experiments, metrology, superconductive astronomical detectors and, with the increased interest in quantum computing, the manipulation of quantum bits (qubits) [1]. Outstanding characteristics have been reported for advanced CMOS technologies operating at cryogenic temperature in terms of on-state current, leakage current, subthreshold swing, and transconductance [2]. This represents an excellent opportunity to use such advanced technologies to design and implement a quantum computing control system (including multiplexers, LNAs, and RF oscillators) and introduce it inside the refrigerator together with the qubits [3]. Another recently growing field of application is the cryogenic silicon photonics [4].<\/p>\n<p>However, finding the optimal trade-off in the design of semiconductor devices, including p-n and p-i-n junction based devices, MOSFETs, and CMOS circuits is challenging due to the lack of efficient physics-based models valid down to cryogenic and deep-cryogenic temperatures &#8211; typically 4.2 K (liquid helium) or even below for quantum computing applications. Physics-based analysis and design of devices operating below 77 K have been held up by the numerical difficulties of modeling and simulation in this temperature range [5, 6]. The intrinsic carrier concentration becomes extremely small at cryogenic temperatures, which has its inevitable root in the exponential temperature scaling of the Fermi-Dirac and Boltzmann statistics.<\/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 (<em>n<sub>i<\/sub><\/em>) dramatically decreases. For example, the silicon ni which at T=300K is around 1.5e+10 cm<sup>-3<\/sup>, at T=10K becomes 1.2e-267 cm<sup>-3<\/sup>, and at T=4.2K\u00a0<em>n<sub>i<\/sub><\/em>= 2.7e-678 cm<sup>-3<\/sup>\u00a0[3], lying outside the range of IEEE double precision arithmetic (1e-308 \u2013 1e+308) starting from below T=8K. In wider-bandgap materials, such as GaAs, SiC, or GaN, the\u00a0<em>n<sub>i<\/sub><\/em>\u00a0values become even lower. Therefore, in quasi-neutral or depletion regions, the minority carrier concentration can easily underflow. This is computationally very demanding in numerical TCAD simulations [5]. Such 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<p><img loading=\"lazy\" width=\"782\" height=\"1012\" src=\"https:\/\/silvaco.com\/wp-content\/uploads\/2020\/02\/simstd_Q2_a1_2018.jpg\" class=\"cleaned-enfold-image\" alt=\"\" decoding=\"async\" loading=\"lazy\" srcset=\"https:\/\/silvaco.com\/wp-content\/uploads\/2020\/02\/simstd_Q2_a1_2018.jpg 782w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/02\/simstd_Q2_a1_2018-232x300.jpg 232w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/02\/simstd_Q2_a1_2018-768x994.jpg 768w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/02\/simstd_Q2_a1_2018-545x705.jpg 545w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/02\/simstd_Q2_a1_2018-29x37.jpg 29w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/02\/simstd_Q2_a1_2018-43x55.jpg 43w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/02\/simstd_Q2_a1_2018-37x48.jpg 37w\" sizes=\"auto, (max-width: 782px) 100vw, 782px\" \/><\/p>\n<p><a href=\"https:\/\/silvaco.com\/dynamicweb\/jsp\/downloads\/DownloadDocStepsAction.do?req=download&#038;nm=simstd_Q2_2018_a1.pdf\" class=\"BGT-btn\" target=\"_blank\" rel=\"noopener noreferrer\">Download Simulation Standard<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Cryogenic electronics plays a fundamental role in several applications, such as spacecraft, high-energy physics experiments, metrology, superconductive astronomical detectors and, with the increased interest in quantum computing, the manipulation of quantum bits (qubits) [1]. Outstanding characteristics have been reported for advanced CMOS technologies operating at cryogenic temperature in terms of on-state current, leakage current, subthreshold swing, and transconductance [2]. This represents an excellent opportunity to use such advanced technologies to design and implement a quantum computing control system (including multiplexers, LNAs, and RF oscillators) and introduce it inside the refrigerator together with the qubits [3]. Another recently growing field of application is the cryogenic silicon photonics [4].<\/p>\n","protected":false},"author":12,"featured_media":19271,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[7570],"tags":[],"class_list":["post-28844","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-simulation-standard","entry","has-media"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v28.7 (Yoast SEO v28.7) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>TCAD Simulation of Si and GaAs p-n Junction Devices at Cryogenic Temperatures, Down to 2 K - Silvaco<\/title>\n<meta name=\"description\" content=\"Cryogenic electronics plays a fundamental role in several applications, such as spacecraft, high-energy physics experiments\" \/>\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\/ja\/simulation-standard\/tcad-simulation-of-si-and-gaas-p-n-junction-devices-at-cryogenic-temperatures-down-to-2-k\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"TCAD Simulation of Si and GaAs p-n Junction Devices at Cryogenic Temperatures, Down to 2 K\" \/>\n<meta property=\"og:description\" content=\"Cryogenic electronics plays a fundamental role in several applications, such as spacecraft, high-energy physics experiments\" \/>\n<meta property=\"og:url\" content=\"https:\/\/silvaco.com\/ja\/simulation-standard\/tcad-simulation-of-si-and-gaas-p-n-junction-devices-at-cryogenic-temperatures-down-to-2-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=\"2018-04-01T23:42:04+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-10-15T22:03:57+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/a1_Figure4a.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"550\" \/>\n\t<meta property=\"og:image:height\" content=\"508\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Casey Molver\" \/>\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=\"\u57f7\u7b46\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Casey Molver\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u63a8\u5b9a\u8aad\u307f\u53d6\u308a\u6642\u9593\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/simulation-standard\\\/tcad-simulation-of-si-and-gaas-p-n-junction-devices-at-cryogenic-temperatures-down-to-2-k\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/simulation-standard\\\/tcad-simulation-of-si-and-gaas-p-n-junction-devices-at-cryogenic-temperatures-down-to-2-k\\\/\"},\"author\":{\"name\":\"Casey Molver\",\"@id\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/#\\\/schema\\\/person\\\/2763eb741ca5ac04477fdff50ed84c80\"},\"headline\":\"TCAD Simulation of Si and GaAs p-n Junction Devices at Cryogenic Temperatures, Down to 2 K\",\"datePublished\":\"2018-04-01T23:42:04+00:00\",\"dateModified\":\"2026-10-15T22:03:57+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/simulation-standard\\\/tcad-simulation-of-si-and-gaas-p-n-junction-devices-at-cryogenic-temperatures-down-to-2-k\\\/\"},\"wordCount\":373,\"image\":{\"@id\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/simulation-standard\\\/tcad-simulation-of-si-and-gaas-p-n-junction-devices-at-cryogenic-temperatures-down-to-2-k\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/silvaco.com\\\/wp-content\\\/uploads\\\/2020\\\/03\\\/a1_Figure4a.jpg\",\"articleSection\":[\"Simulation Standard\"],\"inLanguage\":\"ja\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/simulation-standard\\\/tcad-simulation-of-si-and-gaas-p-n-junction-devices-at-cryogenic-temperatures-down-to-2-k\\\/\",\"url\":\"https:\\\/\\\/silvaco.com\\\/ja\\\/simulation-standard\\\/tcad-simulation-of-si-and-gaas-p-n-junction-devices-at-cryogenic-temperatures-down-to-2-k\\\/\",\"name\":\"TCAD Simulation of Si and GaAs p-n Junction Devices at Cryogenic Temperatures, Down to 2 K - 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