{"id":"https://openalex.org/W2123673486","doi":"https://doi.org/10.1109/tcad.1985.1270156","title":"A Numerical Solution of Poisson's Equation with Application to C-V Analysis of III-V Heterojunction Capacitors","display_name":"A Numerical Solution of Poisson's Equation with Application to C-V Analysis of III-V Heterojunction Capacitors","publication_year":1985,"publication_date":"1985-10-01","ids":{"openalex":"https://openalex.org/W2123673486","doi":"https://doi.org/10.1109/tcad.1985.1270156","mag":"2123673486"},"language":"en","primary_location":{"id":"doi:10.1109/tcad.1985.1270156","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.1985.1270156","pdf_url":null,"source":{"id":"https://openalex.org/S100835903","display_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","issn_l":"0278-0070","issn":["0278-0070","1937-4151"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110882152","display_name":"J.L. Gray","orcid":null},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J.L. Gray","raw_affiliation_strings":["School of Electrical Engineering, Purdue University, West Lafayette, IN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090995361","display_name":"Mark Lundstrom","orcid":"https://orcid.org/0000-0003-1460-7973"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M.S. Lundstrom","raw_affiliation_strings":["School of Electrical Engineering, Purdue University, West Lafayette, IN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.20444462,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":"4","first_page":"546","last_page":"553"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10361","display_name":"Silicon Carbide Semiconductor Technologies","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10361","display_name":"Silicon Carbide Semiconductor Technologies","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10558","display_name":"Advancements in Semiconductor Devices and Circuit Design","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10187","display_name":"Radio Frequency Integrated Circuit Design","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/poissons-equation","display_name":"Poisson's equation","score":0.7358033061027527},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.6603610515594482},{"id":"https://openalex.org/keywords/heterojunction","display_name":"Heterojunction","score":0.6054911017417908},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.5702144503593445},{"id":"https://openalex.org/keywords/conduction-band","display_name":"Conduction band","score":0.5597969889640808},{"id":"https://openalex.org/keywords/capacitor","display_name":"Capacitor","score":0.5588845014572144},{"id":"https://openalex.org/keywords/degeneracy","display_name":"Degeneracy (biology)","score":0.5509219169616699},{"id":"https://openalex.org/keywords/capacitance","display_name":"Capacitance","score":0.5359746813774109},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5032069087028503},{"id":"https://openalex.org/keywords/thermal-conduction","display_name":"Thermal conduction","score":0.4472999572753906},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.4292118549346924},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42877522110939026},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.42156463861465454},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.41703149676322937},{"id":"https://openalex.org/keywords/computational-physics","display_name":"Computational physics","score":0.3829997181892395},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.361835241317749},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3396705985069275},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.3326583504676819},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.32705849409103394},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.22055584192276},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.14270049333572388},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1367381513118744},{"id":"https://openalex.org/keywords/electrode","display_name":"Electrode","score":0.10540628433227539},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09882974624633789},{"id":"https://openalex.org/keywords/electron","display_name":"Electron","score":0.08913940191268921}],"concepts":[{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.7358033061027527},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.6603610515594482},{"id":"https://openalex.org/C79794668","wikidata":"https://www.wikidata.org/wiki/Q1616270","display_name":"Heterojunction","level":2,"score":0.6054911017417908},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.5702144503593445},{"id":"https://openalex.org/C27067764","wikidata":"https://www.wikidata.org/wiki/Q528769","display_name":"Conduction band","level":3,"score":0.5597969889640808},{"id":"https://openalex.org/C52192207","wikidata":"https://www.wikidata.org/wiki/Q5322","display_name":"Capacitor","level":3,"score":0.5588845014572144},{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.5509219169616699},{"id":"https://openalex.org/C30066665","wikidata":"https://www.wikidata.org/wiki/Q164399","display_name":"Capacitance","level":3,"score":0.5359746813774109},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5032069087028503},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.4472999572753906},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.4292118549346924},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42877522110939026},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.42156463861465454},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.41703149676322937},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.3829997181892395},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.361835241317749},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3396705985069275},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.3326583504676819},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.32705849409103394},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.22055584192276},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.14270049333572388},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1367381513118744},{"id":"https://openalex.org/C17525397","wikidata":"https://www.wikidata.org/wiki/Q176140","display_name":"Electrode","level":2,"score":0.10540628433227539},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09882974624633789},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.08913940191268921},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcad.1985.1270156","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.1985.1270156","pdf_url":null,"source":{"id":"https://openalex.org/S100835903","display_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","issn_l":"0278-0070","issn":["0278-0070","1937-4151"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1641884523","https://openalex.org/W1967779367","https://openalex.org/W1973912315","https://openalex.org/W1974422307","https://openalex.org/W1979899700","https://openalex.org/W1984705168","https://openalex.org/W1996858196","https://openalex.org/W2009216305","https://openalex.org/W2010350712","https://openalex.org/W2010485539","https://openalex.org/W2020805638","https://openalex.org/W2030032233","https://openalex.org/W2034253953","https://openalex.org/W2040529857","https://openalex.org/W2052505681","https://openalex.org/W2052746915","https://openalex.org/W2057486448","https://openalex.org/W2066685430","https://openalex.org/W2067043625","https://openalex.org/W2083124120","https://openalex.org/W2094988393","https://openalex.org/W2095321219","https://openalex.org/W2102571868","https://openalex.org/W2131566845","https://openalex.org/W2167021782","https://openalex.org/W2542605050","https://openalex.org/W2798950047"],"related_works":["https://openalex.org/W2375684291","https://openalex.org/W2354676191","https://openalex.org/W3188646203","https://openalex.org/W136674370","https://openalex.org/W2909957174","https://openalex.org/W2105527480","https://openalex.org/W1972096828","https://openalex.org/W4320035781","https://openalex.org/W2529137940","https://openalex.org/W2052387497"],"abstract_inverted_index":{"The":[0,48],"numerical":[1,49],"solution":[2],"to":[3,34,54],"Poisson's":[4],"equation":[5],"under":[6],"quasi-equilibrium":[7],"conditions,":[8],"using":[9],"a":[10,58],"formulation":[11],"that":[12],"includes":[13],"carrier":[14],"degeneracy,":[15],"multiple":[16],"conduction":[17],"band":[18,64],"minima,":[19],"nonparabolicity":[20],"of":[21,41],"the":[22,39],"\u0393":[23],"valley,":[24],"and":[25],"dopant":[26],"deionization,":[27],"is":[28,51],"discussed.":[29],"Moment":[30],"theorems":[31],"are":[32],"shown":[33],"provide":[35],"stringent":[36],"tests":[37],"for":[38,62],"accuracy":[40],"numerically":[42],"simulated":[43],"capacitance":[44],"versus":[45],"voltage":[46],"characteristics.":[47],"model":[50],"also":[52],"used":[53,60],"quantify":[55],"errors":[56],"in":[57],"widely":[59],"technique":[61],"extracting":[63],"discontinuities":[65],"by":[66],"C-V":[67],"analysis.":[68]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}