{"title":"隧穿异质结构中输运的混合量子经典模型","authors":"C. Fernando, W. Frensley","doi":"10.1109/CORNEL.1993.303081","DOIUrl":null,"url":null,"abstract":"Several models have been developed to evaluate the current-voltage characteristics of the resonant tunneling diode (RTD). The current density predicted by both flat-band model and Thomas-Fermi approximation (or zero-current model) fails to reproduce the experimental results. We believe that this disagreement is due to the assumption of perfect electron coherence in the tunneling theory. An adjusted Thomas-Fermi model which includes a series resistance at either of the contact layers has been tried out, but the result is still unsatisfactory. A hybrid quantum-classical approach is suggested to evaluate self-consistently the electron current. The method couples the quantum-tunneling current obtained by solving the Schrodinger equation in the tunneling region with the classical drift-diffusion current in the contact layers. The resulting current continuity equation is solved self-consistently with Poisson's equation. It shows that the hybrid quantum-classical model gives much more realistic I(V) curves than other models.<<ETX>>","PeriodicalId":129440,"journal":{"name":"Proceedings of IEEE/Cornell Conference on Advanced Concepts in High Speed Semiconductor Devices and Circuits","volume":"44 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"A hybrid quantum-classical model for transport in tunneling heterostructures\",\"authors\":\"C. Fernando, W. Frensley\",\"doi\":\"10.1109/CORNEL.1993.303081\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Several models have been developed to evaluate the current-voltage characteristics of the resonant tunneling diode (RTD). The current density predicted by both flat-band model and Thomas-Fermi approximation (or zero-current model) fails to reproduce the experimental results. We believe that this disagreement is due to the assumption of perfect electron coherence in the tunneling theory. An adjusted Thomas-Fermi model which includes a series resistance at either of the contact layers has been tried out, but the result is still unsatisfactory. A hybrid quantum-classical approach is suggested to evaluate self-consistently the electron current. The method couples the quantum-tunneling current obtained by solving the Schrodinger equation in the tunneling region with the classical drift-diffusion current in the contact layers. The resulting current continuity equation is solved self-consistently with Poisson's equation. It shows that the hybrid quantum-classical model gives much more realistic I(V) curves than other models.<<ETX>>\",\"PeriodicalId\":129440,\"journal\":{\"name\":\"Proceedings of IEEE/Cornell Conference on Advanced Concepts in High Speed Semiconductor Devices and Circuits\",\"volume\":\"44 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-08-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of IEEE/Cornell Conference on Advanced Concepts in High Speed Semiconductor Devices and Circuits\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CORNEL.1993.303081\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of IEEE/Cornell Conference on Advanced Concepts in High Speed Semiconductor Devices and Circuits","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CORNEL.1993.303081","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A hybrid quantum-classical model for transport in tunneling heterostructures
Several models have been developed to evaluate the current-voltage characteristics of the resonant tunneling diode (RTD). The current density predicted by both flat-band model and Thomas-Fermi approximation (or zero-current model) fails to reproduce the experimental results. We believe that this disagreement is due to the assumption of perfect electron coherence in the tunneling theory. An adjusted Thomas-Fermi model which includes a series resistance at either of the contact layers has been tried out, but the result is still unsatisfactory. A hybrid quantum-classical approach is suggested to evaluate self-consistently the electron current. The method couples the quantum-tunneling current obtained by solving the Schrodinger equation in the tunneling region with the classical drift-diffusion current in the contact layers. The resulting current continuity equation is solved self-consistently with Poisson's equation. It shows that the hybrid quantum-classical model gives much more realistic I(V) curves than other models.<>