Skip to main content
Top
Published in:

11-07-2023

A deterministic Wigner transport equation solver with infinite correlation length

Author: Kyoung Yeon Kim

Published in: Journal of Computational Electronics | Issue 5/2023

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

We propose a new formulation of the Wigner transport equation (WTE) with infinite correlation length. Since the maximum correlation length is not limited to a finite value, there is no uncertainty in the simulation results owing to the finite integral range of the nonlocal potential term. For general and efficient simulation, the proposed WTE formulation is solved self-consistently with the Poisson equation through the finite volume method and the fully coupled Newton–Raphson scheme. Through this, we implemented a quantum transport steady state and transient simulator with excellent convergence.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Literature
4.
14.
go back to reference Mahdi, P.: Numerical study of quantum transport in carbon nanotube-based transistors. dissertation, Institute for Microelectronics, Vienna University of Technology, Vienna (2007) Mahdi, P.: Numerical study of quantum transport in carbon nanotube-based transistors. dissertation, Institute for Microelectronics, Vienna University of Technology, Vienna (2007)
19.
go back to reference Pham, A.-T., Kin, S., Lu, Y., Park, H.-H., Choi, W., Pourghaderi, M.A., Kim, J., Kwon, U., Kim, D.: Simulations of self-heating effects in SiGe pFinFETs based on self-consistent solution of carrier/phonon BTE coupled system. In: 2018 International Conference on Simulation of Semiconductor Processes and Devices (SISPAD), Austin, TX, USA, 2018, pp. 145–148. https://doi.org/10.1109/SISPAD.2018.8551670 Pham, A.-T., Kin, S., Lu, Y., Park, H.-H., Choi, W., Pourghaderi, M.A., Kim, J., Kwon, U., Kim, D.: Simulations of self-heating effects in SiGe pFinFETs based on self-consistent solution of carrier/phonon BTE coupled system. In: 2018 International Conference on Simulation of Semiconductor Processes and Devices (SISPAD), Austin, TX, USA, 2018, pp. 145–148. https://​doi.​org/​10.​1109/​SISPAD.​2018.​8551670
20.
go back to reference Pourghaderi, M.A., Pham, A.-T., Kim, S., Chung, H., Jiang, Z., Ilatikhameneh, H., Park, H.-H., Jin, S., Kim, J., Chung, W.-Y., Kwon, U., Choi, W., Kim, D.S., Maeda, S.: Universal swing factor approach for performance analysis of logic nodes. In: 2018 IEEE International Electron Devices Meeting (IEDM), San Francisco, CA, USA, 2018, pp. 33.3.1–33.3.4, https://doi.org/10.1109/IEDM.2018.8614696 Pourghaderi, M.A., Pham, A.-T., Kim, S., Chung, H., Jiang, Z., Ilatikhameneh, H., Park, H.-H., Jin, S., Kim, J., Chung, W.-Y., Kwon, U., Choi, W., Kim, D.S., Maeda, S.: Universal swing factor approach for performance analysis of logic nodes. In: 2018 IEEE International Electron Devices Meeting (IEDM), San Francisco, CA, USA, 2018, pp. 33.3.1–33.3.4, https://​doi.​org/​10.​1109/​IEDM.​2018.​8614696
21.
go back to reference Stanojević, Z., Strof, G., Baumgartner, O., Rzepa G., Karner, M.: Performance and leakage analysis of Si and Ge NWFETs using a combined subband BTE and WKB approach. In: 2020 International Conference on Simulation of Semiconductor Processes and Devices (SISPAD), Kobe, Japan, 2020, pp. 63–66, https://doi.org/10.23919/SISPAD49475.2020.9241614 Stanojević, Z., Strof, G., Baumgartner, O., Rzepa G., Karner, M.: Performance and leakage analysis of Si and Ge NWFETs using a combined subband BTE and WKB approach. In: 2020 International Conference on Simulation of Semiconductor Processes and Devices (SISPAD), Kobe, Japan, 2020, pp. 63–66, https://​doi.​org/​10.​23919/​SISPAD49475.​2020.​9241614
26.
go back to reference Rossi, F., Jacoboni, C., Nedjalkov, M.: A Monte Carlo solution of the Wigner transport equation. Semicond. Sci. Technol. 9, 934 (1994)CrossRef Rossi, F., Jacoboni, C., Nedjalkov, M.: A Monte Carlo solution of the Wigner transport equation. Semicond. Sci. Technol. 9, 934 (1994)CrossRef
40.
go back to reference Biegel, B.A.: Wigner function simulation of intrinsic oscillations, hysteresis, and Bistability in resonant tunneling structures. In: Proceedings of SPIE 3277, Ultrafast Phenomena in Semiconductors, April. 1998. https://doi.org/10.1117/12.306152 Biegel, B.A.: Wigner function simulation of intrinsic oscillations, hysteresis, and Bistability in resonant tunneling structures. In: Proceedings of SPIE 3277, Ultrafast Phenomena in Semiconductors, April. 1998. https://​doi.​org/​10.​1117/​12.​306152
Metadata
Title
A deterministic Wigner transport equation solver with infinite correlation length
Author
Kyoung Yeon Kim
Publication date
11-07-2023
Publisher
Springer US
Published in
Journal of Computational Electronics / Issue 5/2023
Print ISSN: 1569-8025
Electronic ISSN: 1572-8137
DOI
https://doi.org/10.1007/s10825-023-02079-9