Abstract
Carbon nanotube field-effect transistors have been studied in recent years as a potential alternative to CMOS devices, because of the capability of ballistic transport. In order to account for the ballistic transport we solved the coupled Poisson and Schrödinger equations for the analysis of these devices. Conventionally the coupled Schrödinger-Poisson equation is solved iteratively with appropriate numerical damping. Often convergence problems occur. In this work we show that this problem is due to inappropriate energy discretization, and by using an adaptive integration method the simulation time is reduced and most of the simulations converge in a few iterations. Based on this approach we investigated the static and dynamic behavior of carbon nanotube field effect transistors.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Appenzeller, J., Radosavljevic, M., Knoch, J., Avouris, P.: Tunneling Versus Thermionic Emission in One-Dimensional Semiconductors. Phys. Rev. Lett. 92, 048301 (2004)
Biegel, B.A.: Quantum Electronic Device Simulation. Dissertation, Stanford University (1997)
Datta, S.: Electronic Transport in Mesoscopic Systems. Cambridge University Press, Cambridge (1995)
Guo, J., Datta, S., Lundstrom, M.: A Numerical Study of Scaling Issues for Schottky Barrier Carbon Nanotube Transistors. IEEE Trans. Electron Devices 51, 172–177 (2004)
Javey, A., Guo, J., Farmer, D.B., Wang, Q., Yenilmez, E., Gordon, R.G., Lundstrom, M., Dai, H.: Self-Aligned Ballistic Molecular Transistors and Electrically Parallel Nanotube Arrays. Nano Lett. 4, 1319–1322 (2004)
Javey, A., Guo, J., Wang, Q., Lundstrom, M., Dai, H.: Ballistic Carbon Nanotube Field-Effect Transistors. Letters to Nature 424, 654–657 (2003)
Javey, A., Tu, R., Farmer, D.B., Guo, J., Gordon, R.G., Dai, H.: High Performance n-Type Carbon Nanotube Field-Effect Transistors with Chemically Doped Contacts. Nano Lett. 5, 345–348 (2005)
John, D., Castro, L., Pereira, P., Pulfrey, D.: A Schrödinger-Poisson Solver for Modeling Carbon Nanotube FETs. Proc. NSTI Nanotech 3, 65–68 (2004)
John, D.L., Castro, L.C., Pulfrey, D.L.: Quantum Capacitance in Nanoscale Device Modeling. J. Appl. Phys. 96, 5180–5184 (2004)
Kerkhoven, T., Galick, A.T., Ravaioli, U., Arends, J.H., Saad, Y.: Efficient numerical simulation of electron states in quantum wires. J. Appl. Phys. 68, 3461–3469 (1990)
Kim, B.M., Brintlinger, T., Cobas, E., Zheng, H., Fuhrer, M., Yu, Z., Droopad, R., Ramdani, J., Eisenbeiser, K.: High-Performance Carbon Nanotube Transistors on SrTiO3/Si Substrates. Appl. Phys. Lett. 84, 1946–1948 (2004)
Lake, R., Klimeck, G., Bowen, R.C., Jovanovic, D., Blanks, D., Swaminathan, M.: Quantum Transport with Band-Structure and Schottky Contacts. Phys. stat. sol(b) 204, 354–357 (1997)
Laux, S.E.: Techniques for Small-Signal Analysis of Semiconductor Devices. IEEE Trans. Electron Devices 32, 2028–2037 (1985)
Lin, Y.M., Appenzeller, J., Knoch, J., Avouris, P.: High-Performance Carbon Nanotube Field-Effect Transistor with Tunable Polarities. Cond-mat/0501690 (2005)
Lyness, J.N.: Notes on the Adaptive Simpson Quadrature Routine. J. ACM 16, 483–495 (1969)
Pulfrey, D.L., Castro, L., John, D., Pourfath, M., Gehring, A., Kosina, H.: Method for Predicting fT for Carbon Nanotube Field-Effect Transistors. Submitted to IEEE Tran. Nanotechnology (2005)
Radosavljevic, M., Appenzeller, J., Avouris, P., Knoch, J.: High Performance of Potassium n-Doped Carbon Nanotube Field-Effect Transistors. Appl. Phys. Lett. 84, 3693–3695 (2004)
Rho, K.M., Lee, K., Shur, M., Fjeldly, T.A.: Unified Quasi-Static MOSFET Capacitance Model. IEEE Trans. Electron Devices 40, 131–136 (1993)
Saito, R., Dresselhaus, G.D., Dresselhaus, M.S.: Physical Properties of Carbon Nanotubes. Imperial College Press (1998)
Stern, F.: Iteration Methods for Calculating Self-Consistent Fields in Semiconductor Inversion Layers. Phys. Stat. Sol(b) 6, 56–67 (1970)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Pourfath, M., Kosina, H. (2006). Fast Convergent Schrödinger-Poisson Solver for the Static and Dynamic Analysis of Carbon Nanotube Field Effect Transistors. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2005. Lecture Notes in Computer Science, vol 3743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11666806_66
Download citation
DOI: https://doi.org/10.1007/11666806_66
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-31994-8
Online ISBN: 978-3-540-31995-5
eBook Packages: Computer ScienceComputer Science (R0)