Tunnelling Effect for Quadruples Potential Using Matrix Propagation Method

Authors

  • Chilwatun Nasiroh University of Jember
  • Bambang Supriadi University of Jember
  • Rif'ati Dina Handayani University of Jember

DOI:

https://doi.org/10.12928/irip.v3i2.3066

Keywords:

Transmission coefficient, Tunneling effect, Semiconductor

Abstract

Semiconductor materials can be used as potential barriers to Tunnelling effects. In this study, four semiconductor materials are arranged in various ways to form a quadruple potential structure to analyze the value of the transmission coefficient. The analysis was conducted using the analytical and numerical matrix propagation method using Matlab2018a. The results confirmed that the inverted arrangement produces the same transmission coefficient value for each energy. So that there are 12 kinds of transmission coefficient values generated from 24 arrangements. The semiconductor material composition with the most considerable transmission coefficient value is ADCB and BCDA, which have a value of 0.8087. The variation of the arrangement affects the value of the transmission coefficient so that it can be used as a guideline for selecting the arrangement that produces the most optimum value of the transmission coefficient from various possible arrangements.

Author Biographies

Chilwatun Nasiroh, University of Jember

Physics Education Department

Bambang Supriadi, University of Jember

Physics Education Department

Rif'ati Dina Handayani, University of Jember

Physics Education Department

References

[1] R. A. Sani, M. Kadri, Quantum Physics. Jakarta: Bumi Aksara, 2016.
[2] R. M. Eisenberg and R. Resnick, Quantum Physics of Atoms, Molecules, Solids, Nuclei and Particles. New York: John Wiley & Sons, 1985.
[3] I. Abdulhalim, "Analytic Propagation Matrix Method for Anisotropic Magneto-Optic Layered Media," J. Opt. A Pure Appl. Opt., vol. 2, no. 6, pp. 557–564, 2000.
[4] A. F. J. Levi and W. R. Frensley, Applied Quantum Mechanics. Cambridge: Cambridge University Press, 2003.
[5] S. D. G. Martinz and R. V. Ramos, "Double Quantum Well Triple Barrier Structures: Analytical and Numerical Results," Can. J. Phys., vol. 94, no. 11, pp. 1180–1188, 2016.
[6] B. Supriadi, Z. R. Ridlo, Yushardi, C. I. W. Nugroho, J. Arsanti, and S. Septiana, "Tunnelling effect on triple potential barriers GaN, SiC and GaAs," J. Phys. Conf. Ser., vol. 1211, no. 1, 2019.
[7] S. H. B. Prastowo, B. Supriadi, Z. R. Ridlo, M. K. Huda, W. Bariroh, and U. Sholihah, "Theoretical Analysis Quantum Tunnelling Three Potential Barriers to the Schrodinger Equation in Grapheme," J. Phys. Conf. Ser., vol. 1211, no. 1, 2019.
[8] R. E. Siregar, "Quantum Physics," in Quantum Physics, Jatinangor: Universitas Padjajaran Press, 2018.
[9] A. Purwanto, Quantum Physics 2nd Revised Edition. Yogyakarta: Penerbit Gava Media, 2016.
[10] K. S. Krane, Modern Physics Translation by Wospakrik H. J and Niksolihin S. Jakarta: UIP, 1992.
[11] Sujarwata and P. Marwoto, Thin Film Characterization: Theory, Application and Analysis of Thin Film Deposition Results. Yogyakarta: Deepublish, 2014.
[12] G. Chen, Nanoscale Energy Transport and Conversion: A Parallel Treatment of Electrons, Molecules, Phonons, and Photons. Oxford: Oxford University Press, 2005.
[13] Jorena, "Determining the Energy Gap of Silicon Semiconductors through Measurement of Material Resistance at Various Temperatures," J. Penelit. Sains, vol. 12, no. 1, pp. 1–3, 2009.
[14] S. H. B. Prastowo, B. Supriadi, Z. R. Ridlo, and T. Prihandono, "Tunnelling Effect on Double Potential Barriers GaAs and PbS," J. Phys. Conf. Ser., vol. 1008, no. 1, 2018.
[15] A. G. Milnes and A. Y. Polyakov, "Gallium Antimonide Device Related Properties," Solid State Electron., vol. 36, no. 6, pp. 803–818, 1993.
[16] A. Sasaki, M. Nishiuma, and Y. Takeda, "Energy Band Structure and Lattice Constant Chart of III-V Mixed Semiconductors, and AlGaSb/AlGaAsSb Semiconductor Lasers on GaSb Substrates," Jpn. J. Appl. Phys., vol. 19, no. 9, pp. 1695–1702, 1980.
[17] P. S. Dutta, H. L. Bhat, and V. Kumar, "The physics and Technology of Gallium Antimonide: An Emerging Optoelectronic Material," J. Appl. Phys., vol. 81, no. 9, pp. 5821–5870, 1997.
[18] J. J. Coleman, P. D. Dapkus, N. Holonyak, and W. D. Laidig, "Device-quality Epitaxial AlAs by Metalorganic-chemical Vapor Deposition," Appl. Phys. Lett., vol. 38, no. 11, pp. 894–896, 1981.
[19] S. Adachi, GaAs and Related Materials: Bulk Semiconducting and Superlattice Properties. Singapore: World Scientific Publishing Co. Pte. Ltd, 1994.
[20] A. Mikrajuddin, Nanomaterial Characterization. Bandung: CV Rezeki Putera, 2010.

Downloads

Published

2020-12-31

Issue

Section

Articles