Abstract
In this work quasi-bound level energies, energy dependence of the transmission coefficients and negative differential resistance properties are studied in double and multi-barrier structures. Various barrier types such as rectangular, trapezoidal and triangular are chosen. In order to compare calculation results, maximum of the barrier height and base of the barrier width are kept constant. Only changes due to barrier shape and well region width are investigated. Mini-band formation in multi-barrier structures with different barrier shapes are compared for several well widths in energy scale. In addition, properties of the resonant tunneling peak shapes, I–V characteristics, peak-to-valley current ratios in negative differential resistance regions are compared for rectangular, trapezoidal, triangular barrier types for both double and multi-barrier structures.
References
Tsu, R., Esaki, L.: Tunneling in a finite superlattice. Appl. Phys. Lett. 22, 562–564 (1973)
Chang, L.L., Esaki, L., Tsu, R.: Resonant tunneling in semiconductor double barriers. Appl. Phys. Lett. 24, 593–595 (1974)
Tsuchiya, M., Sakaki, H.: Dependence of resonant tunneling current on well widths in AlAs/GaAs/AlAs double barrier diode structures. Appl. Phys. Lett. 49, 88 (1986)
Ohmukai, M.: Triangular double barrier resonant tunneling. Mater. Sci. Eng. 116, 87–90 (2005)
Kroemer, H.: Nobel lecture: quasielectric fields and band offsets: teaching electrons new tricks. Rev. Mod. Phys. 73, 783–793 (2001)
Wang, H., Xu, H., Zhang, Y.: A theoretical study of resonant tunneling characteristics in triangular double-barrier diodes. Phys. Lett. A 355, 481–488 (2006)
Harrison, P.: Quantum Wells, Wires, and Dots : Theoretical and Computational Physics of Semiconductor Nanostructures, pp. 62–63. Wiley, Hoboken (2005)
Li, W.: Generalized free wave transfer matrix method for solving the Schrödinger equation with an arbitrary potential profile. IEEE J. Quantum Electron. 46, 970–975 (2010)
Vatannia, S., Gildenblat, G.: Airy’s functions implementation of the transfer-matrix method for resonant tunneling in variably spaced finite superlattices. IEEE J. Quantum Electron. 32, 1093–1105 (1996)
Jonsson, B., Eng, S.: Solving the schrodinger equation in arbitrary quantum-well potential profiles using the transfer matrix method. IEEE J. Quantum Electron. 26, 2025–2035 (1990)
Oliphant, T.E.: Python for scientific computing. Comput. Sci. Eng. 9, 10–20 (2007)
Jones, E., Oliphant, T., Peterson, P., et al.: Open source scientific tools for python, Scipy (2001)
Singh, J.: Physics of Semiconductors and Their Heterostructures, pp. 184–185. McGraw-Hill, New York (1993)
Chamard, V., Schülli, T., Sztucki, M., Metzger, T.H., Sarigiannidou, E., Rouvière, J.-L., Tolan, M., Adelmann, C., Daudin, B.: Strain distribution in nitride quantum dot multilayers. Phys. Rev. B 69, 125327 (2004)
Steiger, S., Povolotskyi, M., Park, H.H., Kubis, T., Klimeck, G.: Nemo5: a parallel multiscale nanoelectronics modeling tool. IEEE Trans. Nanotechnol. 10, 1464–1474 (2011)
Datta, S.: Electronic Transport in Mesoscopic Systems. Cambridge University Press, Cambridge (1995)
Ferry, D.K., Goodnick, S.M., Bird, J.P.: Transport in Nanostructures. Cambridge University Press, Cambridge (2009)
Steiger, S.: NEMO5 User Manual. Purdue University, Network for Computational Nanotechnology Purdue University (2012)
Ohmukai, M.: The gradient of the barriers affects the resonant energy. Mod. Phys. Lett. B 17, 383–386 (2003)
Bowen, R.C., Klimeck, G., Lake, R.K., Frensley, W.R., Moise, T.: Quantitative simulation of a resonant tunneling diode. J. Appl. Phys. 81, 3207 (1997)
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Nutku, F. Quasi-bound levels, transmission and resonant tunneling in heterostructures with double and multi rectangular, trapezoidal, triangular barriers. J Comput Electron 13, 456–465 (2014). https://doi.org/10.1007/s10825-014-0556-1
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DOI: https://doi.org/10.1007/s10825-014-0556-1