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Tamtam Proceedings - lamsin

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380 Ben Abdallah et al.ture that the valence band edge of GaSb is higher than the conduction band edge of InAsby 0.15eV . This gives rise to a tunneling window for the transmission of electrons betweenthe valence band edge and the conduction band edge. This is shown in figure 2-b).The transmission coefficients of electrons according to the valence band (dotted) and theconduction band (dashed) are calculated. The sum of both transmission coefficients givesthe total transmission coefficient (solid). The resonant peaks are seen clearly in the figure.The first peak is reached for a low energy 0.02eV in the energetic region of 0.15 eVcorresponding to the valence band. The two peaks after are reached for a higher energiescorresponding to resonance energies in the conduction band. These two peaks will nottake part in the conduction taking into account that the distribution of carriers holds witha 0.161eV Fermi level in InAs. Moreover, the high contrast between transmission in thevalence and the gap band was already found in the current curve (see figure 2-a) with alower potential corresponding to a high peak current. We also note the existence of energieshaving a transmission probability according to the valence band going to zero (-∞on a logarithmic scale).5. References[1] TSU R. AND ESAKI L., “Tunneling in a finite superlattice.”, Appl. Phys. Lett. 22 (11), 562-564,1973.[2] SWEENY M. AND XU J., “Resonant interband tunnel diodes.”, Appl. Phys. Lett. 54 (6) 546-548, 1989.[3] PINAUD O., “Transient simulations of a resonant tunneling diode.”, J. Appl. Phys., 92 4,1987-1994, 2002.[4] POLIZZI E. “Thèse de doctorat,” Institut National des Sciences appliquées, Toulouse, 2001[5] ARNOLD A., “Numerical absorbing boundary conditions for quantum evolution equation.”,VLSI Design 6, 1-4, 313, 1998.[6] BEN ABDALLAH N. AND KEFI J., “Limite semi-classique du problème de Schrödinger avecmasse variable.”, C. R. Acad. Sci. Paris t. 331, Série I, pp 165-170, 2000.[7] KEFI J., “The Schrödinger with variable mass model: mathematical analysis and semi-classicallimit.”, Quart. Appl. Math . 62, n:2, 201-220, 2004.TAMTAM –Tunis– 2005

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