Abstract
We study the thermal dynamics of charge carriers jum** across potential traps in a one-dimensional semiconductor layer. The potential traps are denser at the middle layer and decay exponentially when moving away from it. Such a distribution drives the diffusion of the charge carriers toward the centre. Then, the application of a non-uniform temperature, hotter around the centre, gives a chance for some of the charge carriers to spread out. Exposing the system to an external bistable potential, more intense at the two ends of the semiconductor layer, forces the outward-moving charge carriers to condense around two localised positions. As a result, charge carriers are dense in the central region and in two symmetrically positioned regions away from the centre. Using numerical simulation, in the framework of three-state approximation, we investigate the mobility of charge carriers as a function of different controlling parameters. In the presence of two time-varying signals, we calculate explicitly the transition rates from the middle layer towards the edges of the semiconductor layer and vice versa. We also study the stochastic resonance by monitoring the asymmetric mean position of the charge carrier distribution, that is triggered by the synchronisation of signals with the noise-driven transition.
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References
M B Prince, Phys. Rev. 93, 1204 (1954)
B Abeles, Phys. Rev. 131, 1906 (1963)
M Borromeo and F Marchesoni, Phys. Rev. E 81, 012102 (2010)
S Fauve and F Heslot, Phys. Lett. A 97, 5 (1983)
A R Bulsara, M E Inchiosa and L Gammaitoni, Phys. Rev. Lett. 77, 2162 (1996)
A Nitkin, N G Stocks and A R Bulsara, Phys. Rev. E 68, 036133 (2003)
B McNamara, K Wiesenfeld and R Roy, Phys. Rev. Lett. 60, 2626 (1988)
F Marchesoni, A Apostolico and S Satucci, Phys. Rev. E 59, 3958 (1999)
P K Ghosh, B C Bang and D S Ray, J. Chem. Phys. 127, 044510 (2004)
F Bouthanoute, L El Arroum, Y Boughaleb and M Mazroui, Moroc. J. Phys.-Condens. Matter 9, 17 (2007)
N G van Kampen, J. Phys. Chem. Solids 49, 673(1988)
B Aragie, Yergou B Tateka and M Bekele, Eur. Phys. J. B 87, 101 (2014)
B Aragie, M Asfaw, L Demeyu and M Bekele, EPJB 87, 214 (2014)
B Aragie, J. Comput. Theor. Trans. 48(1), 36 (2019)
B Aragie, J. Comput. Theor. Trans. 49(2), 88 (2020)
B Aragie, Int. J. Mod. Phys. B 28, 1550011 (2014)
M Asfaw, B Aragie and M Bekele, Eur. Phys. J. B 79, 371 (2011)
V Narayan and M Willander, Phys. Rev. B 65, 125330 (2002)
V Narayan and M Willander, Phys. Rev. B 65, 075308 (2002)
E T Owen and C H W Barnes, Phys. Rev. Appl. 6, 054007 (2016)
S Kumar, K J Thomas, L W Smith, M Pepper, G L Creeth, I Farrer, D Ritchie, G Jones and J Griffiths, Phys. Rev. B 90, 201304(R) (2014)
D A Neamen, Semicondutor physics and devices: Basic principles (McGraw-Hill, New York, 2003)
J Zhang, W Cui, M Juda, D McCammon, R L Kelley, S H Moseley, C K Stahle and A E Szymkowiak, Phys. Rev. B 48, 2312 (1993)
Acknowledgements
GP acknowledges the South African Centre for High Performance Computing (CHPC) and Dr A Lopis for assistance and granting access to computational resources under the allocation MATS0887.
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Aragie, B., Bekele, M. & Pellicane, G. Noise-formed triple-well potential and stochastic resonance of charge carriers. Pramana - J Phys 96, 59 (2022). https://doi.org/10.1007/s12043-021-02273-z
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DOI: https://doi.org/10.1007/s12043-021-02273-z