Abstract
Hopping transport in disordered organic semiconductors can be described by a master equation, where the hopping process is a Poisson process, which leads to a white local noise source. With a modified Ramo-Shockley theorem the terminal current noise can be calculated by the Langevin approach. A 1D structure of a homogeneous disordered organic semiconductor is investigated. Due to the slow processes in organic semiconductors, the noise shows a strong frequency dependence at rather low frequencies without considering 1/f noise or traps. If the current is determined by the injection barrier at the contact, the low frequency noise is shot noise at sufficiently large currents.
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Burroughes, J.H., Bradley, D.D.C., Brown, A.R., Marks, R.N., Mackay, K., Friend, R.H., Burns, P.L., Holmes, A.B.: Light-emitting diodes based on conjugated polymers. Nature 347, 539 (1990)
van Kampen, N.G.: Stochastic process in physics and chemistry. North-Holland Publishing, Amsterdam (1981)
Gardiner, C.W.: Handbook of stochastic methods. Springer, Berlin (1985)
Kogan, S.: Electronic noise and fluctuations in solids. Cambridge University Press, Cambridge (1996)
Bässler, H.: Charge transport in disordered organic photoconductors—a Monte-Carlo simulation study. Phys. Status Solidi B 175, 15 (1993)
van der Holst, J.J.M., Uijttewaal, M.A., Ramachandhran, B., Coehoorn, R., Bobbert, P.A., de Wijs, G.A., de Groot, R.A.: Modeling and analysis of the three-dimensional current density in sandwich- type single-carrier devices of disordered organic semiconductors. Phys. Rev. B 79, 085203 (2009)
Szymanski, M., Luszczynska, B., Djurado, D.: Modeling the transient space-charge-limited current response of organic semiconductor diodes using the master equation approach. IEEE J. Sel. Top. Quantum Electron. 19(5), 1 (2013)
Miller, A., Abrahams, E.: Impurity conduction at low concentrations. Phys. Rev. 120, 745 (1960)
Shockley, W.: Currents to conductors induced by a moving point charge. J. Appl. Phys. 9, 635 (1938)
Ramo, S.: Currents induced by electron motion. Proc. IRE 27, 584 (1939)
Kim, H., Min, H.S., Tang, T.W., Park, Y.J.: An extended proof of the ramo-shockley theorem. Solid-State Electron. 34, 1251 (1991)
Jungemann, C., Zimmermann, C.: DC, AC and noise simulation of organic semiconductor devices based on the master equation. In: Proceedings of SISPAD, pp. 137–140 (2014)
Mesta, M., Cottaar, J., Coehoorn, R., Bobbert, P.: Study of charge-carrier relaxation in a disordered organic semiconductor by simulating impedance spectroscopy. Appl. Phys. Lett. 104(21), 213301 (2014)
Branin, F.H.: Network sensitivity and noise analysis simplified. IEEE Trans. Circuit Theory 20, 285 (1973)
Papoulis, A.: Probability, random variables, and stochastic processes, 3rd edn. McGraw-Hill, New York (1991)
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Jungemann, C. Simulation of electronic noise in disordered organic semiconductor devices based on the master equation. J Comput Electron 14, 37–42 (2015). https://doi.org/10.1007/s10825-014-0619-3
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DOI: https://doi.org/10.1007/s10825-014-0619-3