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Description of the Spectrum of Natural Noise in Semiconductor Diodes Based on the Modified Van Der Ziel Relation

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Radiophysics and Quantum Electronics Aims and scope

In this work, we study the spectrum S iD of natural (thermal and shot) current noise of the p-n junction and the Schottky barrier in the case where their current-voltage characteristic has a nonideality coefficient η exceeding unity. The results obtained with the help of a special experimental setup are presented and explained using an equivalent scheme, which takes into account the presence of the series resistance of the diode base and contacts, as well as the possibility of existence of the leakage current. It is theoretically proven and experimentally confirmed that the van der Ziel relation S iD = 2q (I D + 2I s), which is used for calculating the current-noise spectrum of an “ideal” junction with η = 1, cannot be used for η > 1 (here, q is the elementary charge, I D is the current across the junction, and I s is the junction saturation current). The previously obtained results are generalized using the Gupta theorem for the thermal-noise spectrum in the nonlinear resistive systems and are confirmed experimentally. It is found that the noise-current spectrum is given by the formula S iD = (2q/η) (I D + 2I s), which is a modification of the van der Ziel relation for the case of an arbitrary value of the nonideality coefficient. The obtained formula for S iD is experimentally tested by measuring the noise spectrum of the δ-doped Schottky diode, which is in thermodynamic equilibrium with the surrounding medium.

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Authors and Affiliations

  1. N. I. Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia

    A. V. Klyuev, E. I. Shmelev & A. V. Yakimov

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  1. A. V. Klyuev
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  2. E. I. Shmelev
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  3. A. V. Yakimov
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Correspondence to A. V. Klyuev.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 57, No. 12, pp. 995–1004, December 2014.

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Klyuev, A.V., Shmelev, E.I. & Yakimov, A.V. Description of the Spectrum of Natural Noise in Semiconductor Diodes Based on the Modified Van Der Ziel Relation. Radiophys Quantum El 57, 891–899 (2015). https://doi.org/10.1007/s11141-015-9573-6

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