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Simulation of Shapiro Steps in Current-Voltage Characteristics of Intrinsic Josephson Junctions in High Temperature Superconductors

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Mathematical Modeling and Computational Science (MMCP 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7125))

Abstract

The phase dynamics of intrinsic Josephson junctions (IJJ) in high temperature superconductors is investigated. We calculate numerically the current-voltage characteristics (CVC) of IJJ in the framework of the capacitively coupled Josephson junctions model with diffusion current. The effect of electromagnetic irradiation on the CVC of coupled Josephson junctions is demonstrated. Variation of the Shapiro steps and of the critical current with the radiation amplitude is systematically studied for a single junction. These results are generalized for a stack of coupled Josephson junctions. The effects of coupling between junctions on the Shapiro steps in the CVC and on the electric charge oscillations in the superconducting layers at the parametric resonance are shown.

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Author information

Authors and Affiliations

  1. BLTP, JINR, Dubna, Moscow Region, 141980, Russia

    Mahmoud Gaafar & Yury Shukrinov

  2. Department of Physics, Faculty of Science, Menoufiya University, Egypt

    Mahmoud Gaafar, Hussein El Samman & Sanaa Maize

Authors
  1. Mahmoud Gaafar
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  2. Yury Shukrinov
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  3. Hussein El Samman
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  4. Sanaa Maize
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Editor information

Editors and Affiliations

  1. Laboratory of Information Technologies, Joint Institute for Nuclear Research, 6 Joliot Curie St., 141980, Dubna, Russia

    Gheorghe Adam

  2. Technical University of Košice, Němcovej 32, 042 00, Košice, Slovakia

    Ján Buša

  3. Pavol Jozef Šafárik University, Jesenná 5, 040 01, Košice, Slovakia

    Michal Hnatič

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© 2012 Springer-Verlag Berlin Heidelberg

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Gaafar, M., Shukrinov, Y., El Samman, H., Maize, S. (2012). Simulation of Shapiro Steps in Current-Voltage Characteristics of Intrinsic Josephson Junctions in High Temperature Superconductors. In: Adam, G., Buša, J., Hnatič, M. (eds) Mathematical Modeling and Computational Science. MMCP 2011. Lecture Notes in Computer Science, vol 7125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28212-6_24

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  • DOI: https://doi.org/10.1007/978-3-642-28212-6_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28211-9

  • Online ISBN: 978-3-642-28212-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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