Abstract:
A quantitative analysis of a microscopic model for the intrinsic Josephson effect in high-temperature superconductors based on interlayer tunneling is presented both within a mean-field BCS evaluation and a numerically essentially exact Quantum Monte-Carlo study. The pairing correlations in the CuO2-planes are modelled by a 2D Hubbard model with attractive interaction, a model which accounts well for some of the observed features such as the short planar coherence length. The stack of Hubbard planes is arranged on a torus, which is threaded by a magnetic flux. The current perpendicular to the planes is calculated as a function of applied flux (i.e. the phase), and - after careful elimination of finite-size effects due to single-particle tunneling - found to display a sinusoidal field dependence in accordance with interlayer Josephson tunneling. Studies of the temperature dependence of the supercurrent reveal at best a mild elevation of the Josephson transition temperature compared to the planar Kosterlitz-Thouless temperature. These and other results on the dependence of the model parameters are compared with a standard BCS evaluation.
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Received: 24 February 1998 / Revised: 28 April 1998 / Accepted: 23 June 1998
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Hanke, W., Schmitt, O., Endres, H. et al. A microscopic model for the intrinsic Josephson tunneling in high- superconductors. Eur. Phys. J. B 5, 465–471 (1998). https://doi.org/10.1007/s100510050467
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DOI: https://doi.org/10.1007/s100510050467