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Josephson penetration depth

In superconductivity, Josephson penetration depth characterizes the typical length on which an externally-applied magnetic field penetrates into the long Josephson junction. Josephson penetration depth is usually denoted as λJ and is given by the following expression (in SI):

\lambda_J=\sqrt{\frac{\Phi_0}{2\pi\mu_0 d' j_c}},

where Φ0 is the magnetic flux quantum, jc is the critical current density (A / cm2), and d' characterizes the inductance of the superconducting electrodes

d'=d_I    +\lambda_1 \coth\left(\frac{d_1}{\lambda_1}\right)   +\lambda_2 \coth\left(\frac{d_2}{\lambda_2}\right),

where dI is the thickness of the Josephson barrier (usually insulator), d1,2 are the thicknesses of superconducting electrodes, and λ1,2 are their London penetration depths.

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Josephson_penetration_depth". A list of authors is available in Wikipedia.
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