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An influence of the curvature on the kink dynamics in the spherical Josephson junction

Keywords: Josephson junction , Sine-Gordon model , Kink solution

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Abstract:

area Josephson junction.Design/methodology/approach: The effective Lagrangian method is used in order to obtain the dynamics of the sine-Gordon kink on a curved manifold.Findings: The main finding of this article is an effective potential that describes the influence of the curvature on the kink motion in the spherical Josephson junction.Research limitations/implications: The paper is limited to the description of the dynamics of kinks that move with non relativistic speeds in narrow Josephson junctions.Practical implications: It seems that junctions with appropriate geometry will find applications in future electronic devices. It is expected that curved Josephson junctions can be used in order to store a binary data.Originality/value: The main idea of the paper is to use a Riemann geometry in order to describe the influence of the curvature on the kink motion in the spherical junction.

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