Shape waves in 2D Josephson junctions: exact solutions and time dilation

We predict a new class of excitations propagating along a Josephson vortex in two-dimensional Josephson junctions. These excitations are associated with the distortion of a Josephson vortex line and have an analogy with shear waves in solid mechanics. Their shapes can have an arbitrary profile, whic...

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Bibliographic Details
Published in:Physical review letters 2008-09, Vol.101 (12), p.127002-127002, Article 127002
Main Authors: Gulevich, D R, Kusmartsev, F V, Savel'ev, Sergey, Yampol'skii, V A, Nori, Franco
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
EXACT SOLUTIONS
EXCITATION
JOSEPHSON JUNCTIONS
RELATIVITY THEORY
TWO-DIMENSIONAL CALCULATIONS
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Summary:We predict a new class of excitations propagating along a Josephson vortex in two-dimensional Josephson junctions. These excitations are associated with the distortion of a Josephson vortex line and have an analogy with shear waves in solid mechanics. Their shapes can have an arbitrary profile, which is retained when propagating. We derive a universal analytical expression for the energy of arbitrary shape excitations, investigate their influence on the dynamics of a vortex line, and discuss conditions where such excitations can be created. Finally, we show that such excitations play the role of a clock for a relativistically moving Josephson vortex and suggest an experiment to measure a time dilation effect analogous to that in special relativity.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.101.127002