Shape Waves in 2D Josephson Junctions: Exact Solutions and Time Dilation
D. R. Gulevich, F. V. Kusmartsev, Sergey Savel’ev, V. A. Yampol’skii, Franco Nori
DOI 10.1103/PhysRevLett.101.127002 · Physical Review Letters
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Abstract
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.
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