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

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

2008-08-11

arxiv.org/abs/0808.1514v1

Phys. Rev. Lett. 101, 127002 (2008)

Physics

Condensed Matter

Superconductivity

10 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.101.127002

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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