Excitation of plasma oscillations during the motion of Josephson vortices in layered superconductors

Abstract

Electric and magnetic fields created by moving uniform lattice of Josephson vortices in the magnetic field parallel to the layers are calculated in the frame of exactly solvable model. At large velocities of the vortex lattice the plasma oscillations of superconducting electrons are excited by vortex motion, this results in interference features in I-V curves at low temperatures. The spectrum of electromagnetic radiation by moving vortices contains peaks related to the excitation of plasmons and to the Cherenkov radiation.

Dynamic structure selection and instabilities of driven Josephson lattice in high-temperature superconductors

“…One can expect a strong resonance emission when the velocity of the lattice matches the velocity of the plasma wave 7 . In a voltage-biased transport experiment this should be seen as a resonant enhancement of the transport current 8,9 , while in a current-biased experiment the resonance should be seen as a voltage jump. In conventional long Josephson junctions this effect is known as Eck peak (Eck step) 10 (see also recent article 11 and references therein).…”

“…On the other hand, the traveling Josephson lattice is coupled only to the plasma modes with the wave vectors given by the reciprocal wave vectors of the lattice, i.e., the wave vector of the resonant mode is determined by the structure of the Josephson lattice 12 . In early theoretical work [7][8][9] it was assumed that the moving lattice preserves its static structure (stretched triangular lattice) and the resonant velocity of the lattice is determined by this structure. We will show that the lattice structure experiences a nontrivial evolution with increase of velocity.…”

“…18 The phase dynamics in layered superconductors is described by the coupled sine-Gordon equations. 19,12,20,21,8,9 Two equivalent approaches have been used to derive these equations. In the first approach 19,12,20 the layered superconductor is modeled as a multilayered S-I-S-I-.…”

“…system and the parameters of the equations are expressed via the geometrical parameters and the bulk parameters of the superconducting material from which the superconducting layers are prepared. The second approach 21,8,9 , more natural for atomically layered superconductors, is based on the LawrenceDoniach model. In this approach the layers are treated as two-dimensional entities from the very beginning.…”

Amplitude hysteresis of the surface reactance of a layered superconductor

“…The electrodynamics of layered superconductors is described by nonlinear coupled sine-Gordon equations 1, [6][7][8][9][10] . This nonlinearity originates from the nonlinear relation J ∝ sin ϕ between the Josephson interlayer current J and the gauge-invariant interlayer phase difference ϕ of the order parameter.…”