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

A. E. Koshelev, I. Aranson

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43 Citations (Scopus)

Abstract

We investigate the dynamics of the Josephson vortex lattice in layered high-(formula presented) superconductors at high magnetic fields. Starting from coupled equations for superconducting phases and magnetic field we derive equations for the relative displacements (phase shifts) between the planar Josephson arrays in the layers. These equations reveal two families of steady-state solutions: lattices with constant phase shifts between neighboring layers, starting from zero for a rectangular configuration to (formula presented) for a triangular configuration, and double-periodic lattices. We find that the excess Josephson current is resonantly enhanced when the Josephson frequency matches the frequency of the plasma mode at the wave vector selected by the lattice structure. The regular lattices exhibit several kinds of instabilities. We find stability regions of the moving lattice in the plane [lattice structure]-[Josephson frequency]. A specific lattice structure at given velocity is selected uniquely by boundary conditions, which are determined by the reflection properties of electromagnetic waves generated by the moving lattice. With increase of velocity the moving configuration experiences several qualitative transformations. At small velocities the regular lattice is stable and the phase shift between neighboring layers smoothly decreases with increase of velocity, starting from (formula presented) for a static lattice. At the critical velocity the lattice becomes unstable. At even higher velocity a regular lattice is restored again with the phase shift smaller than π/2. With increase of velocity, the structure evolves towards a rectangular configuration.

Original languageEnglish (US)
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume64
Issue number17
DOIs
StatePublished - Jan 1 2001

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High temperature superconductors
high temperature superconductors
Phase shift
phase shift
Magnetic fields
configurations
Electromagnetic waves
Superconducting materials
Vortex flow
Boundary conditions
Plasmas
critical velocity
magnetic fields
electromagnetic radiation

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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title = "Dynamic structure selection and instabilities of driven Josephson lattice in high-temperature superconductors",
abstract = "We investigate the dynamics of the Josephson vortex lattice in layered high-(formula presented) superconductors at high magnetic fields. Starting from coupled equations for superconducting phases and magnetic field we derive equations for the relative displacements (phase shifts) between the planar Josephson arrays in the layers. These equations reveal two families of steady-state solutions: lattices with constant phase shifts between neighboring layers, starting from zero for a rectangular configuration to (formula presented) for a triangular configuration, and double-periodic lattices. We find that the excess Josephson current is resonantly enhanced when the Josephson frequency matches the frequency of the plasma mode at the wave vector selected by the lattice structure. The regular lattices exhibit several kinds of instabilities. We find stability regions of the moving lattice in the plane [lattice structure]-[Josephson frequency]. A specific lattice structure at given velocity is selected uniquely by boundary conditions, which are determined by the reflection properties of electromagnetic waves generated by the moving lattice. With increase of velocity the moving configuration experiences several qualitative transformations. At small velocities the regular lattice is stable and the phase shift between neighboring layers smoothly decreases with increase of velocity, starting from (formula presented) for a static lattice. At the critical velocity the lattice becomes unstable. At even higher velocity a regular lattice is restored again with the phase shift smaller than π/2. With increase of velocity, the structure evolves towards a rectangular configuration.",
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AB - We investigate the dynamics of the Josephson vortex lattice in layered high-(formula presented) superconductors at high magnetic fields. Starting from coupled equations for superconducting phases and magnetic field we derive equations for the relative displacements (phase shifts) between the planar Josephson arrays in the layers. These equations reveal two families of steady-state solutions: lattices with constant phase shifts between neighboring layers, starting from zero for a rectangular configuration to (formula presented) for a triangular configuration, and double-periodic lattices. We find that the excess Josephson current is resonantly enhanced when the Josephson frequency matches the frequency of the plasma mode at the wave vector selected by the lattice structure. The regular lattices exhibit several kinds of instabilities. We find stability regions of the moving lattice in the plane [lattice structure]-[Josephson frequency]. A specific lattice structure at given velocity is selected uniquely by boundary conditions, which are determined by the reflection properties of electromagnetic waves generated by the moving lattice. With increase of velocity the moving configuration experiences several qualitative transformations. At small velocities the regular lattice is stable and the phase shift between neighboring layers smoothly decreases with increase of velocity, starting from (formula presented) for a static lattice. At the critical velocity the lattice becomes unstable. At even higher velocity a regular lattice is restored again with the phase shift smaller than π/2. With increase of velocity, the structure evolves towards a rectangular configuration.

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