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Title: Electrodynamics of the Josephson vortex lattice in high-temperature superconductors.

Abstract

We studied the response of the Josephson vortex lattice in layered superconductors to the high-frequency c-axis electric field. We found a simple relation connecting the dynamic dielectric constant with the perturbation of the superconducting phase, induced by oscillating electric field. Numerically solving equations for the oscillating phases, we computed the frequency dependences of the loss function at different magnetic fields, including regions of both dilute and dense Josephson vortex lattices. The overall behavior is mainly determined by the c-axis and in-plane dissipation parameters, which are inversely proportional to the anisotropy. The cases of weak and strong dissipations are realized in Bi2Sr2CaCu2Ox and underdoped YBa2Cu3Ox, respectively. The main feature of the response is the Josephson-plasma-resonance peak. In the weak-dissipation case, additional satellites appear in the dilute regime in the higher-frequency region due to the excitation of the plasma modes with the wave vectors set by the lattice structure. In the dense-lattice limit, the plasma peak moves to a higher frequency, and its intensity rapidly decreases, in agreement with experiment and analytical theory. The behavior of the loss function at low frequencies is well described by the phenomenological theory of vortex oscillations. In the case of very strong in-plane dissipation, an additionalmore » peak in the loss function appears below the plasma frequency. Such peak has been observed experimentally in underdoped YBa2Cu3Ox. It is caused by the frequency dependence of the in-plane contribution to losses rather than a definite mode of phase oscillations.« less

Authors:
;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
915021
Report Number(s):
ANL/MSD/JA-59629
Journal ID: ISSN 0163-1829; PRBMDO; TRN: US200817%%66
DOE Contract Number:
DE-AC02-06CH11357
Resource Type:
Journal Article
Resource Relation:
Journal Name: Phys. Rev. B; Journal Volume: 76; Journal Issue: 2007
Country of Publication:
United States
Language:
ENGLISH
Subject:
36 MATERIALS SCIENCE; HIGH-TC SUPERCONDUCTORS; JOSEPHSON EFFECT; DIELECTRIC PROPERTIES; PHASE STUDIES; PHASE OSCILLATIONS; BISMUTH OXIDES; STRONTIUM OXIDES; CALCIUM OXIDES; COPPER OXIDES; YTTRIUM OXIDES; BARIUM OXIDES; ELECTRODYNAMICS; FREQUENCY DEPENDENCE; LANGMUIR FREQUENCY

Citation Formats

Koshelev, A. E., and Materials Science Division. Electrodynamics of the Josephson vortex lattice in high-temperature superconductors.. United States: N. p., 2007. Web. doi:10.1103/PhysRevB.76.054525.
Koshelev, A. E., & Materials Science Division. Electrodynamics of the Josephson vortex lattice in high-temperature superconductors.. United States. doi:10.1103/PhysRevB.76.054525.
Koshelev, A. E., and Materials Science Division. Mon . "Electrodynamics of the Josephson vortex lattice in high-temperature superconductors.". United States. doi:10.1103/PhysRevB.76.054525.
@article{osti_915021,
title = {Electrodynamics of the Josephson vortex lattice in high-temperature superconductors.},
author = {Koshelev, A. E. and Materials Science Division},
abstractNote = {We studied the response of the Josephson vortex lattice in layered superconductors to the high-frequency c-axis electric field. We found a simple relation connecting the dynamic dielectric constant with the perturbation of the superconducting phase, induced by oscillating electric field. Numerically solving equations for the oscillating phases, we computed the frequency dependences of the loss function at different magnetic fields, including regions of both dilute and dense Josephson vortex lattices. The overall behavior is mainly determined by the c-axis and in-plane dissipation parameters, which are inversely proportional to the anisotropy. The cases of weak and strong dissipations are realized in Bi2Sr2CaCu2Ox and underdoped YBa2Cu3Ox, respectively. The main feature of the response is the Josephson-plasma-resonance peak. In the weak-dissipation case, additional satellites appear in the dilute regime in the higher-frequency region due to the excitation of the plasma modes with the wave vectors set by the lattice structure. In the dense-lattice limit, the plasma peak moves to a higher frequency, and its intensity rapidly decreases, in agreement with experiment and analytical theory. The behavior of the loss function at low frequencies is well described by the phenomenological theory of vortex oscillations. In the case of very strong in-plane dissipation, an additional peak in the loss function appears below the plasma frequency. Such peak has been observed experimentally in underdoped YBa2Cu3Ox. It is caused by the frequency dependence of the in-plane contribution to losses rather than a definite mode of phase oscillations.},
doi = {10.1103/PhysRevB.76.054525},
journal = {Phys. Rev. B},
number = 2007,
volume = 76,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2007},
month = {Mon Jan 01 00:00:00 EST 2007}
}
  • We calculate the flux-flow resistivity of the Josephson vortex lattice in a layered superconductor taking into account both the interplane and in-plane dissipation channels. We consider the limiting cases of small fields (isolated vortices) and high fields (overlapping vortices). In the case of the dominating in-plane dissipation, typical for high-temperature superconductors, the field dependence of flux-flow resistivity is characterized by three distinct regions. As usual, at low fields the flux-flow resistivity grows linearly with field. When the Josephson vortices start to overlap the flux-flow resistivity crosses over to the regime of quadratic field dependence. Finally, at very high fields themore » flux-flow resistivity saturates at the c-axis quasiparticle resistivity. The intermediate quadratic regime indicates the dominant role of the in-plane dissipation mechanism. The shape of the field dependence of the flux-flow resistivity can be used to extract both components of the quasiparticle conductivity.« less
  • We numerically investigate Josephson vortex flow states in layered high-Tc superconductors motivated by a recent experimental observation for accurate periodic magnetic field dependences of the Josephson vortex flow resistance over a wide range of magnetic field (0.5--4.0 T). We confirm in our mesoscale simulations that dynamical matching of Josephson vortex lattice with sample edge is responsible for the periodic dependence. The present simulations reveal that the Josephson vortex lattice flow speed is particularly suppressed when the moment of vortex entry matches that of vortex escape. Thus, the possible matching situations are taken into account and the observed periodicity is successfullymore » explained.« less
  • We investigate the dynamics of the Josephson vortex lattice in layered high-{Tc} 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 {pi} 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 wavemore » 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 {pi} 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 {pi}/2. With increase of velocity, the structure evolves towards a rectangular configuration.« less
  • The square of the displacement of the vortex lattice in high-temperature superconductors has been calculated by treating the fluxons as bosons, and the melting temperature has been deduced using the Lindemann criterion. Both the zero-point fluxon and the number-density-dependent contributions to the square of the displacement are found. The field-versus-temperature relationship near the melting line is deduced. The calculated position of the melting line is in reasonable agreement with the experimental value.
  • We use the three-dimensional Josephson-junction array system as a model for studying the temperature dependence of the {ital c}-axis resistivity of high-temperature superconductors, in the presence of an external magnetic field {ital H} applied in the {ital c} direction. We show that the temperature at which the dissipation becomes different from zero corresponds to a percolation transition of the vortex lattice. In addition, the qualitative features of the resistivity versus temperature curves close to the transition are obtained starting from the geometrical configurations of the vortices. The results apply to the cases {ital H}{ne}0 and {ital H}=0. {copyright} {ital 1996more » The American Physical Society.}« less