Electrodynamics of the Josephson vortex lattice in hightemperature superconductors.
Abstract
We studied the response of the Josephson vortex lattice in layered superconductors to the highfrequency caxis 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 caxis and inplane 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 Josephsonplasmaresonance peak. In the weakdissipation case, additional satellites appear in the dilute regime in the higherfrequency region due to the excitation of the plasma modes with the wave vectors set by the lattice structure. In the denselattice 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 inplane dissipation, an additionalmore »
 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/JA59629
Journal ID: ISSN 01631829; PRBMDO; TRN: US200817%%66
 DOE Contract Number:
 DEAC0206CH11357
 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; HIGHTC 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 hightemperature 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 hightemperature superconductors.. United States. doi:10.1103/PhysRevB.76.054525.
Koshelev, A. E., and Materials Science Division. Mon .
"Electrodynamics of the Josephson vortex lattice in hightemperature superconductors.". United States.
doi:10.1103/PhysRevB.76.054525.
@article{osti_915021,
title = {Electrodynamics of the Josephson vortex lattice in hightemperature superconductors.},
author = {Koshelev, A. E. and Materials Science Division},
abstractNote = {We studied the response of the Josephson vortex lattice in layered superconductors to the highfrequency caxis 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 caxis and inplane 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 Josephsonplasmaresonance peak. In the weakdissipation case, additional satellites appear in the dilute regime in the higherfrequency region due to the excitation of the plasma modes with the wave vectors set by the lattice structure. In the denselattice 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 inplane 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 inplane 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 fluxflow resistivity of the Josephson vortex lattice in a layered superconductor taking into account both the interplane and inplane dissipation channels. We consider the limiting cases of small fields (isolated vortices) and high fields (overlapping vortices). In the case of the dominating inplane dissipation, typical for hightemperature superconductors, the field dependence of fluxflow resistivity is characterized by three distinct regions. As usual, at low fields the fluxflow resistivity grows linearly with field. When the Josephson vortices start to overlap the fluxflow resistivity crosses over to the regime of quadratic field dependence. Finally, at very high fields themore »

Dynamical matching of Josephson vortex lattice with sample edge in layered highT{sub c} superconductors : origin of periodic oscillation in the magnetic field dependence of flux flow resistance.
We numerically investigate Josephson vortex flow states in layered highTc 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 (0.54.0 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 » 
Dynamic structure selection and instabilities of driven Josephson lattice in hightemperature superconductors.
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 steadystate solutions: lattices with constant phase shifts between neighboring layers, starting from zero for a rectangular configuration to {pi} for a triangular configuration, and doubleperiodic 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 » 
Melting of the vortex lattice in hightemperature superconductors
The square of the displacement of the vortex lattice in hightemperature superconductors has been calculated by treating the fluxons as bosons, and the melting temperature has been deduced using the Lindemann criterion. Both the zeropoint fluxon and the numberdensitydependent contributions to the square of the displacement are found. The fieldversustemperature relationship near the melting line is deduced. The calculated position of the melting line is in reasonable agreement with the experimental value. 
Percolation transition of the vortex lattice and {ital c}axis resistivity in hightemperature superconductors
We use the threedimensional Josephsonjunction array system as a model for studying the temperature dependence of the {ital c}axis resistivity of hightemperature 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 »