Electrodynamics of Josephson vortex lattice in high-temperature superconductors

Abstract

We studied 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 is inversely proportional to the anisotropy. The cases of weak and strong dissipation are realized in $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{r}}_2\mathrm{CaC}{\mathrm{u}}_2{\mathrm{O}}_{\mathrm{x}}$ and underdoped $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{\mathrm{x}}$ correspondingly. The main feature of the response is the Josephson-plasma-resonance peak. In the weak-dissipation case additional satellites appear in the dilute regime mostly in the higher-frequency region due to excitation of the plasma modes with the wave vectors set by the lattice structure. In the dense-lattice limit the plasma peak moves to higher frequency and its intensity rapidly decreases, in agreement with experiment and analytical theory. 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 $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{\mathrm{x}}$. It is caused by frequency dependence of in-plane contribution to losses rather then a definite mode of phase oscillations.

10 pages, 7 figures, to be published in Phys.Rev.B, supplementary animations of oscillating local electric field can be found at http://mti.msd.anl.gov/homepages/koshelev/projects/JPRinJVL/Nz2vc0_32vab6_0Anim.htm

References in corpus (10)

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• Dynamic structure selection and instabilities of driven Josephson lattice in high-temperature superconductors
• Probing quasiparticle dynamics in Bi2Sr2CaCu2O(8+delta) with a driven Josephson vortex lattice
• Vortex fluctuations in underdoped Bi2Sr2CaCu2O8+d crystals
• New Josephson Plasma Modes in Underdoped YBa2Cu3O6.6 Induced by Parallel Magnetic Field
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• Two Phase Collective Modes in Josephson Vortex Lattice in Intrinsic Josephson Junction Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Energy landscape and shear modulus of interlayer Josephson vortex systems
• Evidence for LineLike Vortex Liquid Phase in Tl${}_2$Ba${}_2$CaCu${}_2$O${}_8$ Probed by the Josephson Plasma Resonance
• Vortex Solid-Liquid Transition in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ with a High Density of Strong Pins

Cited by in corpus (4)

• THz emission from a stacked coherent flux-flow oscillator: non-local radiative boundary conditions and the role of geometrical resonances
• Dynamical decoherence of the light induced interlayer coupling in YBa${}_2$Cu${}_3$O${}_{6+\delta }$
• Terahertz field control of interlayer transport modes in cuprate superconductors
• In-plane field-induced vortex liquid correlations in underdoped Bi_2Sr_2CaCu_2O_8+δ