Josephson Coupling, Phase Correlations, and Josephson Plasma Resonance in Vortex Liquid Phase

Abstract

Josephson plasma resonance has been introduced recently as a powerful tool to probe interlayer Josephson coupling in different regions of the vortex phase diagram in layered superconductors. In the liquid phase, the high temperature expansion with respect to the Josephson coupling connects the Josephson plasma frequency with the phase correlation function. This function, in turn, is directly related to the pair distribution function of the liquid. We develop a recipe to extract the phase and density correlation functions from the dependencies of the plasma resonance frequency ${\omega }_p(\mathbf{B})$ and the $c$ axis conductivity ${\sigma }_c(\mathbf{B})$ on the {\it ab}-component of the magnetic field at fixed {\it c} -component. Using Langevin dynamic simulations of two-dimensional vortex arrays we calculate density and phase correlation functions at different temperatures. Calculated phase correlations describe very well the experimental angular dependence of the plasma resonance field. We also demonstrate that in the case of weak damping in the liquid phase, broadening of the JPR line is caused mainly by random Josephson coupling arising from the density fluctuations of pancake vortices. In this case the JPR line has a universal shape, which is determined only by parameters of the superconductors and temperature.

22 pages, 6 figures, to appear in Phys. Rev. B, December 1

References in corpus (6)

• Abrupt Change of Josephson Plasma Frequency at the Phase Boundary of the Bragg Glass in Bi_2Sr_2CaCu_2O_{8+δ}
• High-Field Quasiparticle Tunneling in Bi_2Sr_2CaCu_2O_8+delta: Negative Magnetoresistance in the Superconducting State
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• Muon-Spin Rotation Spectra in the Mixed Phase of High-T_c Superconductors : Thermal Fluctuations and Disorder Effects

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• Reflectivity and Microwave Absorption in Crystals with Alternating Intrinsic Josephson Junctions
• Principles of 2D terahertz spectroscopy of collective excitations: the case of Josephson plasmons in layered superconductors
• Two Phase Collective Modes in Josephson Vortex Lattice in Intrinsic Josephson Junction Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Evidence for LineLike Vortex Liquid Phase in Tl${}_2$Ba${}_2$CaCu${}_2$O${}_8$ Probed by the Josephson Plasma Resonance
• Light-induced coherent interlayer transport in stripe-ordered ${\mathrm{La}}_{1.6-x}{\mathrm{Nd}}_{0.4}{\mathrm{Sr}}_x{\mathrm{CuO}}_4$
• Field Dependence of the Josephson Plasma Resonance in Layered Superconductors with Alternating Junctions
• In-plane field-induced vortex liquid correlations in underdoped Bi_2Sr_2CaCu_2O_8+δ
• Josephson Plasma Resonance in Tl${}_2$Ba${}_2$CaCu${}_2$O${}_8$ in a Magnetic Field Measured using THz Spectroscopy
• High Temperature Mixed State $c-$Axis Dissipation in Low Carrier Density $Y_{0.54}P{r}_{0.46}B{a}_{2}C{u}_3{O}_{7-\delta }$
• Effect of an in-plane magnetic field on the interlayer phase coherence in the extreme-2D organic superconductor k-(BEDT-TTF)2Cu(NCS)2