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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 π 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 π 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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“…(17) and (23). The lattice is stable if there is no exponentially growing solution in the whole q-interval 0 < q < π, i.e.,…”

Section: Stability Of Coherent Steady-statesmentioning

confidence: 99%

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

Koshelev

Aranson

2001

Phys. Rev. B

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“…This is of particular interest in CeCoIn 5 because normal-state transport measurements reveal strong inelastic scattering and non-Fermi-liquid behaviour 25,26 . In the cuprates, where similarly strong scattering is observed in the normal state 27 , electrodynamic measurements show a rapid collapse in quasiparticle scattering on cooling through T c [28][29][30] , indicating that the charge carriers couple to a spectrum of fluctuations of electronic origin, in contrast to the phonons of a conventional metal. Early measurements on CeCoIn 5 are suggestive of similar behaviour 2,17 .…”

mentioning

confidence: 99%

Nodal quasiparticle dynamics in the heavy fermion superconductor CeCoIn5 revealed by precision microwave spectroscopy

et al. 2013

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CeCoIn 5 is a heavy fermion superconductor with strong similarities to the high-T c cuprates, including quasi-two-dimensionality, proximity to antiferromagnetism and probable d-wave pairing arising from a non-Fermi-liquid normal state. Experiments allowing detailed comparisons of their electronic properties are of particular interest, but in most cases are difficult to realize, due to their very different transition temperatures. Here we use low-temperature microwave spectroscopy to study the charge dynamics of the CeCoIn 5 superconducting state. The similarities to cuprates, in particular to ultra-clean YBa 2 Cu 3 O y , are striking: the frequency and temperature dependence of the quasiparticle conductivity are instantly recognizable, a consequence of rapid suppression of quasiparticle scattering below T c ; and penetration-depth data, when properly treated, reveal a clean, linear temperature dependence of the quasiparticle contribution to superfluid density. The measurements also expose key differences, including prominent multiband effects and a temperature-dependent renormalization of the quasiparticle mass.

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“…The anomalous fluctuations develop a gap in the superconducting state as predicted [11] and observed in a wide variety of experiments on quasiparticle relaxation rate deduced through transport experiments [12] and in angle resolved photoemission experiments [13]. The symmetry of the superconducting state appears to be consistent with "D-wave" (if the lattice is assumed tetragonal) [14].…”

Section: Constraints From Experimentsmentioning

confidence: 69%