Nonequilibrium theory of dirty, current-carrying superconductors: phase-slip oscillators in narrow filaments near T c

Watts‐Tobin, R. J.; Krähenbühl, Y.; Kramer, Lorenz

doi:10.1007/bf00117427

Cited by 219 publications

(158 citation statements)

References 20 publications

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“…In order to explore the dynamic properties in such a superconducting ring, the generalized TDGL equation can be written in the following form; 41,42 where the parameter γ=2τ E ψ 0 / characterizes the material with τ E being the inelastic collision time and ψ 0 being the value of order parameter in the absence of external field at zero temperature. This equation should be coupled with the equation for the electrostatic potential:…”

Section: Theoretical Approachmentioning

confidence: 99%

The position-dependent vortex dynamics in the asymmetric superconducting ring

Xue

Zhang

et al. 2017

AIP Advances

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We study the position-dependence of vortex motion around asymmetric mesoscopic superconducting ring for the external current flowing from inner boundaries to outer boundaries based on time-dependent Ginzburg-Landau theory. The inner hole position can have a great impact on not only the vortex configuration but also the current-voltage (I-V) characteristics. Different from the vortex rotation in the symmetric structure, we demonstrate that vortices enter/exit from outer boundaries periodically and the formation of curved vortex channel strongly depend on the inner hole position. As the inner hole is close enough to the outer boundaries, vortices get deformed even at low applied current. Flux-flow state (i.e., slow-moving Abrikosov vortices) and phase-slip state (i.e., fast-moving vortices) coexist during a multiharmonic voltage oscillation. In this way, the vortex motion and critical current of the sample can be manipulated by the hole position. At the critical current corresponding to the abrupt jump in I-V curve, vortex motion becomes unstable and the vortices are trapped in the hole for the symmetric ring, while the vortices disappear at the outer boundaries for the asymmetric ring.

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Section: Theoretical Approachmentioning

confidence: 99%

The position-dependent vortex dynamics in the asymmetric superconducting ring

Xue

Zhang

et al. 2017

AIP Advances

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“…(4) is limited by gapless superconductivity. In this section, we consider a more general approach based on the generalized TDGL equations 19 (see also Ref. 12 for review):…”

Section: Temperature Dependence Of the Viscosity Anisotropymentioning

confidence: 99%

“…12,19 Note that for Fe-based materials, the gapless regime may be achievable due to the strong interband scattering on dopant's ions. 20 In Sec.…”

Section: Introductionmentioning

confidence: 99%

Mismatch of conductivity anisotropy in the mixed and normal states of type-II superconductors

Bespalov

Mel’nikov

2012

Phys. Rev. B

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We have calculated the Bardeen-Stephen contribution to the vortex viscosity for uniaxial anisotropic superconductors within the time-dependent Ginzburg-Landau (TDGL) theory. We focus our attention on superconductors with a mismatch of anisotropy of normal and superconducting characteristics. Exact asymptotics for the Bardeen-Stephen contribution have been derived in two limits: (i) l Eab ξ ab , l Ec ξ c and (ii) l Ec ξ c , l Eab ξ ab , where l Eab , l Ec and ξ ab , ξ c are the electric field penetration lengths and the coherence lengths in the ab plane and in the direction of the c axis. Also, we suggest a variational procedure which allows us to calculate the vortex viscosity for superconductors with arbitrary parameters ξ and l E . The approximate analytical result is compared with numerical calculations. Finally, using a generalized TDGL theory, we prove that the viscosity anisotropy and, thus, the flux-flow conductivity anisotropy may depend on temperature.

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“…We note that the Lagrangian L[ψ † , ψ, χ † , χ] is obviously invariant under the gauge transformations 16) which, as will be seen below, is at the heart of the Ward identity. Whereas in general a gauge transformation is invoked to fix the condensate ∆ 0 to be real for convenience, this choice corresponds to fixing a particular gauge, which in turn hides the underlying gauge symmetry.…”

Section: B Real-time Relaxation In Linear Responsementioning

confidence: 99%

“…Kopnin [15] studied the nonequilibrium dynamics of flux flow in clean superconductors but did not address the validity of the time dependent Landau-Ginzburg description near the critical point. Watts-Tobin et al [16] studied the validity of the Landau-Ginzburg description near the critical point for dirty superconductors where relaxational processes are dominated by (elastic) collisions.…”

Section: Introductionmentioning

confidence: 99%

Nonequilibrium relaxation in neutral BCS superconductors: Ginzburg-Landau approach with Landau damping in real time

Alamoudi¹,

Boyanovsky²,

Wang³

2002

Phys. Rev. B

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We present a field-theoretical method to obtain consistently the equations of motion for small amplitude fluctuations of the order parameter directly in real time for a homogeneous, neutral BCS superconductor. This method allows to study the nonequilibrium relaxation of the order parameter as an initial value problem. We obtain the Ward identities and the effective actions for small phase the amplitude fluctuations to one-loop order. Focusing on the long-wavelength, low-frequency limit near the critical point, we obtain the time-dependent Ginzburg-Landau effective action to one-loop order, which is nonlocal as a consequence of Landau damping. The nonequilibrium relaxation of the phase and amplitude fluctuations is studied directly in real time. The long-wavelength phase fluctuation (Bogoliubov-Anderson-Goldstone mode) is overdamped by Landau damping and the relaxation time scale diverges at the critical point, revealing critical slowing down.

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Nonequilibrium theory of dirty, current-carrying superconductors: phase-slip oscillators in narrow filaments near T c

Cited by 219 publications

References 20 publications

The position-dependent vortex dynamics in the asymmetric superconducting ring

The position-dependent vortex dynamics in the asymmetric superconducting ring

Mismatch of conductivity anisotropy in the mixed and normal states of type-II superconductors

Nonequilibrium relaxation in neutral BCS superconductors: Ginzburg-Landau approach with Landau damping in real time

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