Critical current of a granular d-wave superconductor

Afsaneh, Elaheh; Yavari, H.

doi:10.1016/j.ssc.2012.07.007

Cited by 2 publications

(3 citation statements)

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“…Based on the Meilikhov ś model, the granular critical current is obtained by averaging over all superconducting grains with random distribution function [36]. Previously we implemented this procedure to obtain the electrical current of granular s-wave [33] and d-wave [34] superconductors with different geometries. Now in this study, we consider a Josephson junction made by conventional superconducting grains.…”

Section: Critical Heat Current Of Granular Systemsmentioning

confidence: 99%

“…Another protocol to enhance the transport properties becomes possible by applying different geometric frustration for the junction areas. The particular geometries used in junctions for studying the electrical transport [33,34] and thermal current [35] are rectangular, circular, and annular.…”

Section: Introductionmentioning

confidence: 99%

“…The aim of this paper is to study the phase-dependent heat current of the granular Josephson junction under the effect of a magnetic field control. Previously, we calculate the electric transport of granular s-wave [33] and dwave [34] superconducting systems in an applied magnetic field. To obtain the thermal current of the granular Josephson junction in analogy with the electric current, firstly we consider the heat current of the bulk superconducting system with different geometries [35].…”

Section: Introductionmentioning

confidence: 99%

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Phase-dependent heat current of granular Josephson junction for different geometries

Afsaneh

Yavari

2018

Physics Letters A

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We theoretically investigate the phase-dependent heat transport of a temperaturebiased granular Josephson junction in the presence of a perpendicular magnetic field. We illustrate the influence of geometry of the junction on the thermal current. The use of granular Josephson junction rather than bulk one makes significant changes in the heat current behavior. The heat current diffraction pattern of the rectangular, circular and annular geometries with no trapped fluxons demonstrates similar to the current of s-wave superconducting junction. By increasing the number of trapped fluxon, the pattern of current behaves such as d-wave superconducting junction. The feasibility of using granular superconductors, with different geometries, controlled by the magnetic field provides an appropriate tool to obtain the desired result for a specific application.

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Section: Critical Heat Current Of Granular Systemsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Phase-dependent heat current of granular Josephson junction for different geometries

Afsaneh

Yavari

2018

Physics Letters A

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Efficient approximation of the Struve functions H n occurring in the calculation of sound radiation quantities

Aarts

Janssen

2016

The Journal of the Acoustical Society of America

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The Struve functions H(z), n=0, 1, ... are approximated in a simple, accurate form that is valid for all z≥0. The authors previously treated the case n = 1 that arises in impedance calculations for the rigid-piston circular radiator mounted in an infinite planar baffle [Aarts and Janssen, J. Acoust. Soc. Am. 113, 2635-2637 (2003)]. The more general Struve functions occur when other acoustical quantities and/or non-rigid pistons are considered. The key step in the paper just cited is to express H(z) as (2/π)-J(z)+(2/π) I(z), where J is the Bessel function of order zero and the first kind and I(z) is the Fourier cosine transform of [(1-t)/(1+t)], 0≤t≤1. The square-root function is optimally approximated by a linear function ĉt+d̂, 0≤t≤1, and the resulting approximated Fourier integral is readily computed explicitly in terms of sin z/z and (1-cos z)/z. The same approach has been used by Maurel, Pagneux, Barra, and Lund [Phys. Rev. B 75, 224112 (2007)] to approximate H(z) for all z≥0. In the present paper, the square-root function is optimally approximated by a piecewise linear function consisting of two linear functions supported by [0,t̂] and [t̂,1] with t̂ the optimal take-over point. It is shown that the optimal two-piece linear function is actually continuous at the take-over point, causing a reduction of the additional complexity in the resulting approximations of H and H. Furthermore, this allows analytic computation of the optimal two-piece linear function. By using the two-piece instead of the one-piece linear approximation, the root mean square approximation error is reduced by roughly a factor of 3 while the maximum approximation error is reduced by a factor of 4.5 for H and of 2.6 for H. Recursion relations satisfied by Struve functions, initialized with the approximations of H and H, yield approximations for higher order Struve functions.

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Critical current of a granular d-wave superconductor

Cited by 2 publications

References 42 publications

Phase-dependent heat current of granular Josephson junction for different geometries

Phase-dependent heat current of granular Josephson junction for different geometries

Efficient approximation of the Struve functions H n occurring in the calculation of sound radiation quantities

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