Threshold perturbations in current-carrying superconducting bridges with a finite length near the critical temperature

Marychev, P. M.; Vodolazov, D. Yu.

doi:10.1134/s0021364016060072

Cited by 4 publications

(13 citation statements)

References 10 publications

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“…We consider defects with lengths l = 0.5ξ, ξ and 2ξ and calculate dependencies δF thr (I) at different α. Results of our calculations for length l = 0.5ξ are shown in figure 1 where we also present fitting expression δF thr = δF [3] and Josephson junction [4]. Besides we find that in all cases δF thr (0) ≃ I c /e (see inset in figure 1) which is typical for a Josephson junction and resembles result found in framework of GL model both in limiting cases of long L ≫ ξ and short L ≪ ξ bridges.…”

Section: Effect Of Defects On δF Thr (I)supporting

confidence: 76%

“…Instead δF thr (0) monotonically increases when L decreases following increase of I c . This result force us to check our calculations made in framework of GL model [3] and we find that this result is an artefact of used grid approximation. With proper grid we confirm absence of minimum in dependence δF thr (L) in GL model too.…”

Section: With That Parametrization the Usadel Equation Reads Asmentioning

confidence: 88%

“…We assume that there is region with the cross-section area S d < S and length l in the center of the bridge (see figure 2. To describe such a constriction, the boundary condition (4) is supplemented by conditions, similar to the conditions from [3] df…”

Section: Effect Of Defects On δF Thr (I)mentioning

confidence: 99%

“…In the work [3] LA approach was generalized for superconducting bridges with arbitrary length and it was shown that dependence δF thr (I) tends to the expression δF thr = I c (1 − I/I c ) 3/2 /e for short bridges (L ≪ ξ, I c ∝ 1/L is a critical current of the bridge). This dependence is typical for the energy of threshold fluctuation for Josephson junctions with a sinusoidal current-phase relation [4].…”

Section: Introductionmentioning

confidence: 99%

“…In the experiment one usually measures many times the switching current I sw (which has random value due to fluctuations) to find the average value I sw and the dispersion σ which are directly related to δF thr (I) (for explicit relation between I sw , σ and δF thr (I) see for example (2,3) in [11]). Note, that alternatively F thr (0) could be found from temperature dependence of resistivity near T c , because R(T ) ∝ exp(−δF thr (0)/kT ) [12].…”

Section: Introductionmentioning

confidence: 99%

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Threshold fluctuations in a superconducting current-carrying bridge

Marychev¹,

Vodolazov²

2017

Supercond. Sci. Technol.

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Abstract. We calculate the energy of threshold fluctuation δF thr which triggers the transition of superconducting current-carrying bridge to resistive state. We show that the dependence δF thr (I) ∝ I dep (1 − I/I dep ) 5/4 /e, found by Langer and Ambegaokar for a long bridge with length L ≫ ξ, holds far below the critical temperature both in dirty and clean limits (here I dep is the depairing current of the bridge and ξ is a coherence length). We also find that even 'weak' local defect (leading to the small suppression of the critical current of the bridge Ic I dep ) provides δF thr ∝ Ic (1 − I/Ic) 3/2 /e, typical for a short bridge with L ≪ ξ or a Josephson junction.

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Section: Effect Of Defects On δF Thr (I)supporting

confidence: 76%

Section: With That Parametrization the Usadel Equation Reads Asmentioning

confidence: 88%

Section: Effect Of Defects On δF Thr (I)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Threshold fluctuations in a superconducting current-carrying bridge

Marychev¹,

Vodolazov²

2017

Supercond. Sci. Technol.

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Metastability and bifurcation in superconducting nanorings

Khlebnikov

2017

Phys. Rev. B

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We describe an approach, based on direct numerical solution of the Usadel equation, to finding stationary points of the free energy of superconducting nanorings. We consider both uniform (equilibrium) solutions and the critical droplets that mediate activated transitions between them. For the uniform solutions, we compute the critical current as a function of the temperature, thus obtaining a correction factor to Bardeen's 1962 interpolation formula. For the droplets, we present a metastability chart that shows the activation energy as a function of the temperature and current. A comparison of the activation energy for a ring to experimental results for a wire connected to superconducting leads reveals a discrepancy at large currents. We discuss possible reasons for it. We also discuss the nature of the bifurcation point at which the droplet merges with the uniform solution.

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The Fluctuation Formation of Phase Solitons in Superconducting Two-Band Bridges

Marychev

2018

Phys. Solid State

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Threshold perturbations in current-carrying superconducting bridges with a finite length near the critical temperature

Cited by 4 publications

References 10 publications

Threshold fluctuations in a superconducting current-carrying bridge

Threshold fluctuations in a superconducting current-carrying bridge

Metastability and bifurcation in superconducting nanorings

The Fluctuation Formation of Phase Solitons in Superconducting Two-Band Bridges

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