Instabilities of the normal state in current-biased narrow superconducting strips

Ovchinnikov, Yury N.; Varlamov, A. A.; Kimmel, Gregory J.; Glatz, Andreas

doi:10.1103/physrevb.101.014511

Cited by 3 publications

(3 citation statements)

References 25 publications

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“…In the non-hysteretic IV curve measured at temperature T/Tc = 0.9, the appearance of intermediate non-zero resistance, before resistive state is reached above the critical current, could be related to the formation and instability of phase slips centre. [23] As previously said, the hysteresis observed in the IVCs for this kind of structure is thermally induced [14] and not related to the fact that the Stewart-McCumber parameter is much smaller than one, βc << 1 because of the very small value of the intrinsic capacitance C in nanobridges. In fact, in our nanobridges it has been estimated C ~10 -17 F which would give a value of βc ≲ 0.05 [24].…”

Section: B Current-voltage Characteristic and Hysteresismentioning

confidence: 55%

Superconducting Nb Nanobridges for Reduced Footprint and Efficient Next-Generation Electronics

Collins

Rose

Casaburi

2023

IEEE Trans. Appl. Supercond.

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Section: B Current-voltage Characteristic and Hysteresismentioning

confidence: 55%

Superconducting Nb Nanobridges for Reduced Footprint and Efficient Next-Generation Electronics

Collins

Rose

Casaburi

2023

IEEE Trans. Appl. Supercond.

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“…The ideas proposed 60 years ago remain still requested in modern studies on the stability of current-biased superconducting wires (see [10] and references therein), transformations of the complex heavy fermion Fermi surfaces due to magnetic field effects [11,12], etc. Moreover, the concept of a connection between the topological properties of the different materials exhibiting gapless states and the occurrence of the exotic Lifshitz transitions was recently discussed in literature based on very general topological arguments.…”

Section: Introductionmentioning

confidence: 99%

Topological phase transition between the gap and the gapless superconductors

2022

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It is demonstrated that the known for a long time transition between the gap and the gapless states in the Abrikosov-Gor’kov theory of a superconductor with paramagnetic impurities is of the Lifshitz type, i.e. of the 2\frac12212 order phase transition. We reveal the emergence of a cuspidal edge at the density of states surface N(\omega,\Delta_0)N(ω,Δ0) (\Delta_0Δ0 is the value of the superconducting order parameter in the absence of magnetic impurities) and the occurrence of the catastrophe phenomenon at the transition point. We study the stability of such a transition with respect to the spatial fluctuations of the magnetic impurities critical concentration n_sns and show that the requirement for validity of its mean field description is unobtrusive: \nabla \left( {\ln{n_s}} \right) \ll \xi^{-1}∇(lnns)≪ξ−1 (here \xiξ is the superconducting coherence length). Finally, we show that, similarly to the Lifshitz transition, the transition between gap and gapless states should be accompanied by the corresponding singularities. For instance, the superconducting thermoelectric effect has a giant peak exceeding the normal value of the Seebeck coefficient by the ratio of the Fermi energy and the superconducting gap. The concept of the experiment for the confirmation of 2\frac12212 order transition nature is proposed. The obtained theoretical results can be applied for the explanation of recent experiments with lightwave-driven gapless superconductivity, for the new interpretation of the disorder induced transition s_{\pm}s±-s_{++}s++ states via gapless state in multi-band superconductors, for better understanding of the gapless color superconductivity in quantum chromodynamics, the string theory.

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“…Investigations of Josephson effect, current flow in narrow superconducting strips [1], and dynamical states [2] in superconductors with use of TDGLE (time-dependent Ginzburg-Landau equation) lead to the necessity to deal with an important phenomenon: phase slip events. It is interesting that the study of the distribution of zeros for Riemann's ζ function (see below Eqs.…”

Section: Introductionmentioning

confidence: 99%

Zeros of Riemann’s Zeta Functions in the Line z=1/2+it0

Ovchinnikov

2019

J Supercond Nov Magn

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It was found that, in addition to trivial zeros in points (z = − 2N, N = 1, 2…, natural numbers), the Riemann's zeta function ζ(z) has zeros only on the line {z ¼ 1 2 þ it 0 , t 0 is real}. All zeros are numerated, and for each number, N, the positions of the nonoverlap intervals with one zero inside are found. The simple equation for the determination of centers of intervals is obtained. The analytical function η(z), leading to the possibility fix the zeros of the zeta function ζ(z), was estimated. To perform the analysis, the well-known phenomenon, phase-slip events, is used. This phenomenon is the key ingredient for the investigation of dynamical processes in solid-state physics, for example, if we are trying to solve the TDGLE (time-dependent Ginzburg-Landau equation).Open Access This article is distributed under the terms of the Creative Comm ons Attribution 4.0 International License (http:// creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

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Instabilities of the normal state in current-biased narrow superconducting strips

Cited by 3 publications

References 25 publications

Superconducting Nb Nanobridges for Reduced Footprint and Efficient Next-Generation Electronics

Superconducting Nb Nanobridges for Reduced Footprint and Efficient Next-Generation Electronics

Topological phase transition between the gap and the gapless superconductors

Zeros of Riemann’s Zeta Functions in the Line z=1/2+it0

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