2021
DOI: 10.1088/1361-648x/ac360b
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Phase fluctuations in conventional superconductors

Abstract: Within the Bardeen–Cooper–Schrieffer (BCS) theory, superconductivity is entirely governed by the pairing energy scale, which gives rise to the superconducting energy gap, Δ. However, another important energy scale, the superfluid phase stiffness, J, which determines the resilience of the superconductor to phase-fluctuations is normally ignored. The spectacular success of BCS theory owes to the fact that in conventional superconductors J is normally several orders of magnitude larger than Δ and thus an irreleva… Show more

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Cited by 10 publications
(10 citation statements)
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“…The approach of this work is based on a mean-field approximation for the complex network of puddles, therefore we point to the importance of considering different topologies for the organization of the puddles and how this can affect not only the transition to the superconducting state [81], but also its possible interplay with the superconducting fluctuations of preformed Cooper pairs observed in the pseudogap phase above T c in cuprates [82], as well as in conventional superconductors such as NbN thin films [83], in terms of local superconductivity. We reinforce that our mean-field treatment is a simplified picture of any actual unconventional superconducting system, since quantum fluctuations are not explicitly included in the calculations, which are known to play a significant role for example in underdoped cuprates and disordered conventional s-wave superconductors [84]. Within the synchronization picture of the network of puddles, these phase fluctuations are accounted for in the picture of local formation of superconducting pairs inside the puddles, as described in [46].…”
Section: Conclusion and Discussionmentioning
confidence: 86%
“…The approach of this work is based on a mean-field approximation for the complex network of puddles, therefore we point to the importance of considering different topologies for the organization of the puddles and how this can affect not only the transition to the superconducting state [81], but also its possible interplay with the superconducting fluctuations of preformed Cooper pairs observed in the pseudogap phase above T c in cuprates [82], as well as in conventional superconductors such as NbN thin films [83], in terms of local superconductivity. We reinforce that our mean-field treatment is a simplified picture of any actual unconventional superconducting system, since quantum fluctuations are not explicitly included in the calculations, which are known to play a significant role for example in underdoped cuprates and disordered conventional s-wave superconductors [84]. Within the synchronization picture of the network of puddles, these phase fluctuations are accounted for in the picture of local formation of superconducting pairs inside the puddles, as described in [46].…”
Section: Conclusion and Discussionmentioning
confidence: 86%
“…Being ∆ ≪ J s , the SC transition is thus essentially driven by the suppression of ∆. This scenario holds even in the presence of strong disorder and in partially inhomogeneous systems [38,39]. At the same time, in BCS conventional superconductors, J s ≈ E F (E F being the Fermi energy of the metal) is directly proportional to the number of superfluid carriers n s , with J s ∼ n s /m * , and m * the carrier effective mass.…”
Section: Filamentary Superconductivitymentioning
confidence: 85%
“…The GL theory also gives an estimate of J s and it is considered to be the energy required to twist the phase of a superconductor [71,72]. It is given by:…”
Section: Superconducting Properties: Different Mechanisms At Playmentioning
confidence: 99%
“…Now, PFs can be due to quantum phase fluctuations (QPFs) or thermal phase fluctuations (TPFs). The expression for superfluid density, n s which is proportional to J s for both, is given by [72]:…”
Section: Superconducting Properties: Different Mechanisms At Playmentioning
confidence: 99%