Fluctuoscopy of Disordered Two-Dimensional Superconductors

Abstract

We revise the long studied problem of fluctuation conductivity (FC) in disordered two-dimensional superconductors placed in a perpendicular magnetic field by finally deriving the complete solution in the temperature-magnetic field phase diagram. The obtained expressions allow both to perform straightforward (numerical) calculation of the FC surface $\delta {\sigma }_{xx}^{(\mathrm{tot})}(T,H)$ and to get asymptotic expressions in all its qualitatively different domains. This surface becomes in particular non-trivial at low temperatures, where it is trough-shaped with . In this region, close to the quantum phase transition, $\delta {\sigma }_{xx}^{(\mathrm{tot})}(T,H=\mathrm{const})$ is non-monotonic, in agreement with experimental findings. We reanalyzed and present comparisons to several experimental measurements. Based on our results we derive a qualitative picture of superconducting fluctuations close to $H_{c2}(0)$ and T=0 where fluctuation Cooper pairs rotate with cyclotron frequency ${\omega }_c\sim {\Delta }_{\mathrm{BCS}}^{-1}$ and Larmor radius $\sim {\xi }_{\mathrm{BCS}}$, forming some kind of quantum liquid with long coherence length ${\xi }_{\mathrm{QF}}\gg {\xi }_{\mathrm{BCS}}$ and slow relaxation (${\tau }_{\mathrm{QF}}\gg \hslash {\Delta }_{\mathrm{BCS}}^{-1}$).

26 pages, 13 figures, 3 tables, RevTex 4.1

References in corpus (4)

• High Field Studies of Superconducting Fluctuations in High-T_c Cuprates: Evidence for a Small Gap distinct from the Large Pseudogap
• Giant Nernst Effect due to Fluctuating Cooper Pairs in Superconductors
• Quantum Fluctuations and Dynamic Clustering of Fluctuating Cooper Pairs
• Fluctuation spectroscopy of granularity in superconducting structures

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