Effects of an electronic topological transition for anisotropic low-dimensional superconductors
G. G. N. Angilella, E. Piegari, A. A. Varlamov
DOI 10.1103/PhysRevB.66.014501 · Physical Review B
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Abstract
We study the superconducting properties of a two-dimensional superconductor in the proximity to an electronic topological transition (ETT). In contrast to the three-dimensional (3D) case, we find that the superconducting gap at T=0, the critical temperature Tc, and the impurity scattering rate are characterized by a nonmonotonic behavior, with maxima occurring close to the ETT. We derive analytical expressions for the value of such maxima both in the s-wave and in the d-wave cases. Such expressions are in good qualitative agreement with the phenomenological trend recently observed for Tcmax as a function of the hopping ratio t′/t across several cuprate compounds. We further analyze the effect of an ETT on the Ginzburg-Landau stiffness η. Instead of vanishing at the ETT, as could be expected, thus giving rise to an increase of the fluctuation effects, in the case of momentum-independent electron-electron interaction, we find η≠0, as a result of an integration over the whole Fermi surface.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| Sr2RuO4 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
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