有哪些信誉好的足球投注网站Competition between anisotropy and superconductivity in organic and cuprate superconductors.pdf
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Competition between anisotropy and superconductivity in organic and cuprate superconductors
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Competition between anisotropy and superconductivity in organic and cuprate
superconductors
T. Schneider
Physik-Institut der Universita?t Zu?rich, Winterthurerstrasse 190,
CH-8057 Zu?rich, Switzerland
We analyze the empirical correlation between the zero temperature penetration depth λc (0) and
the corresponding normal state DC conductivity σDCc , measured slightly above the transition tem-
perature Tc, in different classes of quasi two-dimensional superconductors, including cuprates and
organics. For this purpose we invoke the scaling theory of quantum and finite temperature critical
phenomena. Important implications are: Superconductivity in the organic and cuprate supercon-
ductors is a genuine three dimensional (3D) phenomenon. The competition between anisotropy and
superconductivity destroys the latter in the 2D limit even in the ground state. The data uncovers
the flow to quantum criticality, including the 2D quantum superconductor to insulator (2D-QSI)
and the 3D quantum superconductor to normal state (3D-QSN) transition. This flow gives a clear
perspective of the regimes where quantum fluctuations are essential and mean-field treatments fail.
Thus, a detailed account of the flow from mean-field to 2D-QSI criticality in organics and the
crossover from the 2D-QSI to the 3D-QSN critical point in cuprates is a challenge for microscopic
theories attempting to solve the puzzle of superconductivity in these materials.
The formation of the superconducting condensate in elemental metals and their alloys is well understood within
the BCS-Eliashberg mean-field theory of superconductivity. Here pairing and phase coherence (superfluidity) set
in at the same temperature. Applicability to highly anisotropic quasi-two-dimensional superconductors, including
organic and cuprate superconductors is challenged by the evidence for strong thermal and quantum fluctuations
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