Abstract
A superconducting pairing instability and iso- tope effect on the superconducting transition temperature Tc in the electronic system with instantonic condensate are derived analytically using previously proposed theory (Mukhin, J. Supercond. Nov. Magn. 22:75-80, 2009; J. Su- percond. Nov. Magn. 24:1165-1171, 2011) of the instan- tonic nature of the "hidden order" in high-Tc cuprates. The self-organized instantonic condensate breaks Matsub- ara "time" invariance of the Fermi-system, and occurs due to strongly nonlinear interaction between antiferromagnetic or charge density fluctuations. The Cooper-channel suscepti- bility (polarization loop) is calculated using a single-particle Green's function that we have derived recently (Mukhin and Galimzyanov, Physica B 407:1882-1884, 2012 )f or the Fermi-system with instantonic condensate. We found that superconducting Tc could be strongly enhanced and an iso- tope effect strongly suppressed in the presence of the instan- tonic condensate. The usual weak-coupling BCS results are recovered in the limit of vanishing the instantons. Relevance of the theoretical predictions for the high-Tc compounds is discussed.
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