Relativistic Ginzburg-Landau equation: An investigation for overdoped cuprate films
arXiv:2008.11000 · doi:10.1016/j.physleta.2020.126636
Abstract
By introducing the imaginary time, Gor'kov's Ginzburg-Landau equation at zero temperature can be extended to an exact relativistic form without any phenomenological parameter, which is intended to describe the zero-temperature overdoped cuprate. By using such a relativistic equation, we have shown that the two-class scaling observed in the overdoped side of single-crystal (LSCO) films [Nature 536, 309-311 (2016)] can be derived exactly. In this paper, we further test the validity of the relativistic Ginzburg-Landau equation. By applying the perturbation method into this equation, we theoretically predict that near the superconductor-metal transition point in the overdoped side of LSCO films, the zero-temperature correlation length and the transition temperature should yield a novel scaling with a critical exponent (up to the two-loop approximation). Here, we propose a diffraction experiment between -rays and zero-temperature LSCO films to measure the critical exponent .
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