论文标题
相对论的金茨堡 - 兰道等式：对越野薄膜的调查
Relativistic Ginzburg-Landau equation: An investigation for overdoped cuprate films
论文作者
论文摘要
通过引入假想的时间，Gor'kov在零温度下的Ginzburg-Landau方程可以扩展到确切的相对论形式，而无需任何现象学参数，这旨在描述零气温过高的蛋糕。通过使用这种相对论方程，我们表明在单晶$ la_ {2-x} sr_xcuo_4 $（lsco）膜[自然536，309-311（2016）]中观察到的两类缩放比例。在本文中，我们进一步测试了相对论的金茨堡 - 兰道方程的有效性。通过将扰动方法应用到该方程式中，我们从理论上预测，在LSCO膜过多的一侧的超导体金属过渡点附近，零温度相关长度$ξ（0）$和过渡温度$ t_c $应产生一个新颖的缩放$ propto $ propto $ propto $ popto $ perstto $ quortt $ quantt $ = $}。 $（达到两循环近似）。在这里，我们提出了$ x $ rays和零温度LSCO膜之间的衍射实验，以测量关键指数$σ$。
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 $La_{2-x}Sr_xCuO_4$ (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 $ξ(0)$ and the transition temperature $T_c$ should yield a novel scaling $ξ(0)\propto T_c^{-σ}$ with a critical exponent $σ\approx 1.31 $ (up to the two-loop approximation). Here, we propose a diffraction experiment between $X$-rays and zero-temperature LSCO films to measure the critical exponent $σ$.
