论文标题
抛物线层中的抛物线缩放：一种统计田间理论方法
Parabolic Scaling in Overdoped Cuprate: a Statistical Field Theory Approach
论文作者
论文摘要
最近，Bozovic等人。报道说[自然536，309-311（2016）]，在单晶$ la_ {2-x} sr_xcuo_4 $（lsco）胶片中，过渡温度$ t_c $和零元素的超级流体相位僵硬$ρ_S（0） \sqrt{ρ_s(0)}$ for $T_c \leq T_Q$ and $T_c \propto ρ_s(0)$ for $T_c \geq T_M$, where $γ=(4.2 \pm 0.5) K^{1/2} $, $T_Q \approx 15 K$, and $T_M \approx 12 K$.他们进一步指出，在高度超过的侧观察到的抛物线缩放表明，量子相位从超导体到正常金属的量子相变。在本文中，我们为零温度库珀对提出了一个量子分区函数（QPF），通过该函数，可以有效地区分均值场和量子关键行为。从理论上讲，我们可以通过使用QPF来精确地得出两类规模定律，并且$γ$，$ t_q $和$ t_m $的理论值与实验度量值相符。我们的分析表明，线性缩放$ t_c \ proptoρ_s（0）$是平均场行为，而抛物线缩放$ t_c =γ\ cdot \ cdot \ sqrt {ρ_S（0）} $是量子关键行为。
Recently, Bozovic et al. reported that [Nature 536, 309-311 (2016)], in the overdoped side of the single-crystal $La_{2-x}Sr_xCuO_4$ (LSCO) films, the transition temperature $T_c$ and zero-temperature superfluid phase stiffness $ρ_s(0)$ will obey a two-class scaling law: $T_c=γ\cdot \sqrt{ρ_s(0)}$ for $T_c \leq T_Q$ and $T_c \propto ρ_s(0)$ for $T_c \geq T_M$, where $γ=(4.2 \pm 0.5) K^{1/2} $, $T_Q \approx 15 K$, and $T_M \approx 12 K$. They further pointed out that the parabolic scaling observed in the highly overdoped side indicates a quantum phase transition from a superconductor to a normal metal. In this paper, we propose a quantum partition function (QPF) for zero-temperature Cooper pairs, by which one can effectively distinguish between mean-field and quantum critical behaviors. We theoretically show that the two-class scaling law can be exactly derived by using the QPF, and the theoretical values of $γ$, $T_Q$, and $T_M$ are well in accordance with experimental measure values. Our analyses indicate that the linear scaling $T_c \propto ρ_s(0)$ is a mean-field behavior, while the parabolic scaling $T_c=γ\cdot \sqrt{ρ_s(0)}$ is a quantum critical behavior.
