Parabolic Scaling in Overdoped Cuprate Films

Abstract

It was recently reported that, in the highly overdoped side of single-crystal $L{a}_{2-x}S{r}_{x}Cu{O}_4$ films, the transition temperature $T_c$ and zero-temperature superfluid phase stiffness ${\rho }_s(0)$ will obey a parabolic scaling $T_c=\gamma \cdot \sqrt{{\rho }_s(0)}$. Parabolic scaling indicates a quantum phase transition from a superconductor to a normal metal, for which there has been scant understanding [Nature 536, 309-311 (2016)]. The current study shows that, using the quantum critical model for zero-temperature Cooper pairs [EPL 118, 57007 (2017)], parabolic scaling can be exactly derived, where $\gamma =\gamma ({\epsilon }_F,a)$ is uniquely determined by the Fermi energy ${\epsilon }_F$ and the minimal lattice constant $a$ of superconducting materials. For single-crystal $L{a}_{2-x}S{r}_{x}Cu{O}_4$ films, we calculate the theoretical value of $\gamma$, which yields $4.29K^{1/2}$ and is in accordance with an experimental measure value $(4.2\pm 0.5)K^{1/2}$ with high accuracy. Our formula for $\gamma$ can be further tested by investigating other BCS-like materials.

11 pages, 1 figure, 1 table

References in corpus (3)

• Scaling of the superfluid density in high-temperature superconductors
• Thermodynamic properties of the Dynes superconductors
• BCS quantum critical phenomena

Cited by in corpus (3)

• Relativistic Ginzburg-Landau equation: An investigation for overdoped cuprate films
• Parabolic Scaling in Overdoped Cuprate: a Statistical Field Theory Approach
• Superconducting quantum criticality and the anomalous scaling: A nonlinear relativistic equation