Superconductor-to-Metal Quantum Phase Transition in Overdoped $L{a}_{2-x}S{r}_{x}Cu{O}_4$

Abstract

We investigate $T_c$ and magnetic penetration depth $\lambda (T)$ near the superconductor-metal quantum phase transition in overdoped $L{a}_{2-x}S{r}_{x}Cu{O}_4$ films. Both $T_c$ and superfluid density $n_s$, $\propto {\lambda }^{-2}$, decrease with overdoping. They obey the scaling relation $T_c\propto [{\lambda }^{-2}(0){]}^{\alpha }$ with $\alpha \approx 1/2$. We discuss this result in the frameworks of disordered d-wave superconductors and of scaling near quantum critical points. Our result, and the linear scaling ($\alpha \approx 1$) found for the more anisotropic $T{l}_{2}B{a}_{2}Cu{O}_{6+\delta }$, can both be understood in terms of quantum critical scaling, with different dimensionalities for fluctuations.

Letter length. 1 Table, 5 Figures

References in corpus (5)

• The ground state of heavily-overdoped non-superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$
• Quantum critical behaviour in the superfluid density of strongly underdoped ultrathin cuprate films
• Criticality in correlated quantum matter
• 4D-XY quantum criticality in a doped Mott insulator
• Anomalously Sharp Superconducting Transitions in Overdoped $L{a}_{2-x}S{r}_{x}Cu{O}_4$ Films

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