Abstract

There is now compelling evidence that the normal state of superconducting overdoped cuprates is a strange metal comprising two distinct charge sectors, one governed by coherent quasiparticle excitations, the other seemingly incoherent and characterized by non-quasiparticle (Planckian) dissipation. The zero-temperature superfluid density n_s(0)ns(0) of overdoped cuprates exhibits an anomalous depletion with increased hole doping pp, falling to zero at the edge of the superconducting dome. Over the same doping range, the effective zero-temperature Hall number n_{\rm H}(0) transitions from pp to 1 + pp. By taking into account the presence of these two charge sectors, we demonstrate that in the overdoped cuprates Tl_22Ba_22CuO_{6+\delta}6+δ and La_{2-x}2−xSr_xxCuO_44, the growth in n_s(0)ns(0) as pp is decreased from the overdoped side may be compensated by the loss of carriers in the coherent sector. Such a correspondence is contrary to expectations from conventional BCS theory and implies that superconductivity in overdoped cuprates emerges uniquely from the sector that exhibits incoherent transport in the normal state.

Highlights

  • Given the presence of these two sectors, it is pertinent to pose the question: which sector is responsible for superconductivity? Here we show, with a minimal set of assumptions, that with decreasing doping, the superfluid density at 0 K (ns(0)) in Tl2201 and La2−x Srx CuO4 (LSCO) grows at the expense of the coherent carrier density

  • Our analysis reveals that the existing experimental data can be reconciled with a scenario in which these coherent and incoherent carriers are located on distinct regions of the underlying Fermi surface

  • Based on the assumption that the conductivities of these two sectors add in parallel, we have shown that in Tl2Ba2CuO6+δ, the growth of the superfluid density ns(0) with decreasing doping p is quantitatively compensated with the decrease in the coherent carrier density ncoh and that their sum is approximately equal to the full Luttinger count 1 + p

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Summary

Introduction

As in many other unconventional superconductors, the transition temperature Tc of high-Tc cuprates traces out a dome in their phase diagram. This doping-independent value for m∗ matches that obtained from quantum oscillation (QO) experiments on single crystals with Tc = 10 K and 27 K [37] as well as the normal state electronic specific heat coefficient γN for 0 K ≤ Tc ≤ 80 K [28]. The black dashed line ns(0)/(1 + p), (0)/ N n

Tl2201
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