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Superfluid Density of Strongly Underdoped Cuprate Superconductors from a Four-Dimensional XY Model

M. Franz, A. P. Iyengar

DOI 10.1103/PhysRevLett.96.047007 · Physical Review Letters

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Abstract

A new phenomenology is proposed for the superfluid density ρs of strongly underdoped cuprate superconductors based on recent data for ultraclean single crystals of YBa2Cu3O7−x. We show that the puzzling departure from Uemura scaling and the decline of the slope as the Tc=0 quantum critical point is approached can be understood in terms of the renormalization of quasiparticle effective charge by quantum fluctuations of the superconducting phase. We then employ a (3+1)-dimensional XY model to calculate, within particular approximations, the renormalization of ρs and its slope, explain the new phenomenology, and predict its eventual demise close to the quantum critical point.

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FormulaReported Tc (K)Pressure (GPa)Type
YBa2Cu3O7-x

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93Pressure not reportedonset

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