A universal scaling relation in high-temperature superconductors

C. C. Homes (), S. V. Dordevic, M. Strongin, D. A. Bonn, Ruixing Liang, W. N. Hardy, Seiki Komiya, Yoichi Ando, G. Yu, N. Kaneko, X. Zhao, M. Greven, D. N. Basov and T. Timusk
Additional contact information
C. C. Homes: Brookhaven National Laboratory
S. V. Dordevic: Brookhaven National Laboratory
M. Strongin: Brookhaven National Laboratory
D. A. Bonn: University of British Columbia
Ruixing Liang: University of British Columbia
W. N. Hardy: University of British Columbia
Seiki Komiya: Central Research Institute of Electric Power Industry
Yoichi Ando: Central Research Institute of Electric Power Industry
G. Yu: Stanford University
N. Kaneko: Stanford Synchrotron Radiation Laboratory
X. Zhao: Stanford Synchrotron Radiation Laboratory
M. Greven: Stanford Synchrotron Radiation Laboratory
D. N. Basov: University of California at San Diego
T. Timusk: McMaster University

Nature, 2004, vol. 430, issue 6999, 539-541

Abstract: Abstract Since the discovery of superconductivity at elevated temperatures in the copper oxide materials1 there has been a considerable effort to find universal trends and correlations amongst physical quantities, as a clue to the origin of the superconductivity. One of the earliest patterns that emerged was the linear scaling of the superfluid density (ρs) with the superconducting transition temperature (Tc), which marks the onset of phase coherence. This is referred to as the Uemura relation2, and it works reasonably well for the underdoped materials. It does not, however, describe optimally doped (where Tc is a maximum) or overdoped materials3. Similarly, an attempt to scale the superfluid density with the d.c. conductivity (σdc) was only partially successful4. Here we report a simple scaling relation (ρs∝σdcTc, with σdc measured at approximately Tc) that holds for all tested high-Tc materials. It holds regardless of doping level, nature of dopant (electrons versus holes), crystal structure and type of disorder5, and direction (parallel or perpendicular to the copper–oxygen planes).

Date: 2004
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DOI: 10.1038/nature02673

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