Universal scaling relation in high-temperature superconductors

Abstract

Scaling laws express a systematic and universal simplicity among complex systems in nature. For example, such laws are of enormous significance in biology. Scaling relations are also important in the physical sciences. The seminal 1986 discovery of high transition-temperature (high-T_c) superconductivity in cuprate materials has sparked an intensive investigation of these and related complex oxides, yet the mechanism for superconductivity is still not agreed upon. In addition, no universal scaling law involving such fundamental properties as T_c and the superfluid density ρ_s, a quantity indicative of the number of charge carriers in the superconducting state, has been discovered. Here we demonstrate that the scaling relation ρ_s \propto σ_{dc} T_c, where the conductivity σ_{dc} characterizes the unidirectional, constant flow of electric charge carriers just above T_c, universally holds for a wide variety of materials and doping levels. This surprising unifying observation is likely to have important consequences for theories of high-T_c superconductivity.

11 pages, 2 figures, 2 tables

References in corpus (8)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Effect of chemical inhomogeneity in the bismuth-based copper oxide superconductors
• ARPES Study of the Superconducting Gap Anisotropy in Bi_2Sr_2CaCu_2O_8+x
• Electron Dynamics in Nd${}_{1.85}$Ce${}_{.15}$CuO${}_{4+\delta }$: Evidence for the Pseudogap State and Unconventional c-axis Response
• Global trends in the interplane penetration depth of layered superconductors
• Interplane Transport and Superfluid Density in Layered Superconductors
• Temperature Evolution of the Pseudogap State in the Infra-Red Response of Underdoped La_(2-x)Sr_xCuO_4
• Universal relationship between the penetration depth and the normal-state conductivity in YBaCuO

Cited by in corpus (151)

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• Universal Behavior and the Two-component Character of Magnetically Underdoped Cuprate Superconductors
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