Scaling of the superfluid density in high-temperature superconductors

C. C. Homes

doi:10.1117/12.617166

30 August 2005 Scaling of the superfluid density in high-temperature superconductors

C. C. Homes

Proceedings Volume 5932, Strongly Correlated Electron Materials: Physics and Nanoengineering; 59320M (2005) https://doi.org/10.1117/12.617166
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

Abstract

A scaling relation N_c or ρ_s ασ_dcΤ_c has been observed in the copper-oxide superconductors, where ρ_s is the superconducting condensate and the spectral weight is N_c=ρ_s/8, T_c is the critical temperature, and σ_dc is the normal-state dc conductivity close to T_c. This scaling relation is examined within the context of clean and dirty-limit BCS superconductors. It is shown that the scaling relation N_c ≃ 4.4σ_dcT_c, which follows directly from the Ferrell-Glover-Tinkham sum rule, is the hallmark of a BCS system in the dirty-limit. The scaling relation implies that the copper-oxide superconductors are likely to be in the dirty limit, and that as a result the energy scale associated with the formation of the condensate scales linearly with T_c. The a-b planes and the c axis also follow the same scaling relation. It is observed that the scaling behavior for the dirty limit and the Josephson effect (assuming a BCS formalism) are essentially identical, suggesting that in some regime these two pictures may be viewed as equivalent.

Citation Download Citation

C. C. Homes "Scaling of the superfluid density in high-temperature superconductors", Proc. SPIE 5932, Strongly Correlated Electron Materials: Physics and Nanoengineering, 59320M (30 August 2005); https://doi.org/10.1117/12.617166

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