Optical symmetries and anisotropic transport in high-Tc superconductors

Abstract

A simple symmetry analysis of in-plane and out-of-plane transport in a family of high-temperature superconductors is presented. It is shown that generalized scaling relations exist between the low-frequency electronic Raman response and the low-frequency in-plane and out-of-plane conductivities in both normal and superconducting states of the cuprates. Specifically, for both normal and superconducting states, the temperature dependence of the low-frequency B1g Raman slope scales with the c-axis conductivity, while the B2g Raman slope scales with the in-plane conductivity. Comparison with experiments in the normal states of Bi-2212 and Y-123 implies that the nodal transport is largely doping independent and metallic, while transport near the Brillouin Zone axes is governed by a quantum critical point near doping p∼0.22 holes per CuO2 plaquette. Important differences for La-214 are discussed. It is also shown that the c-axis conductivity rise for T≪Tc is a consequence of partial conservation of in-plane momentum for out-of-plane transport.

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