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Microwave spectra of d-wave superconductors

C. T. Rieck, K. Scharnberg, J. Ruvalds

DOI 10.1103/PhysRevB.60.12432 · Physical Review B

T1

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Abstract

A theory of the anomalous microwave conductivity and surface resistance of high-temperature superconductors is developed for a nested Fermi surface. The damping Γ is derived for electron collisions across nearly parallel orbit segments. Above the superconducting temperature Γ(ω,T) is linear in frequency ω and temperature T, in accord with the anomalous non-Drude conductivity which differentiates high-Tc cuprates from conventional metals. In the superconducting state a d-wave energy gap suppresses the damping—by reducing available scattering states—and thus explains why the YBCO microwave surface resistance Rs drops so dramatically when the temperature is a few degrees below Tc=90 K. Numerical calculations of the infrared conductivity, reflectivity, microwave Rs, and penetration depth are presented, and comply with the YBCO experimental data if the gap has a large maximum value Δdm≃4Tc. The cuprate spectral shapes differ notably from conventional BCS theory.

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FormulaReported Tc (K)Pressure (GPa)Type
YBa2Cu3O6.5

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—Pressure not reportedunknown

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