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Microwave Conductivity of a High Purity d-wave Superconductor

Wonkee Kim·F. Marsiglio·J. P. Carbotte
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Abstract

The cusp-like behavior of the microwave conductivity observed in clean ortho-II YB$_{2}$Cu$_{3}$O$_{6.50}$ at low temperature and low frequency is shown to be related directly to a linear in frequency dependence of the impurity scattering rate with a negligibly small value at zero frequency. In the weak scattering limit, the conductivity decreases linearly with the frequency. In the vortex state, assuming a random (Gaussian) distribution of vortices, we show that the magnetic field profoundly alters the impurity scattering rate, which now acquires a finite zero frequency value. As a consequence, we predict a Drude-like line shape in the microwave conductivity at low frequency.

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Wonkee Kim, F. Marsiglio, J. P. Carbotte. 2004-03-30. Microwave Conductivity of a High Purity d-wave Superconductor. https://doi.org/10.1103/physrevb.70.060505

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