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Microwave spectra of d-wave superconductors

Physical Review B - Condensed Matter and Materials Physics, ISSN: 1550-235X, Vol: 60, Issue: 17, Page: 12432-12442
1999
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A theory of the anomalous microwave conductivity and surface resistance of high-temperature superconductors is developed for a nested Fermi surface. The damping (Formula presented) is derived for electron collisions across nearly parallel orbit segments. Above the superconducting temperature (Formula presented) is linear in frequency (Formula presented) and temperature T, in accord with the anomalous non-Drude conductivity which differentiates high-(Formula presented) 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 (Formula presented) drops so dramatically when the temperature is a few degrees below (Formula presented) K. Numerical calculations of the infrared conductivity, reflectivity, microwave (Formula presented) and penetration depth are presented, and comply with the YBCO experimental data if the gap has a large maximum value (Formula presented) The cuprate spectral shapes differ notably from conventional BCS theory. © 1999 The American Physical Society.

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