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Ginzburg-Landau theory for the time-dependent phase field in a two-dimensional d-wave superconductor

Sergei G. Sharapov·Hans Beck·Vadim M. Loktev
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Abstract

We derive a finite temperature time-dependent effective theory for the phase $θ$ of the pairing field, which is appropriate for a 2D conducting electron system with non-retarded d-wave attraction. As for s-wave pairing the effective action contains terms with Landau damping, but their structure appears to be different from the s-wave case due to the fact that the Landau damping is determined by the quasiparticle group velocity $v_g$, which for the d-wave pairing does not have the same direction as the non-interacting Fermi velocity $v_F$. We show that for the d-wave pairing the Landau terms have a linear low temperature dependence and in contrast to the s-wave case are important for all finite temperatures.

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Sergei G. Sharapov, Hans Beck, Vadim M. Loktev. 2001-01-23. Ginzburg-Landau theory for the time-dependent phase field in a two-dimensional d-wave superconductor. https://doi.org/10.1016/s0921-4534(01)00816-4

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