Finite-temperature time-dependent effective theory for the phase field in two-dimensional d-wave neutral superconductors

S. G. Sharapov; H. Beck; V. M. Loktev

doi:10.1103/PhysRevB.64.134519

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Finite-temperature time-dependent effective theory for the phase field in two-dimensional d-wave neutral superconductors

S. G. Sharapov, H. Beck, V. M. Loktev

DOI 10.1103/PhysRevB.64.134519 · Physical Review B

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Abstract

We derive finite-temperature time-dependent effective actions for the phase of the pairing field, which are appropriate for a two-dimensional electron system with both nonretarded d- and s-wave attraction. As for s-wave pairing, the d-wave 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 vg, which for d-wave pairing does not have the same direction as the noninteracting Fermi velocity vF. we show that for d-wave pairing the Landau term has a linear low-temperature dependence and in contrast to the s-wave case is important for all finite temperatures. A possible experimental observation of the phase excitations is discussed.