Physics – Condensed Matter – Superconductivity
Scientific paper
2002-04-11
Phys.Rev.B66:184502,2002
Physics
Condensed Matter
Superconductivity
31 pages 14 figs, revised version, to appear in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.66.184502
We present a field-theoretical method to obtain consistently the equations of motion for small amplitude fluctuations of the order parameter directly in real time for a homogeneous, neutral BCS superconductor. This method allows to study the nonequilibrium relaxation of the order parameter as an initial value problem. We obtain the Ward identities and the effective actions for small phase the amplitude fluctuations to one-loop order. Focusing on the long-wavelength, low-frequency limit near the critical point, we obtain the time-dependent Ginzburg-Landau effective action to one-loop order, which is nonlocal as a consequence of Landau damping. The nonequilibrium relaxation of the phase and amplitude fluctuations is studied directly in real time. The long-wavelength phase fluctuation (Bogoliubov-Anderson-Goldstone mode) is overdamped by Landau damping and the relaxation time scale diverges at the critical point, revealing critical slowing down.
Alamoudi Saeed M.
Boyanovsky Daniel
Wang Shang-Yung
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