Effective Lagrangians for BCS superconductors at T=0.

  title={Effective Lagrangians for BCS superconductors at T=0.},
  author={Aitchison and {\^u} {\'A}{\`o} and Thouless and H Zhu},
  journal={Physical review. B, Condensed matter},
  volume={51 10},
We show that the low frequency, long wavelength dynamics of the phase of the pair field for a BCS-type s-wave superconductor at T=0 is equivalent to that of a time-dependent non-linear Schrödinger Lagrangian (TDNLSL), when terms required by Galilean invariance are included. If the modulus of the pair field is also allowed to vary, the system is equivalent to two coupled TDNLSL’s. PACS#s:74.20.-z, 67.50.Fi CERN-TH.7385/94 November 1994 (revised) † Permanent address: Physics Department… CONTINUE READING

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