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Kinetic Theory for Response and Transport in Non-centrosymmetric Superconductors

  • Ludwig Klam
  • Dirk Manske
  • Dietrich Einzel
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 847)

Abstract

We formulate a kinetic theory for non-centrosymmetric superconductors at low temperatures in the clean limit. The transport equations are solved quite generally in spin- and particle-hole (Nambu) space by performing first a transformation into the band basis and second a Bogoliubov transformation to the quasiparticle-quasihole phase space. Our result is a particle-hole-symmetric, gauge-invariant and charge conserving description, which is valid in the whole quasiclassical regime (\(|{\user2{q}}|\ll k_F\;\hbox{and}\;\hbar \omega \ll E_{\rm F}\)). We calculate the current response, the specific heat capacity, and the Raman response function. For the Raman case, we investigate within this framework the polarization dependence of the electronic (pair-breaking) Raman response for the recently discovered non-centrosymmetric superconductors at zero temperature. Possible applications include the systems CePt\(_3\)Si and Li\(_2\)Pd\(_x\)Pt\(_{3-x}\)B, which reflect the two important classes of the involved spin-orbit coupling. We provide analytical expressions for the Raman vertices for these two classes and calculate the polarization dependence of the electronic spectra. We predict a two-peak structure and different power laws with respect to the unknown relative magnitude of the singlet and triplet contributions to the superconducting order parameter, revealing a large variety of characteristic fingerprints of the underlying condensate.

Keywords

Specific Heat Capacity Vertex Function Bogoliubov Transformation Superfluid Density Band Basis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

We thank M. Sigrist for helpful discussions.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Max-Planck-Institut für FestkörperforschungStuttgartGermany
  2. 2.D. EinzelWalther-Meissner-Institut,Bayerische Akademie der WissenschaftenGarchingGermany

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