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Full t-matrix approach to quasiparticle interference in non-centrosymmetric superconductors

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Abstract

We develop the full t-matrix theory of quasiparticle interference (QPI) for non-centrosymmetric (NCS) superconductors with Rashba spin-orbit coupling. We give a closed solution for the QPI spectrum for arbitrary combination and strength of nonmagnetic (V c ) and magnetic (V m ) impurity scattering potentials in terms of integrated normal and anomalous Green’s functions. The theory is applied to a realistic 2D model of the Ce-based 131-type heavy fermion superconductors. We discuss the QPI dependence on frequency, composition and strength of scattering and compare with Born approximation results. We show that the QPI pattern is remarkably stable against changes in the scattering model and can therefore give reliable information on the properties of Rashba-split Fermi surface sheets and in particular on the accidental nodal position of the mixed singlet-triplet gap function in NCS superconductors.

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References

  1. A. Damascelli, Z. Hussain, Z.X. Shen, Rev. Mod. Phys. 75, 473 (2003)

    Article  ADS  Google Scholar 

  2. K. Okazaki et al., Science 337, 1314 (2012)

    Article  ADS  Google Scholar 

  3. Y. Matsuda, K. Izawa, I. Vekhter, J. Phys.: Condens. Matter 18, R705 (2006)

    ADS  Google Scholar 

  4. K. McElroy, R.W. Simmonds, J.E. Hoffman, D.H. Lee, J. Orenstein, H. Eisaki, S. Uchida, J.C. Davis, Nature 422, 592 (2003)

    Article  ADS  Google Scholar 

  5. T. Hanaguri, Y. Kohsaka, M. Ono, M. Maltseva, P. Coleman, I. Yamada, M. Azuma, M. Takano, K. Ohishi, H. Takagi, Science 323, 923 (2009)

    Article  ADS  Google Scholar 

  6. T. Hanaguri, S. Niitaka, K. Kuroki, H. Takagi, Science 328, 474 (2010)

    Article  ADS  Google Scholar 

  7. M.P. Allan, A.W. Rost, A.P. Mackenzie, Y. Xie, J.C. Davis, K. Kihou, C.H. Lee, A. Iyo, H. Eisaki, T.M. Chuang, Science 336, 563 (2012)

    Article  ADS  Google Scholar 

  8. J.M. Byers, M.E. Flatté, D.J. Scalapino, Phys. Rev. Lett. 71, 3363 (1993)

    Article  ADS  Google Scholar 

  9. L. Capriotti, D.J. Scalapino, R.D. Sedgewick, Phys. Rev. B 68, 014508 (2003)

    Article  ADS  Google Scholar 

  10. T. Pereg-Barnea, M. Franz, Phys. Rev. B 68, 180506 (2003)

    Article  ADS  Google Scholar 

  11. Q.H. Wang, D.H. Lee, Phys. Rev. B 67, 020511 (2003)

    Article  ADS  Google Scholar 

  12. L. Zhu, W.A. Atkinson, P.J. Hirschfeld, Phys. Rev. B 69, 060503(R) (2004)

    Article  ADS  Google Scholar 

  13. T.S. Nunner, W. Chen, B.M. Andersen, A. Melikyan, P.J. Hirschfeld, Phys. Rev. B 73, 104511 (2006)

    Article  ADS  Google Scholar 

  14. M. Maltseva, P. Coleman, Phys. Rev. B 80, 144514 (2009)

    Article  ADS  Google Scholar 

  15. B.M. Andersen, P.J. Hirschfeld, Phys. Rev. B 79, 144515 (2009)

    Article  ADS  Google Scholar 

  16. A. Akbari, J. Knolle, I. Eremin, R. Moessner, Phys. Rev. B 82, 224506 (2010)

    Article  ADS  Google Scholar 

  17. J. Knolle, I. Eremin, A. Akbari, R. Moessner, Phys. Rev. Lett. 104, 257001 (2010)

    Article  ADS  Google Scholar 

  18. H. Huang, Y. Gao, D. Zhang, C.S. Ting, Phys. Rev. B 84, 134507 (2011)

    Article  ADS  Google Scholar 

  19. A. Akbari, P. Thalmeier, I. Eremin, Phys. Rev. B 84, 134505 (2011)

    Article  ADS  Google Scholar 

  20. M.P. Allan, F. Massee, D.K. Morr, J. van Dyke, A. Rost, A.P. Mackenzie, C. Petrovic, J.C. Davis, Nat. Phys. 9, 468 (2013)

    Article  Google Scholar 

  21. B.B. Zhou, S. Misra, E.H. da Silva Neto, P. Aynajian, R.E. Baumbach, J.D. Thompson, E.D. Bauer, A. Yazdani, Nat. Phys. 9, 474 (2013)

    Article  Google Scholar 

  22. P. Aynajian, E.H. da Silva Neto, C.V. Parker, Y.K. Huang, A. Pasupathy, J.A. Mydosh, A. Yazdani, Proc. Natl. Acad. USA 107, 10383 (2010)

    Article  ADS  Google Scholar 

  23. A.R. Schmidt, M.H. Hamidian, P. Wahl, F. Meier, A.V. Balatsky, J.D. Garrett, T.J. Williams, G.M. Luke, J.C. Davis, Nature 465, 570 (2010)

    Article  ADS  Google Scholar 

  24. T. Yuan, J. Figgins, D.K. Morr, Phys. Rev. B 86, 035129 (2012)

    Article  ADS  Google Scholar 

  25. R. Settai, T. Takeuchi, Y. Onuki, J. Phys. Soc. Jpn 76, 051003 (2007)

    Article  ADS  Google Scholar 

  26. E. Bauer, H. Kaldarar, A. Prokofiev, E. Royanian, A. Amato, J. Sereni, W. Brämer-Escamilla, I. Bonalde, J. Phys. Soc. Jpn 76, 051009 (2007)

    Article  ADS  Google Scholar 

  27. N. Kimura, Y. Muro, H. Aoki, J. Phys. Soc. Jpn 76, 051010 (2007)

    Article  ADS  Google Scholar 

  28. A. Akbari, P. Thalmeier, Europhys. Lett. 102, 57008 (2013)

    Article  ADS  Google Scholar 

  29. P.A. Frigeri, D.F. Agterberg, I. Milat, M. Sigrist, Eur. Phys. J. B 54, 435 (2006)

    Article  ADS  Google Scholar 

  30. I. Eremin, J.F. Annett, Phys. Rev. B 74, 184524 (2006)

    Article  ADS  Google Scholar 

  31. S. Fujimoto, J. Phys. Soc. Jpn 76, 051008 (2007)

    Article  ADS  Google Scholar 

  32. K.V. Samokhin, E.S. Zijlstra, S.K. Bose, Phys. Rev. B 69, 094514 (2004)

    Article  ADS  Google Scholar 

  33. M. Sigrist, Introduction to Unconventional Superconductivity in Non-centrosymmetric Superconductors (American Institute of Physics, 2009), Chap. CP1162, pp. 55–97

  34. T. Takimoto, J. Phys. Soc. Jpn 77, 113706 (2008)

    Article  ADS  Google Scholar 

  35. T. Takimoto, P. Thalmeier, J. Phys. Soc. Jpn 78, 103703 (2009)

    Article  ADS  Google Scholar 

  36. Y. Yanase, M. Sigrist, J. Phys. Soc. Jpn 77, 124711 (2008)

    Article  ADS  Google Scholar 

  37. K. Izawa, Y. Kasahara, Y. Matsuda, K. Behnia, T. Yasuda, R. Settai, Y. Onuki, Phys. Rev. Lett. 94, 197002 (2005)

    Article  ADS  Google Scholar 

  38. M. Sigrist, M.E. Zhitomirsky, J. Phys. Soc. Jpn 65, 3452 (1996)

    Article  ADS  Google Scholar 

  39. V.P. Mineev, K.V. Samokhin, Introduction to Unconventional Superconductivity in Non-centrosymmetric Superconductors (Gordon and Breach, London, 1999)

  40. K. Maki, Superconductivity (Marcel Dekker, New York, 1969), Vol. 2, Chap. 18, p. 1035

  41. B. Liu, I. Eremin, Phys. Rev. B 78, 014518 (2008)

    Article  ADS  Google Scholar 

  42. A. Akbari, I. Eremin, P. Thalmeier, Phys. Rev. B 81, 014524 (2010)

    Article  ADS  Google Scholar 

  43. H.Q. Yuan, D.F. Agterberg, N. Hayashi, P. Badica, D. Vandervelde, K. Togano, M. Sigrist, M.B. Salamon, Phys. Rev. Lett. 97, 017006 (2006)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Max Planck Institute for Chemical Physics of Solids, 01187, Dresden, Germany

    Alireza Akbari & Peter Thalmeier

  2. Max Planck Institute for Solid State Research, 70569, Stuttgart, Germany

    Alireza Akbari

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  1. Alireza Akbari
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  2. Peter Thalmeier
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Correspondence to Alireza Akbari.

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Akbari, A., Thalmeier, P. Full t-matrix approach to quasiparticle interference in non-centrosymmetric superconductors. Eur. Phys. J. B 86, 495 (2013). https://doi.org/10.1140/epjb/e2013-40859-6

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