We use thermal conductivity to study a unique state in the high field corner of the superconducting phase of CeCoIn₅. The spin-density-wave (SDW) magnetic order in this high field low temperature (HFLT) phase requires superconductivity for its very existence, and both magnetism and superconductivity disappear together at superconducting critical field H $_{c 2}$ . We measured thermal conductivity of CeCoIn₅ in a rotating magnetic field to study the nature of the HFLT phase. Our measurements reveal the presence of an additional order inside the HFLT phase that is intimately intertwined with the superconducting $d$ -wave and the SDW orders, which we identify as a superconducting $p$ -wave pair-density-wave (PDW). CeCoIn₅ displays a hierarchy of interactions within the HFLT phase, where spin–orbit coupling orients the SDW, which then determines orientation of the secondary PDW component.

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References

1. J. Bardeen, L. N. Cooper and J. R. Schrieffer, Phys. Rev. 106, 162 (1957). Crossref, Web of Science, ADS, Google Scholar
2. N. R. Werthamer, E. Helfand and P. C. Hohenberg, Phys. Rev. 147, 295 (1966). Crossref, Web of Science, ADS, Google Scholar
3. A. M. Clogston, Phys. Rev. Lett. 9, 266 (1962). Crossref, Web of Science, ADS, Google Scholar
4. B. Lake et al., Nature 415, 299 (2002). Crossref, Web of Science, ADS, Google Scholar
5. P. Cai et al., Nat. Commun. 4, 1596 (2013). Crossref, Web of Science, ADS, Google Scholar
6. A. Bianchi et al., Phys. Rev. Lett. 89, 137002 (2002). Crossref, Web of Science, ADS, Google Scholar
7. A. Bianchi et al., Phys. Rev. Lett. 91, 187004 (2003). Crossref, Web of Science, ADS, Google Scholar
8. H. A. Radovan et al., Nature 425, 51 (2003). Crossref, Web of Science, ADS, Google Scholar
9. P. Fulde and R. A. Ferrell, Phys. Rev. 135, A550 (1964). Crossref, Web of Science, ADS, Google Scholar
10. A. I. Larkin and Y. N. Ovchinnikov, Sov. Phys. JETP 20, 762 (1965). Google Scholar
11. B.-L. Young et al., Phys. Rev. Lett. 98, 36402 (2007). Crossref, Web of Science, ADS, Google Scholar
12. M. Kenzelmann et al., Phys. Rev. Lett. 104, 127001 (2010). Crossref, Web of Science, ADS, Google Scholar
13. M. Kenzelmann et al., Science 321, 1652 (2008). Crossref, Web of Science, ADS, Google Scholar
14. D. F. Agterberg, M. Sigrist and H. Tsunetsugu, Phys. Rev. Lett. 102, 207004 (2009). Crossref, Web of Science, ADS, Google Scholar
15. A. Aperis, G. Varelogiannis and P. B. Littlewood, Phys. Rev. Lett. 104, 216403 (2010). Crossref, Web of Science, ADS, Google Scholar
16. Y. Yanase and M. Sigrist, J. Phys. Soc. Japan 78, 114715 (2009). Crossref, ADS, Google Scholar
17. Y. Yanase and M. Sigrist, J. Phys. Condens. Matter 23, 94219 (2011). Crossref, Web of Science, Google Scholar
18. V. P. Michal and V. P. Mineev, Phys. Rev. B 84, 52508 (2011). Crossref, Web of Science, ADS, Google Scholar
19. Y. Hatakeyama and R. Ikeda, Phys. Rev. B 83, 224518 (2011). Crossref, Web of Science, ADS, Google Scholar
20. B. B. Zhou et al., Nat. Phys. 9, 474 (2013). Crossref, Web of Science, Google Scholar
21. E. Fradkin, S. A. Kivelson and J. M. Tranquada, Rev. Mod. Phys. 87, 457 (2015). Crossref, Web of Science, ADS, Google Scholar
22. M. H. Hamidian et al., Nature 532, 343 (2016). Crossref, Web of Science, ADS, Google Scholar
23. C. Stock et al., Phys. Rev. Lett. 100, 87001 (2008). Crossref, Web of Science, ADS, Google Scholar
24. S. Raymond and G. Lapertot, Phys. Rev. Lett. 115, 37001 (2015). Crossref, Web of Science, ADS, Google Scholar
25. S. Gerber et al., Nat. Phys. 10, 126 (2014). Crossref, Web of Science, Google Scholar
26. V. P. Mineev, arXiv:1509.04915. Google Scholar
27. Y. Hatakeyama and R. Ikeda, Phys. Rev. B 91, 94504 (2015). Crossref, Web of Science, ADS, Google Scholar
28. Y. Matsuda, K. Izawa and I. Vekhter, J. Phys. Condens. Matter 18, R705 (2006). Crossref, Web of Science, Google Scholar
29. H. Shakeripour, C. Petrovic and L. Taillefer, New J. Phys. 11, 55065 (2009). Crossref, Web of Science, Google Scholar
30. S. Kruchinin, H. Nagao and S. Aono, Modern Aspect of Superconductivity: Theory of Superconductivity (World Scientific, 2010), p. 232. Link, Google Scholar
31. S. P. Kruchinin and S. K. Patapis, J. Low Tem. Phys. 105, 717 (1996). Crossref, Web of Science, ADS, Google Scholar
32. S. Kruchinin et al., Int. J. Mod. Phys. B 30(13), 1042020 (2016). ADS, Google Scholar
33. G. Koutroulakis et al., Phys. Rev. Lett. 104, 87001 (2010). Crossref, Web of Science, ADS, Google Scholar
34. L. A. Yeoh et al., Rev. Sci. Instrum. 81, (2010). Crossref, Web of Science, Google Scholar
35. B. E. Feldman et al., Bull. Am. hys. Soc. (2016), http://meetings.aps.org/link/ BAPS.2016.MAR.E27.10. Google Scholar
36. P. Das et al., Phys. Rev. Lett. 108, 87002 (2012). Crossref, Web of Science, ADS, Google Scholar
37. D. Y. Kim et al., Phys. Rev. B 95, 241110(R) (2017). Crossref, Web of Science, ADS, Google Scholar
38. K. Hosoya and R. Ikeda, arXiv:1704.05002 (n.d.). Google Scholar
39. D. Y. Kim et al., Phys. Rev. X 6, 041059 (2016). Web of Science, Google Scholar
40. M. Kenzelmann et al., Phys. Rev. Lett. 104, 127001 (2010). Crossref, Web of Science, ADS, Google Scholar