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Anisotropic fully gapped superconductivity in quasi-one-dimensional Li0.9Mo6O17

M. J. Grant1, T. M. Huijbregts1, R. Nicholls1, M. Greenblatt2, P. Chudzinski3,4, A. Carrington1, and N. E. Hussey1,5

Phys. Rev. B 113, 094524 – Published 24 March, 2026

DOI: https://doi.org/10.1103/y4fj-8c2m

Abstract

Superconductivity in quasi-one-dimensional Li0.9Mo6O17 emerges from an exotic, nonmetallic normal state that exhibits signatures of Tomonaga-Luttinger liquid behavior, emergent symmetry, and excitonic order. The high upper critical field, Hc2, in Li0.9Mo6O17 suggests that that the favored pairing state is spin-triplet in nature. Here, we report measurements of the magnetic penetration depth down to 0.08K (T/Tc≲0.04) and the specific heat down to 0.4K (T/Tc≲0.2), and show that they are consistent with a moderately coupled, fully gapped superconducting state with marked gap anisotropy and a minimum (Δmin≃0.4kBTc) occurring over a very narrow region in k space. Combined with knowledge of Hc2, these measurements support the presence of a nodeless and possibly odd-parity spin-triplet superconducting order parameter in Li0.9Mo6O17.

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References (52)

  1. M. Dressel, Ordering phenomena in quasi-one-dimensional organic conductors, Naturwissenschaften 94, 527 (2007).
  2. T. Giamarchi, Quantum Physics in One-Dimension (Oxford University Press, Oxford, 2003).
  3. W. Zhang and C. A. R. Sá De Melo, Triplet versus singlet superconductivity in quasi-one-dimensional conductor, Adv. Phys. 56, 545 (2007).
  4. M. Kociak, A. Y. Kasumov, S. Guéron, S. Reulet, I. I. Khodos, Y. U. Gorbatov, V. T. Volkov, L. Vaccarini, and H. Bouchiat, Superconductivity in ropes of single-walled carbon nanotubes, Phys. Rev. Lett. 86, 2416 (2001).
  5. D. Jérome, A. Mazaud, M. Ribault, and K. Bechgaard, Superconductivity in a synthetic organic conductor (TMTSF)2PF6, J. Phyique Lett. 41, 95 (1980).
  6. G. M. Pang, M. Smidman, W. B. Jiang, J. K. Bao, Z. F. Weng, Y. F. Wang, L. Jiao, J. L. Zhang, G. H. Cao, and H. Q. Yuan, Evidence for nodal superconductivity in quasi-one-dimensional K2Cr3As3, Phys. Rev. B 91, 220502(R) (2015).
  7. J. Yang, J. Luo, C. Yi, Y. Shi, Y. Zhou, and G.-Z. Zheng, Spin-triplet superconductivity in K2Cr3As3, Sci. Adv. 7, eabl4432 (2021).
  8. M. D. Watson, Y. Feng, C. W. Nicholson, C. Monney, J. M. Riley, H. Iwasawa, K. Refson, V. Sacksteder, D. T. Adroja, J. Zhao, and M. Hoesch, Multiband one-dimensional electronic structure and spectroscopic signature of Tomonaga-Luttinger liquid behavior in K2Cr3As3, Phys. Rev. Lett. 118, 097002 (2017).
  9. J. K. Bao, J. Y. Liu, C. W. Ma, Z. H. Meng, Z. T. Tang, Y. L. Sun, H. F. Zhai, H. Jiang, H. Bai, C. M. Feng, Z. A. Xu, and G. H. Cao, Superconductivity in quasi-one-dimensional K2Cr3As3 with significant electron correlations, Phys. Rev. X 5, 011013 (2015).
  10. F. F. Balakirev, T. Kong, M. Jaime, R. D. McDonald, C. H. Mielke, A. Gurevich, P. C. Canfield, and S. L. Bud'ko, Anisotropy reversal of the upper critical field at low temperatures and spin-locked superconductivity in K2Cr3As3, Phys. Rev. B 91, 220505 (2015).
  11. Z. S. Popović and S. Satpathy, Density-functional study of the Luttinger liquid behavior of the lithium molybdenum purple bronze Li0.9Mo6O17, Phys. Rev. B 74, 045117 (2006).
  12. P. Chudzinski, Multi-orbital physics in lithium-molybdenum purple-bronze: Going beyond paradigm, Eur. Phys. J. B 90, 148 (2017).
  13. T. Podlich, M. Klinke, B. Nansseu, M. Waelsch, R. Bienert, J. He, R. Jin, D. Mandrus, and R. Matzdorf, Luttinger liquid behavior of Li0.9Mo6O17 studied by scanning tunneling microscopy, J. Phys.: Condens. Matter 25, 014008 (2013).
  14. J. D. Denlinger, G.-H. Gweon, J. W. Allen, C. G. Olson, J. Marcus, C. Schlenker, and L.-S. Hsu, Non-Fermi-liquid single particle line shape of the quasi-one-dimensional non-CDW metal Li0.9Mo6O17: Comparison to the Luttinger liquid, Phys. Rev. Lett. 82, 2540 (1999).
  15. J. Hager, R. Matzdorf, J. He, R. Jin, D. Mandrus, M. A. Cazalilla, and E. W. Plummer, Non-Fermi-liquid behavior in quasi-one-dimensional Li0.9Mo6O17, Phys. Rev. Lett. 95, 186402 (2005).
  16. F. Wang, J. V. Alvarez, S.-K. Mo, J. W. Allen, G.-H. Gweon, J. He, R. Jin, D. Mandrus, and H. Höchst, New Luttinger-liquid physics from photoemission on Li0.9Mo6O17, Phys. Rev. Lett. 96, 196403 (2006).
  17. L. Dudy, J. D. Denlinger, J. W. Allen, F. Wang, J. He, D. Hitchcock, A. Sekiyama, and S. Suga, Photoemission spectroscopy and the unusually robust one-dimensional physics of lithium purple bronze, J. Phys.: Condens. Matter 25, 014007 (2013).
  18. N. Wakeham, A. F. Bangura, X. Xu, J.-F. Mercure, M. Greenblatt, and N. E. Hussey, Gross violation of the Wiedemann–Franz law in a quasi-one-dimensional conductor, Nat. Commun. 2, 396 (2011).
  19. J. L. Cohn, B. D. White, C. A. M. dos Santos, and J. J. Neumeier, Giant Nernst effect and bipolarity in the quasi-one-dimensional metal Li0.9Mo6O17, Phys. Rev. Lett. 108, 056604 (2012).
  20. M. Onoda, K. Toriumi, Y. Matsuda, and M. Sato, Crystal structure of lithium molybdenum purple bronze Li0.9Mo6O17, J. Solid State Chem. 66, 163 (1987).
  21. J.-F. Mercure, A. F. Bangura, X. Xu, N. Wakeham, A. Carrington, P. Walmsley, M. Greenblatt, and N. E. Hussey, Upper critical magnetic field far above the paramagnetic pair-breaking limit of superconducting one-dimensional Li0.9Mo6O17 single crystals, Phys. Rev. Lett. 108, 187003 (2012).
  22. J. Ke, C. Dong, H. Zhu, W. Liu, M. Shi, Y. Du, J. Wang, and M. Yang, Synthesis and physical properties of the theoretically predicted spin-triplet superconductor Li0.9Mo6O17, Ceram. Int. 47, 25229 (2021).
  23. X. Xu, A. F. Bangura, J. G. Analytis, J. D. Fletcher, M. M. J. French, N. Shannon, J. He, S. Zhang, D. Mandrus, R. Jin, and N. E. Hussey, Directional field-induced metallization of quasi-one-dimensional Li0.9Mo6O17, Phys. Rev. Lett. 102, 206602 (2009).
  24. Y. Matsuda, M. Sato, M. Onoda, and K. Nakao, On the anomalous transport properties of Li0.9Mo6O17, J. Phys. C: Solid State Phys. 19, 6039 (1986).
  25. J. Chakhalian, Z. Salman, J. Brewer, A. Froese, J. He, D. Mandrus, and R. Jin, Magnetism in purple bronze Li0.9Mo6O17, Physica B 359, 1333 (2005).
  26. J. Choi, J. L. Musfeldt, J. He, R. Jin, J. R. Thompson, D. Mandrus, X. N. Lin, V. A. Bondarenko, and J. W. Brill, Probing localization effects in Li0.9Mo6O17 purple bronze: An optical-properties investigation, Phys. Rev. B 69, 085120 (2004).
  27. G. Wu, X.-s. Ye, X. Zeng, B. Wu, and W. Clark, Direct observation of charge state in the quasi-one-dimensional conductor Li0.9Mo6O17, Sci. Rep. 6, 20721 (2016).
  28. J. Lu, X. Xu, M. Greenblatt, R. Jin, P. Tinnemans, S. Licciardello, M. R. van Delft, J. Buhot, P. Chudzinski, and N. E. Hussey, Emergence of a real-space symmetry axis in the magnetoresistance of the one-dimensional conductor Li0.9Mo6O17, Sci. Adv. 5, eaar8027 (2019).
  29. P. Chudzinski, M. Berben, X. Xu, N. Wakeham, B. Bernáth, C. Duffy, R. Hinlopen, Y.-T. Hsu, S. Wiedmann, P. Tinnemans, et al., Emergent symmetry in a low-dimensional superconductor on the edge of Mottness, Science 382, 792 (2023).
  30. O. Sepper and A. G. Lebed, Nodeless versus nodal scenarios of possible triplet superconductivity in the quasi-one-dimensional layered conductor Li0.9Mo6O17, Phys. Rev. B 88, 094520 (2013).
  31. W. Cho, C. Platt, R. H. McKenzie, and S. Raghu, Spin-triplet superconductivity in a weak-coupling Hubbard model for the quasi-one-dimensional compound Li0.9Mo6O17, Phys. Rev. B 92, 134514 (2015).
  32. N. Lera and J. V. Alvarez, Triplet superconductivity in a model of Li0.9Mo6O17, Phys. Rev. B 92, 174523 (2015).
  33. C. Platt, W. Cho, R. H. McKenzie, R. Thomale, and S. Raghu, Spin-orbit coupling and odd-parity superconductivity in the quasi-one-dimensional compound Li0.9Mo6O17, Phys. Rev. B 93, 214515 (2016).
  34. W. McCarroll and M. Greenblatt, Preparation of lithium molybdenum oxide bronzes by a temperature gradient flux growth technique, J. Solid State Chem. 54, 282 (1984).
  35. C. Schlenker, H. Schwenk, C. Escribe-Filippini, and J. Marcus, Superconducting properties of the low dimensional purple bronze Li0.9Mo6O17, Physica B+C 135, 511 (1985).
  36. M. Boujida, C. Escribe-Filippini, J. Marcus, and C. Schlenker, Superconducting properties of the low dimensional lithium molybdenum purple bronze Li0.9Mo6O17, Physica C 153-155, 465 (1988).
  37. J. L. Cohn, P. Boynton, J. Triviño, J. Trastoy, B. D. White, C. A.M. dos Santos, and J. J. Neumeier, Stoichiometry, structure, and transport in the quasi-one-dimensional metal Li0.9Mo6O17, Phys. Rev. B 86, 195143 (2012).
  38. C. T. van Degrift, Tunnel diode oscillator for 0.001 ppm measurements at low temperatures, Rev. Sci. Instrum. 46, 599 (1975).
  39. R. Giannetta, A. Carrington, and R. Prozorov, London penetration depth measurements using tunnel diode resonators, J. Low Temp. Phys. 208, 119 (2022).
  40. See Supplemental Material at http://link.aps.org/supplemental/10.1103/y4fj-8c2m for additional details of the analysis procedures presented.
  41. R. Prozorov, Meissner-London susceptibility of superconducting right circular cylinders in an axial magnetic field, Phys. Rev. Appl. 16, 024014 (2021).
  42. O. J. Taylor, A. Carrington, and J. A. Schlueter, Specific-heat measurements of the gap structure of the organic superconductors κ−(ET)2Cu[N(CN)2]Br and κ−(ET)2Cu(NCS)2, Phys. Rev. Lett. 99, 057001 (2007).
  43. M. Tinkham, Introduction to Superconductivity, 2nd ed. (Dover, Garden City, 2004).
  44. M. J. Grant, Y. Liu, G.-H. Cao, J. A. Wilcox, Y. Guo, X. Xu, and A. Carrington, Superconducting energy gap structure of CsV3Sb5 from magnetic penetration depth measurements, J. Phys.: Condens. Matter 37, 065601 (2025).
  45. K. Cho, M. Kończykowski, S. Teknowijoyo, M. A. Tanatar, Y. Liu, T. A. Lograsso, W. E. Straszheim, V. Mishra, S. Maiti, P. J. Hirschfeld, et al., Energy gap evolution across the superconductivity dome in single crystals of (Ba1−xKx)Fe2As2, Sci. Adv. 2, e1600807 (2016).
  46. H. Kim, M. A. Tanatar, R. Flint, C. Petrovic, R. Hu, B. D. White, I. K. Lum, M. B. Maple, and R. Prozorov, Nodal to nodeless superconducting energy-gap structure change concomitant with Fermi-surface reconstruction in the heavy-fermion compound CeCoIn5, Phys. Rev. Lett. 114, 027003 (2015).
  47. J. Merino and R. H. McKenzie, Effective Hamiltonian for the electronic properties of the quasi-one-dimensional material Li0.9Mo6O17, Phys. Rev. B 85, 235128 (2012).
  48. M. Nuss and M. Aichhorn, Effective model for the electronic properties of quasi-one-dimensional purple bronze Li0.9Mo6O17 based on ab initio calculations, Phys. Rev. B 89, 045125 (2014).
  49. B. S. Chandrasekhar and D. Einzel, The superconducting penetration depth from the semiclassical model, Ann. Phys. (N.Y.) 505, 535 (1993).
  50. M. Li, N. R. Lee-Hone, S. Chi, R. Liang, W. N. Hardy, D. A. Bonn, E. Girt, and D. M. Broun, Superfluid density and microwave conductivity of FeSe superconductor: ultra-long-lived quasiparticles and extended s-wave energy gap, New J. Phys. 18, 082001 (2016).
  51. L. Jiao, C.-L. Huang, S. Rößler, C. Koz, U. K. Rößler, U. Schwarz, and S. Wirth, Superconducting gap structure of FeSe, Sci. Rep. 7, 44024 (2017).
  52. A. Carrington and M. Grant, Anisotropic fully-gapped superconductivity in quasi-one-dimensional Li0.9Mo6O17 (2026), https://doi.org/10.5523/bris.4v30c1zoc8n72o46lpipdp4b9.

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