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  • Letter
  • Open Access

Resonantly enhanced superconductivity mediated by spinor condensates

Giacomo Bighin1, Puneet A. Murthy2, Nicolò Defenu3, and Tilman Enss1

Phys. Rev. Research 7, L022070 – Published 20 June, 2025

DOI: https://doi.org/10.1103/PhysRevResearch.7.L022070

Abstract

Achieving strong interactions in fermionic many-body systems is a major theme of research in condensed matter physics. It is well-known that interactions between fermions can be mediated through a bosonic medium, such as a phonon bath or Bose-Einstein condensate (BEC). Here we show that such induced attraction can be resonantly enhanced when the bosonic medium is a two-component spinor BEC. The strongest interaction is achieved by tuning the boson-boson scattering to the quantum critical spinodal point of the BEC where the sound velocity vanishes. The fermion pairing gap and the superconducting critical temperature can thus be dramatically enhanced. We propose two experimental realizations of this scenario, with exciton-polariton systems in two-dimensional semiconductors and ultracold atomic Bose-Fermi mixtures.

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References (67)

  1. J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Theory of superconductivity, Phys. Rev. 108, 1175 (1957).
  2. Y. Cao, V. Fatemi, S. Fang, K. Watanabe, T. Taniguchi, E. Kaxiras, and P. Jarillo-Herrero, Unconventional superconductivity in magic-angle graphene superlattices, Nature (London) 556, 43 (2018).
  3. W. Zwerger (ed.), The BCS-BEC Crossover and the Unitary Fermi Gas, Lecture Notes in Physics Vol. 836 (Springer, Berlin, 2011).
  4. A. Chakraborty and F. Piazza, Long-range photon fluctuations enhance photon-mediated electron pairing and superconductivity, Phys. Rev. Lett. 127, 177002 (2021).
  5. A. Chakraborty and F. Piazza, Controlling collective phenomena by engineering the quantum state of force carriers: The case of photon-mediated superconductivity and its criticality, arXiv:2207.07131.
  6. O. Cotlet, S. Zeytinoğlu, M. Sigrist, E. Demler, and A. Imamoğlu, Superconductivity and other collective phenomena in a hybrid Bose-Fermi mixture formed by a polariton condensate and an electron system in two dimensions, Phys. Rev. B 93, 054510 (2016).
  7. D. Suchet, Z. Wu, F. Chevy, and G. M. Bruun, Long-range mediated interactions in a mixed-dimensional system, Phys. Rev. A 95, 043643 (2017).
  8. A. Camacho-Guardian, M. A. Bastarrachea-Magnani, and G. M. Bruun, Mediated interactions and photon bound states in an exciton-polariton mixture, Phys. Rev. Lett. 126, 017401 (2021).
  9. M. A. Bastarrachea-Magnani, A. Camacho-Guardian, and G. M. Bruun, Attractive and repulsive exciton-polariton interactions mediated by an electron gas, Phys. Rev. Lett. 126, 127405 (2021).
  10. F. P. Laussy, A. V. Kavokin, and I. A. Shelykh, Exciton-polariton mediated superconductivity, Phys. Rev. Lett. 104, 106402 (2010).
  11. Z. Wu and G. M. Bruun, Topological superfluid in a Fermi-Bose mixture with a high critical temperature, Phys. Rev. Lett. 117, 245302 (2016).
  12. J. J. Kinnunen, Z. Wu, and G. M. Bruun, Induced p-wave pairing in Bose-Fermi mixtures, Phys. Rev. Lett. 121, 253402 (2018).
  13. L. P. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Clarendon Press, Oxford, 2003).
  14. D. M. Larsen, Binary mixtures of dilute Bose gases with repulsive interactions at low temperature, Ann. Phys. 24, 89 (1963).
  15. Y. Kawaguchi and M. Ueda, Spinor Bose–Einstein condensates, Phys. Rep. 520, 253 (2012).
  16. D. M. Stamper-Kurn and M. Ueda, Spinor Bose gases: Symmetries, magnetism, and quantum dynamics, Rev. Mod. Phys. 85, 1191 (2013).
  17. V. Karle, N. Defenu, and T. Enss, Coupled superfluidity of binary Bose mixtures in two dimensions, Phys. Rev. A 99, 063627 (2019).
  18. A. Recati and S. Stringari, Coherently coupled mixtures of ultracold atomic gases, Annu. Rev. Condens. Matter Phys. 13, 407 (2022).
  19. S. B. Papp, J. M. Pino, and C. E. Wieman, Tunable miscibility in a dual-species Bose-Einstein condensate, Phys. Rev. Lett. 101, 040402 (2008).
  20. L. Wen, H. Guo, Y.-J. Wang, A.-Y. Hu, H. Saito, C.-Q. Dai, and X.-F. Zhang, Effects of atom numbers on the miscibility-immiscibility transition of a binary Bose-Einstein condensate, Phys. Rev. A 101, 033610 (2020).
  21. M. Deng, M. Xue, J. Pang, H. Luo, Z. Wang, J. Li, and D. Yang, Miscibility of binary Bose-Einstein condensates with p-wave interaction, Phys. Rev. A 109, 043324 (2024).
  22. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.7.L022070 for the derivation of the normal modes of the spinor BEC and the interaction vertices between normal modes and fermions.
  23. R. S. Lous, I. Fritsche, M. Jag, F. Lehmann, E. Kirilov, B. Huang, and R. Grimm, Probing the interface of a phase-separated state in a repulsive Bose-Fermi mixture, Phys. Rev. Lett. 120, 243403 (2018).
  24. D. S. Petrov, Quantum mechanical stabilization of a collapsing Bose-Bose mixture, Phys. Rev. Lett. 115, 155302 (2015).
  25. D. S. Petrov and G. E. Astrakharchik, Ultradilute low-dimensional liquids, Phys. Rev. Lett. 117, 100401 (2016).
  26. P. W. Anderson and P. Morel, Generalized Bardeen-Cooper-Schrieffer states and the proposed low-temperature phase of liquid He3, Phys. Rev. 123, 1911 (1961).
  27. G. Bighin, A. Burchianti, F. Minardi, and T. Macrì, Impurity in a heteronuclear two-component Bose mixture, Phys. Rev. A 106, 023301 (2022).
  28. H. Fröhlich, Electrons in lattice fields, Adv. Phys. 3, 325 (1954).
  29. C. Baroni, B. Huang, I. Fritsche, E. Dobler, G. Anich, E. Kirilov, R. Grimm, M. A. Bastarrachea-Magnani, P. Massignan, and G. M. Bruun, Mediated interactions between Fermi polarons and the role of impurity quantum statistics, Nat. Phys. 20, 68 (2024).
  30. R. Schmidt, M. Knap, D. A. Ivanov, J.-S. You, M. Cetina, and E. Demler, Universal many-body response of heavy impurities coupled to a Fermi sea: A review of recent progress, Rep. Prog. Phys. 81, 024401 (2018).
  31. F. Scazza, M. Zaccanti, P. Massignan, M. M. Parish, and J. Levinsen, Repulsive Fermi and Bose polarons in quantum gases, Atoms 10, 55 (2022).
  32. T. Enss and W. Zwerger, Superfluidity near phase separation in Bose-Fermi mixtures, Eur. Phys. J. B 68, 383 (2009).
  33. P. Lenz and F. Wegner, Flow equations for electron-phonon interactions, Nucl. Phys. B 482, 693 (1996).
  34. K. Fujii, M. Hongo, and T. Enss, Universal van der Waals force between heavy polarons in superfluids, Phys. Rev. Lett. 129, 233401 (2022).
  35. H. Heiselberg, C. J. Pethick, H. Smith, and L. Viverit, Influence of induced interactions on the superfluid transition in dilute Fermi gases, Phys. Rev. Lett. 85, 2418 (2000).
  36. A. J. Leggett, Quantum Liquids: Bose Condensation and Cooper Pairing in Condensed-Matter Systems (Oxford University Press, Oxford, 2008).
  37. G. Wang, A. Chernikov, M. M. Glazov, T. F. Heinz, X. Marie, T. Amand, and B. Urbaszek, Colloquium: Excitons in atomically thin transition metal dichalcogenides, Rev. Mod. Phys. 90, 021001 (2018).
  38. L. B. Tan, O. Cotlet, A. Bergschneider, R. Schmidt, P. Back, Y. Shimazaki, M. Kroner, and A. Imamoğlu, Interacting polaron-polaritons, Phys. Rev. X 10, 021011 (2020).
  39. G. Li, M. M. Parish, and J. Levinsen, Microscopic calculation of polariton scattering in semiconductor microcavities, Phys. Rev. B 104, 245404 (2021).
  40. N. Takemura, S. Trebaol, M. Wouters, M. T. Portella-Oberli, and B. Deveaud, Polaritonic Feshbach resonance, Nat. Phys. 10, 500 (2014).
  41. E. J. Sie, J. W. McIver, Y.-H. Lee, L. Fu, J. Kong, and N. Gedik, Valley-selective optical Stark effect in monolayer WS2, Nat. Mater. 14, 290 (2015).
  42. C.-K. Yong, J. Horng, Y. Shen, H. Cai, A. Wang, C.-S. Yang, C.-K. Lin, S. Zhao, K. Watanabe, T. Taniguchi, S. Tongay, and F. Wang, Biexcitonic optical stark effects in monolayer molybdenum diselenide, Nat. Phys. 14, 1092 (2018).
  43. C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Feshbach resonances in ultracold gases, Rev. Mod. Phys. 82, 1225 (2010).
  44. L. B. Tan, O. K. Diessel, A. Popert, R. Schmidt, A. Imamoglu, and M. Kroner, Bose polaron interactions in a cavity-coupled monolayer semiconductor, Phys. Rev. X 13, 031036 (2023).
  45. S. V. Andreev, Resonant pairing of excitons in semiconductor heterostructures, Phys. Rev. B 94, 140501(R) (2016).
  46. G. Li, O. Bleu, J. Levinsen, and M. M. Parish, Theory of polariton-electron interactions in semiconductor microcavities, Phys. Rev. B 103, 195307 (2021).
  47. P. Gallagher, C.-S. Yang, T. Lyu, F. Tian, R. Kou, H. Zhang, K. Watanabe, T. Taniguchi, and F. Wang, Quantum-critical conductivity of the Dirac fluid in graphene, Science 364, 158 (2019).
  48. F. Schreck, L. Khaykovich, K. L. Corwin, G. Ferrari, T. Bourdel, J. Cubizolles, and C. Salomon, Quasipure Bose-Einstein condensate immersed in a Fermi sea, Phys. Rev. Lett. 87, 080403 (2001).
  49. A. G. Truscott, K. E. Strecker, W. I. McAlexander, G. B. Partridge, and R. G. Hulet, Observation of Fermi pressure in a gas of trapped atoms, Science 291, 2570 (2001).
  50. I. Ferrier-Barbut, M. Delehaye, S. Laurent, A. T. Grier, M. Pierce, B. S. Rem, F. Chevy, and C. Salomon, A mixture of Bose and Fermi superfluids, Science 345, 1035 (2014).
  51. C. R. Cabrera, L. Tanzi, J. Sanz, B. Naylor, P. Thomas, P. Cheiney, and L. Tarruell, Quantum liquid droplets in a mixture of Bose-Einstein condensates, Science 359, 301 (2018).
  52. B. J. DeSalvo, K. Patel, G. Cai, and C. Chin, Observation of fermion-mediated interactions between bosonic atoms, Nature (London) 568, 61 (2019).
  53. G. Thalhammer, G. Barontini, L. De Sarlo, J. Catani, F. Minardi, and M. Inguscio, Double species Bose-Einstein condensate with tunable interspecies interactions, Phys. Rev. Lett. 100, 210402 (2008).
  54. C. D'Errico, A. Burchianti, M. Prevedelli, L. Salasnich, F. Ancilotto, M. Modugno, F. Minardi, and C. Fort, Observation of quantum droplets in a heteronuclear bosonic mixture, Phys. Rev. Res. 1, 033155 (2019).
  55. A. Schirotzek, Y.-il Shin, C. H. Schunck, and W. Ketterle, Determination of the superfluid gap in atomic Fermi gases by quasiparticle spectroscopy, Phys. Rev. Lett. 101, 140403 (2008).
  56. P. A. Murthy, M. Neidig, R. Klemt, L. Bayha, I. Boettcher, T. Enss, M. Holten, G. Zürn, P. M. Preiss, and S. Jochim, High-temperature pairing in a strongly interacting two-dimensional Fermi gas, Science 359, 452 (2018).
  57. P. A. Murthy, D. Kedar, T. Lompe, M. Neidig, M. G. Ries, A. N. Wenz, G. Zürn, and S. Jochim, Matter-wave Fourier optics with a strongly interacting two-dimensional Fermi gas, Phys. Rev. A 90, 043611 (2014).
  58. S. Hoinka, P. Dyke, M. G. Lingham, J. J. Kinnunen, G. M. Bruun, and C. J. Vale, Goldstone mode and pair-breaking excitations in atomic Fermi superfluids, Nat. Phys. 13, 943 (2017).
  59. H. Biss, L. Sobirey, N. Luick, M. Bohlen, J. J. Kinnunen, G. M. Bruun, T. Lompe, and H. Moritz, Excitation spectrum and superfluid gap of an ultracold Fermi gas, Phys. Rev. Lett. 128, 100401 (2022).
  60. S. Ospelkaus, C. Ospelkaus, L. Humbert, K. Sengstock, and K. Bongs, Tuning of heteronuclear interactions in a degenerate Fermi-Bose mixture, Phys. Rev. Lett. 97, 120403 (2006).
  61. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 2011).
  62. G. Semeghini, G. Ferioli, L. Masi, C. Mazzinghi, L. Wolswijk, F. Minardi, M. Modugno, G. Modugno, M. Inguscio, and M. Fattori, Self-bound quantum droplets of atomic mixtures in free space, Phys. Rev. Lett. 120, 235301 (2018).
  63. K. Katsumi, N. Tsuji, Y. I. Hamada, R. Matsunaga, J. Schneeloch, R. D. Zhong, G. D. Gu, H. Aoki, Y. Gallais, and R. Shimano, Higgs mode in the d-wave superconductor Bi2Sr2CaCu2O8+x driven by an intense terahertz pulse, Phys. Rev. Lett. 120, 117001 (2018).
  64. R. Shimano and N. Tsuji, Higgs mode in superconductors, Annu. Rev. Condens. Matter Phys. 11, 103 (2020).
  65. K. Isoyama, N. Yoshikawa, K. Katsumi, J. Wong, N. Shikama, Y. Sakishita, F. Nabeshima, A. Maeda, and R. Shimano, Light-induced enhancement of superconductivity in iron-based superconductor FeSe0.5Te0.5, Commun. Phys. 4, 160 (2021).
  66. C. Zerba, C. Kuhlenkamp, A. Imamoğlu, and M. Knap, Realizing topological superconductivity in tunable Bose-Fermi mixtures with transition metal dichalcogenide heterostructures, Phys. Rev. Lett. 133, 056902 (2024).
  67. J. von Milczewski, X. Chen, A. Imamoğlu, and R. Schmidt, Superconductivity induced by strong electron-exciton coupling in doped atomically thin semiconductor heterostructures, Phys. Rev. Lett. 133, 226903 (2024).

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