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  • Open Access

Spin and charge transport mediated by fractionalized excitations

Alexey Ermakov* and Alessandro Principi†

  • *Contact author: alexey.ermakov@manchester.ac.uk
  • †Contact author: alessandro.principi@manchester.ac.uk
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Phys. Rev. B 113, 115115 – Published 9 March, 2026

DOI: https://doi.org/10.1103/hl39-h7qv

Abstract

We study charge and spin transport in systems composed of itinerant electrons and localized magnetic moments of a Kitaev quantum spin liquid (QSL) phase. For example, α−RuCl3 either is intrinsically doped or in proximity to graphene. Our analysis reveals distinct temperature-dependent transport behaviors due to the QSL gap and the Majorana excitation spectrum, which are greatly enhanced when the velocities of itinerant electrons and QSL excitations become comparable. These transport characteristics could potentially be employed to reveal the fractionalized excitations of the spin liquid. Furthermore, the observed proportionality between spin and charge relaxation rates identifies a novel realization of Elliott-Yafet relaxation mediated by the fractionalized excitations of a quantum spin liquid.

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Corrections

24 June, 2026

Correction: Minor errors in Refs. [26,28,31,40,41,46] have been fixed.

Article Text

References (51)

  1. Y. Zhou, K. Kanoda, and T.-K. Ng, Quantum spin liquid states, Rev. Mod. Phys. 89, 025003 (2017).
  2. L. Savary and L. Balents, Quantum spin liquids: A review, Rep. Prog. Phys. 80, 016502 (2017).
  3. J. Wen, S.-L. Yu, S. Li, W. Yu, and J.-X. Li, Experimental identification of quantum spin liquids, npj Quantum Mater. 4, 12 (2019).
  4. J. Knolle and R. Moessner, A field guide to spin liquids, Annu. Rev. Condens. Matter Phys. 10, 451 (2019).
  5. X.-G. Wen, Quantum Field Theory of Many-body Systems: From the Origin of Sound to an Origin of Light and Electrons (Oxford University Press, Oxford, UK, 2004).
  6. C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. Das Sarma, Non-Abelian anyons and topological quantum computation, Rev. Mod. Phys. 80, 1083 (2008).
  7. A. Stern, Anyons and the quantum Hall effect—A pedagogical review, Ann. Phys. 323, 204 (2008).
  8. A. Blasi, A. Braggio, M. Carrega, D. Ferraro, N. Maggiore, and N. Magnoli, Non-Abelian BF theory for 2 + 1 dimensional topological states of matter, New J. Phys. 14, 013060 (2012).
  9. M. M. Müller, R. S. Said, F. Jelezko, T. Calarco, and S. Montangero, One decade of quantum optimal control in the chopped random basis, Rep. Prog. Phys. 85, 076001 (2022).
  10. H. Takagi, T. Takayama, G. Jackeli, G. Khaliullin, and S. E. Nagler, Concept and realization of Kitaev quantum spin liquids, Nat. Rev. Phys. 1, 264 (2019).
  11. A. Loidl, P. Lunkenheimer, and V. Tsurkan, On the proximate Kitaev quantum-spin liquid α−RuCl3: Thermodynamics, excitations and continua, J. Phys.: Condens. Matter 33, 443004 (2021).
  12. R. Yadav, N. A. Bogdanov, V. M. Katukuri, S. Nishimoto, J. Van Den Brink, and L. Hozoi, Kitaev exchange and field-induced quantum spin-liquid states in honeycomb α−RuCl3, Sci. Rep. 6, 37925 (2016).
  13. A. Kitaev, Anyons in an exactly solved model and beyond, Ann. Phys. 321, 2 (2006).
  14. M. Hermanns, I. Kimchi, and J. Knolle, Physics of the Kitaev model: Fractionalization, dynamic correlations, and material connections, Annu. Rev. Condens. Matter Phys. 9, 17 (2018).
  15. J. Knolle, Dynamics of a Quantum Spin Liquid (Springer, Berlin, 2016).
  16. C. Peng, Y.-F. Jiang, T. P. Devereaux, and H.-C. Jiang, Precursor of pair-density wave in doping Kitaev spin liquid on the honeycomb lattice, npj Quantum Mater. 6, 64 (2021).
  17. G. Jackeli and G. Khaliullin, Mott insulators in the strong spin-orbit coupling limit: From Heisenberg to a quantum compass and Kitaev models, Phys. Rev. Lett. 102, 017205 (2009).
  18. S.-H. Baek, S.-H. Do, K.-Y. Choi, Y. S. Kwon, A. U. B. Wolter, S. Nishimoto, J. van den Brink, and B. Büchner, Evidence for a field-induced quantum spin liquid in α−RuCl3, Phys. Rev. Lett. 119, 037201 (2017).
  19. M. Carrega, I. J. Vera-Marun, and A. Principi, Tunneling spectroscopy as a probe of fractionalization in two-dimensional magnetic heterostructures, Phys. Rev. B 102, 085412 (2020).
  20. L. J. Sandilands, Y. Tian, K. W. Plumb, Y.-J. Kim, and K. S. Burch, Scattering continuum and possible fractionalized excitations in α−RuCl3, Phys. Rev. Lett. 114, 147201 (2015).
  21. B. Zhou, J. Balgley, P. Lampen-Kelley, J.-Q. Yan, D. G. Mandrus, and E. A. Henriksen, Evidence for charge transfer and proximate magnetism in graphene-α−RuCl3 heterostructures, Phys. Rev. B 100, 165426 (2019).
  22. S. Mashhadi, Y. Kim, J. Kim, D. Weber, T. Taniguchi, K. Watanabe, N. Park, B. Lotsch, J. H. Smet, M. Burghard, and K. Kern, Spin-split band hybridization in graphene proximitized with α−RuCl3 nanosheets, Nano Lett. 19, 4659 (2019).
  23. V. Leeb, K. Polyudov, S. Mashhadi, S. Biswas, R. Valentí, M. Burghard, and J. Knolle, Anomalous quantum oscillations in a heterostructure of graphene on a proximate quantum spin liquid, Phys. Rev. Lett. 126, 097201 (2021).
  24. P. W. Anderson, Infrared catastrophe in Fermi gases with local scattering potentials, Phys. Rev. Lett. 18, 1049 (1967).
  25. A. P. Joy and A. Rosch, Dynamics of visons and thermal Hall effect in perturbed Kitaev models, Phys. Rev. X 12, 041004 (2022).
  26. A. Rossi, C. Johnson, J. Balgley, et al., Direct visualization of the charge transfer in a graphene/α−RuCl3 heterostructure via angle-resolved photoemission spectroscopy, Nano Lett. 23, 8000 (2023).
  27. K. W. Plumb, J. P. Clancy, L. J. Sandilands, V. V. Shankar, Y. F. Hu, K. S. Burch, H. Y. Kee, and Y. J. Kim, α−RuCl3: A spin-orbit assisted Mott insulator on a honeycomb lattice, Phys. Rev. B 90, 041112(R) (2014).
  28. S. Sinn, C. Kim, B. Kim, et al., Electronic structure of the Kitaev material α−RuCl3 probed by photoemission and inverse photoemission spectroscopies, Sci. Rep. 6, 39544 (2016).
  29. J. Knolle, D. L. Kovrizhin, J. T. Chalker, and R. Moessner, Dynamics of a two-dimensional quantum spin liquid: Signatures of emergent Majorana fermions and fluxes, Phys. Rev. Lett. 112, 207203 (2014).
  30. A. Banerjee, J. Yan, J. Knolle, et al., Neutron scattering in the proximate quantum spin liquid α−RuCl3, Science 356, 1055 (2017).
  31. S.-H. Do, S.-Y. Park, J. Yoshitake, et al., Majorana fermions in the Kitaev quantum spin system α−RuCl3, Nat. Phys. 13, 1079 (2017).
  32. N. Tombros, C. Jozsa, M. Popinciuc, H. T. Jonkman, and B. J. van Wees, Electronic spin transport and spin precession in single graphene layers at room temperature, Nature (London) 448, 571 (2007).
  33. W. Han, R. K. Kawakami, M. Gmitra, and J. Fabian, Graphene spintronics, Nat. Nanotechnol. 9, 794 (2014).
  34. J. Sinova, S. O. Valenzuela, J. Wunderlich, C. H. Back, and T. Jungwirth, Spin Hall effects, Rev. Mod. Phys. 87, 1213 (2015).
  35. S. O. Valenzuela and M. Tinkham, Direct electronic measurement of the spin Hall effect, Nature (London) 442, 176 (2006).
  36. E. Saitoh, M. Ueda, H. Miyajima, and G. Tatara, Conversion of spin current into charge current at room temperature: Inverse spin-Hall effect, Appl. Phys. Lett. 88, 182509 (2006).
  37. H. Ochoa, A. H. Castro Neto, and F. Guinea, Elliot-Yafet mechanism in graphene, Phys. Rev. Lett. 108, 206808 (2012).
  38. A. Avsar, H. Ochoa, F. Guinea, B. Özyilmaz, B. J. van Wees, and I. J. Vera-Marun, Colloquium: Spintronics in graphene and other two-dimensional materials, Rev. Mod. Phys. 92, 021003 (2020).
  39. M. Bonilla, S. Kolekar, Y. Ma, et al., Strong room-temperature ferromagnetism in VSe2 monolayers on van der Waals substrates, Nat. Nanotechnol. 13, 289 (2018).
  40. N. L. Nair, E. Maniv, C. John, et al., Electrical switching in a magnetically intercalated transition metal dichalcogenide, Nature Mater. 19, 153 (2020).
  41. X. He, C. Zhang, D. Zheng, P. Li, J. Q. Xiao, and X. Zhang, Nonlocal spin valves based on graphene/Fe3GeTe2 van der Waals heterostructures, ACS Appl. Mater. Interfaces 15, 9649 (2023).
  42. X. Hu, Y. Ominato, and M. Matsuo, Spin Seebeck effect in graphene, Phys. Rev. B 110, 245308 (2024).
  43. S. Das Sarma, S. Adam, E. H. Hwang, and E. Rossi, Electronic transport in two-dimensional graphene, Rev. Mod. Phys. 83, 407 (2011).
  44. J. Horng, C.-F. Chen, B. Geng, et al., Drude conductivity of Dirac fermions in graphene, Phys. Rev. B 83, 165113 (2011).
  45. H. Nakayama, M. Althammer, Y.-T. Chen, et al., Spin Hall magnetoresistance induced by a nonequilibrium proximity effect, Phys. Rev. Lett. 110, 206601 (2013).
  46. Y. Wang, M. M. Decker, T. N. G. Meier, et al., Spin pumping during the antiferromagnetic–ferromagnetic phase transition of iron–rhodium, Nat. Commun. 11, 275 (2020).
  47. S. F. Weber and J. B. Neaton, Origins of anisotropic transport in the electrically switchable antiferromagnet Fe1/3NbS2, Phys. Rev. B 103, 214439 (2021).
  48. Y. Deng, Y. Yu, Y. Song, et al., Gate-tunable room-temperature ferromagnetism in two-dimensional Fe3GeTe2, Nature (London) 563, 94 (2018).
  49. I. D'Amico and G. Vignale, Theory of spin Coulomb drag in spin-polarized transport, Phys. Rev. B 62, 4853 (2000).
  50. A. Principi and G. Vignale, Intrinsic charge and spin conductivities of doped graphene in the Fermi-liquid regime, Phys. Rev. B 91, 205423 (2015).
  51. H.-S. Kim and H.-Y. Kee, Crystal structure and magnetism in α−RuCl3: An ab initio study, Phys. Rev. B 93, 155143 (2016).

Outline

Information

Phys. Rev. B 113, 115115– Published 9 March, 2026
  • Received 4 April 2025
  • Revised 9 January 2026
  • Accepted 11 February 2026
  • Corrected 24 June 2026
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