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  • Open Access

Ground state properties of the doped Kitaev-Heisenberg chain: Topological superconducting and Mott-insulating phases driven by magnetic frustration

Cliò Efthimia Agrapidis

Satoshi Nishimoto*

  • Faculty of Physics, University of Warsaw, Pasteura 5, PL-02093 Warsaw, Poland and Institute of Solid State Physics, TU Wien, 1040 Vienna, Austria

  • Department of Physics, Technical University Dresden, 01069 Dresden, Germany and Institute for Theoretical Solid State Physics, IFW Dresden, 01171 Dresden, Germany

  • *Contact author: s.nishimoto@ifw-dresden.de

Phys. Rev. B 114, L051109 – Published 21 July, 2026

DOI: https://doi.org/10.1103/8jr6-87ds

Abstract

We study the hole-doped Kitaev-Heisenberg chain using the density-matrix renormalization group. In the Kitaev-only limit, the bond-directional exchange itself promotes pairing, favoring spin-singlet and spin-triplet superconducting tendencies for antiferromagnetic and ferromagnetic Kitaev couplings, respectively, together with finite-size Majorana edge correlations suggestive of topological superconductivity. In the full Kitaev-Heisenberg chain, cooperative J- and K exchanges broadly stabilize superconductivity, while competition between J and K induces a strong filling dependence and enables superconductivity even when both J and K are weak. At quarter filling, this competition produces a Mott insulator with spontaneous hopping dimerization. These results identify magnetic frustration as a common mechanism underlying superconducting and interaction-driven insulating phases in doped Kitaev systems.

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References (26)

  1. A. Kitaev, Anyons in an exactly solved model and beyond, Ann. Phys. 321, 2 (2006).
  2. 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).
  3. S. M. Winter, A. A. Tsirlin, M. Daghofer, J. van den Brink, Y. Singh, P. Gegenwart, and R. Valenti, Models and materials for generalized Kitaev magnetism, J. Phys.: Condens. Matter 29, 493002 (2017).
  4. 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).
  5. S. Trebst and C. Hickey, Kitaev materials, Phys. Rep. 950, 1 (2022).
  6. Y. Matsuda, T. Shibauchi, and H.-Y. Kee, Kitaev quantum spin liquids, Rev. Mod. Phys. 97, 045003 (2025).
  7. Y.-Z. You, I. Kimchi, and A. Vishwanath, Doping a spin-orbit Mott insulator: Topological superconductivity from the Kitaev-Heisenberg model and possible application to (Na2/Li2)IrO3, Phys. Rev. B 86, 085145 (2012).
  8. T. Hyart, A. R. Wright, G. Khaliullin, and B. Rosenow, Competition between d-wave and topological p-wave superconducting phases in the doped Kitaev-Heisenberg model, Phys. Rev. B 85, 140510(R) (2012).
  9. S. Okamoto, Global phase diagram of a doped Kitaev-Heisenberg model, Phys. Rev. B 87, 064508 (2013).
  10. J. Schmidt, D. D. Scherer, and A. M. Black-Schaffer, Topological superconductivity in the extended Kitaev-Heisenberg model, Phys. Rev. B 97, 014504 (2018).
  11. F. J. Burnell and C. Nayak, SU(2) slave fermion solution of the Kitaev honeycomb lattice model, Phys. Rev. B 84, 125125 (2011).
  12. J.-W. Mei, Possible Fermi liquid in the lightly doped Kitaev spin liquid, Phys. Rev. Lett. 108, 227207 (2012).
  13. T. Liu, C. Repellin, B. Douçot, N. Regnault, and K. Le Hur, Triplet FFLO superconductivity in the doped Kitaev-Heisenberg honeycomb model, Phys. Rev. B 94, 180506(R) (2016).
  14. 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).
  15. P. Laurell, B. Pandey, G. B. Halász, S. Okamoto, G. Alvarez, and E. Dagotto, Pairing tendencies in the doped Kitaev-Heisenberg model, Phys. Rev. B 110, 224518 (2024).
  16. A. Hardy, R. Levy, and A. Paramekanti, Searching for superconductivity in doped triangular lattice Kitaev magnets, Phys. Rev. B 113, 174528 (2026).
  17. B. Pandey, B. Xiao, S. Okamoto, G. Alvarez, G. B. Halász, E. Dagotto, and P. Laurell, Kinetic obstruction to pairing in the doped Kitaev-Heisenberg ladder, arXiv:2603.12198.
  18. J. Chaloupka, G. Jackeli, and G. Khaliullin, Zigzag magnetic order in the iridium oxide Na2IrO3, Phys. Rev. Lett. 110, 097204 (2013).
  19. C. E. Agrapidis, J. van den Brink, and S. Nishimoto, Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb, Sci. Rep. 8, 1815 (2018).
  20. A. Catuneanu, E. S. Sørensen, and H.-Y. Kee, Nonlocal string order parameter in the S=12 Kitaev-Heisenberg ladder, Phys. Rev. B 99, 195112 (2019).
  21. C. E. Agrapidis, J. van den Brink, and S. Nishimoto, Ground state and low-energy excitations of the Kitaev-Heisenberg two-leg ladder, Phys. Rev. B 99, 224418 (2019).
  22. S. Ejima, F. Gebhard, and S. Nishimoto, Tomonaga-Luttinger parameters for doped Mott insulators, Europhys. Lett. 70, 492 (2005).
  23. J.-J. Miao, H.-K. Jin, F.-C. Zhang, and Y. Zhou, Majorana zero modes and long range edge correlation in interacting Kitaev chains: Analytic solutions and density-matrix-renormalization-group study, Sci. Rep. 8, 488 (2018).
  24. M. Ogata, M. U. Luchini, S. Sorella, and F. F. Assaad, Phase diagram of the one-dimensional t−J model, Phys. Rev. Lett. 66, 2388 (1991).
  25. A. Moreno, A. Muramatsu, and S. R. Manmana, Ground-state phase diagram of the one-dimensional t−J model, Phys. Rev. B 83, 205113 (2011).
  26. C. E. Agrapidis and S. Nishimoto, Dataset for “Ground state properties of the doped Kitaev-Heisenberg chain: Topological superconducting and Mott insulating phases driven by magnetic frustration,” Zenodo, 2026, doi: 10.5281/zenodo.21282311.

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