- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review B

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Instability of three-band Tomonaga-Luttinger liquid: Renormalization group analysis and possible application to K2Cr3As3

Jian-Jian Miao, Fu-Chun Zhang, and Yi Zhou

  • Department of Physics, Zhejiang University, Hangzhou 310027, China and Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093, China

PDF

Phys. Rev. B 94, 205129 – Published 18 November, 2016

DOI: https://doi.org/10.1103/PhysRevB.94.205129

Abstract

Motivated by recently discovered quasi-one-dimensional superconductor K2Cr3As3 with D3h lattice symmetry, we study a one-dimensional three-orbital Hubbard model with generic electron repulsive interaction described by intraorbital repulsion U, interorbital repulsion U′, and Hund's coupling J. As extracted from density functional theory calculation, two of the three atomic orbitals are degenerate (E′ states) and the third one is nondegenerate (A1′), and the system is at incommensurate filling. With the help of bosonization, the normal state is described by a three-band Tomonaga-Luttinger liquid. Possible charge density wave (CDW), spin density wave (SDW), and superconducting (SC) instabilities are analyzed by renormalization group method. The ground state depends on the ratio J/U and is sensitive to the degeneracy of E′ bands. The spin-singlet SC state is favored at 0<J<U/3, and the spin-triplet SC state is favored in the region U/3<J<U/2. The SDW state has the lowest energy only in the unphysical parameter region J>U/2. When the twofold degeneracy of E′ bands is lifted, the SDW instability has the tendency to dominate over the spin-singlet SC state at 0<J<U/3, while the order parameter of the spin-triplet SC state will be modulated by a phase factor 2ΔkFx at U/3<J<U/2. Possible experimental consequences and applications to K2Cr3As3 are discussed.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (33)

  1. 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, Phys. Rev. X 5, 011013 (2015).
  2. Z.-T. Tang, J.-K. Bao, Y. Liu, Y.-L. Sun, A. Ablimit, H.-F. Zhai, H. Jiang, C.-M. Feng, Z.-A. Xu, and G.-H. Cao, Phys. Rev. B 91, 020506(R) (2015).
  3. Z.-T. Tang, J.-K. Bao, Z. Wang, H. Bai, H. Jiang, Y. Liu, H.-F. Zhai, C.-M. Feng, Z.-A. Xu, and G.-H. Cao, Sci. Chin. Mater. 58, 16 (2015).
  4. G.-H. Cao, J.-K. Bao, Z.-T. Tang, Y. Liu, and H. Jiang, arXiv:1609.09635.
  5. H. Z. Zhi, T. Imai, F. L. Ning, J.-K. Bao, and G.-H. Cao, Phys. Rev. Lett. 114, 147004 (2015).
  6. J. Yang, Z. T. Tang, G. H. Cao, and G.-q. Zheng, Phys. Rev. Lett. 115, 147002 (2015).
  7. T. Kong, S. L. Bud'ko, and P. C. Canfield, Phys. Rev. B 91, 020507(R) (2015).
  8. F. F. Balakirev, T. Kong, M. Jaime, R. D. McDonald, C. H. Mielke, A. Gurevich, P. C. Canfield, and S. L. Bud'ko, Phys. Rev. B 91, 220505(R) (2015).
  9. H. Zuo, J.-K. Bao, Y. Liu, J. Wang, Z. Jin, Z. Xia, L. Li, Z. Xu, Z. Zhu, and G.-H. Cao, arXiv:1511.06169.
  10. D. T. Adroja, A. Bhattacharyya, M. Telling, Yu. Feng, M. Smidman, B. Pan, J. Zhao, A. D. Hillier, F. L. Pratt, and A. M. Strydom, Phys. Rev. B 92, 134505 (2015).
  11. 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, Phys. Rev. B 91, 220502(R) (2015).
  12. Y. Liu, J.-K. Bao, H.-K. Zuo, A. Ablimit, Z.-T. Tang, C.-M. Feng, Z.-W. Zhu, and G.-H. Cao, Sci. Chin. Phys. Mech. Astron. 59, 1 (2016).
  13. H. Jiang, G. Cao, and C. Cao, Sci. Rep. 5, 16054 (2015).
  14. X. X. Wu, C. C. Le, J. Yuan, H. Fan, and J. P. Hu, Chin. Phys. Lett. 32, 057401 (2015).
  15. Y. Zhou, C. Cao, and F.-C. Zhang, arXiv:1502.03928.
  16. X. Wu, F. Yang, C. Le, J. Yuan, H. Fan, and J. Hu, Phys. Rev. B 92, 104511 (2015).
  17. L.-D. Zhang, X. Wu, H. Fan, F. Yang, and J. Hu, arXiv:1512.00147.
  18. X. Wu, F. Yang, S. Qin, H. Fan, and J. Hu, arXiv:1507.07451.
  19. H. Zhong, X.-Y. Feng, H. Chen, and J. Dai, Phys. Rev. Lett. 115, 227001 (2015).
  20. P. Chudzinski, M. Gabay, and T. Giamarchi, Phys. Rev. B 78, 075124 (2008).
  21. J.-i. Okamoto and A. J. Millis, Phys. Rev. B 85, 115406 (2012).
  22. D. Carpentier and E. Orignac, Phys. Rev. B 74, 085409 (2006).
  23. E. Arrigoni, Phys. Status Solidi B 195, 425 (1996).
  24. T. Kimura, K. Kuroki, and H. Aoki, J. Phys. Soc. Jpn. 67, 1377 (1998).
  25. T. Giamarchi, Quantum Physics in One Dimension (Clarendon Press, Oxford, UK, 2003).
  26. J. Cardy, Scaling and Renormalization Group in Statistical Physics (Cambridge University Press, Cambridge, UK, 1996).
  27. E. Orignac and Y. Suzumura, Eur. J. Phys. 23, 57 (2001).
  28. A. Altland and B. D. Simons, Condensed Matter Field Theory (Cambridge University Press, Cambridge, UK, 2010).
  29. X. Dai, Z. Fang, Y. Zhou, and F.-C. Zhang, Phys. Rev. Lett. 101, 057008 (2008).
  30. P. Fulde and R. A. Ferrell, Phys. Rev. 135, A550 (1964).
  31. A. I. Larkin and Y. N. Ovchinnikov, Zh. Eksp. Teor. Fiz. 47, 1136 (1964) [Sov. Phys. JETP 20, 762 (1965)].
  32. N. D. Mermin and H. Wagner, Phys. Rev. Lett. 17, 1133 (1966).
  33. P. C. Hohenberg, Phys. Rev. 158, 383 (1967).

Outline

Information

Phys. Rev. B 94, 205129– Published 18 November, 2016
  • Received 28 March 2016
  • Revised 26 September 2016

©2016 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation