Skip to main content
SpringerLink
Log in

Phase diagram of the frustrated asymmetric ferromagnetic spin ladder

  • Regular Article
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

We present a systematic investigation on the ground state of an asymmetric two-leg spin ladder (where exchange couplings of the legs are unequal) with ferromagnetic (FM) nearest-neighbor interaction and diagonal anti-ferromagnetic frustration using the density matrix renormalization group method. When the ladder is strongly asymmetric with moderate frustration, a magnetic canted state is observed between an FM state and a singlet dimerized state. The phase boundaries are dependent on the asymmetric strength. On the other hand, when the asymmetric strength is intermediate, a so-called spin-stripe state (spins align parallel on the same legs, but antiparallel on rungs) is discovered, and the system experiences a first-order phase transition from the FM state to the spin-stripe state upon increasing frustration. Numerical evidence is presented for interpretation of the phase diagram in terms of frustration and the asymmetric strength.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. L. Balents, Science 464, 199 (2010)

    Google Scholar 

  2. T.-H. Han, J.S. Helton, S. Chu, D.G. Nocera, J.A. Rodriguez-Rivera, C. Broholm, Y.S. Lee, Nature 492, 406 (2012)

    Article  ADS  Google Scholar 

  3. S. Tang, J.E. Hirsch, Phys. Rev. B 39, 4548 (1989)

    Article  ADS  Google Scholar 

  4. E. Manousakis, Rev. Mod. Phys. 63, 1 (1991)

    Article  ADS  Google Scholar 

  5. E. Dagotto, Rev. Mod. Phys. 66, 763 (1994)

    Article  ADS  Google Scholar 

  6. E. Dagotto, A. Moreo, Phys. Rev. B 39, 4744 (1989)

    Article  ADS  Google Scholar 

  7. H.J. Schulz, T.A.L. Ziman, D. Poilblanc, J. Phys. I Fr. 6, 675 (1996)

    Article  Google Scholar 

  8. J. Richter, J. Schulenburg, Eur. Phys. J. B 73, 117 (2010)

    Article  ADS  Google Scholar 

  9. H.-C. Jiang, H. Yao, L. Balents, Phys. Rev. B 86, 024424 (2012)

    Article  ADS  Google Scholar 

  10. P.W. Anderson, Science 235, 1196 (1987)

    Article  ADS  Google Scholar 

  11. P.A. Lee, N. Nagaosa, X.-G. Wen, Rev. Mod. Phys. 78, 17 (2006)

    Article  ADS  Google Scholar 

  12. S.R. White, R.M. Noack, D.J. Scalapino, Phys. Rev. Lett. 73, 886 (1994)

    Article  ADS  Google Scholar 

  13. E. Dagotto, T.M. Rice, Science 271, 618 (1996)

    Article  ADS  Google Scholar 

  14. M. Uehara, T. Nagata, J. Akimitsu, H. Takahashi, N. Mpri, K. Kinoshita, J. Phys. Soc. Jpn 65, 2764 (1996)

    Article  ADS  Google Scholar 

  15. X. Wang, Mod. Phys. Lett. B 14, 327 (2000)

    Article  ADS  Google Scholar 

  16. E.H. Kim, O. Legeza, J. Solyom, Phys. Rev. B 77, 205121 (2008)

    Article  ADS  Google Scholar 

  17. G. Fáth, O. Legeza, J. Sólyom, Phys. Rev. B 63, 134403 (2001)

    Article  ADS  Google Scholar 

  18. H.-H. Hung, C.-D. Gong, Y.-C. Chen, M.-F. Yang, Phys. Rev. B 73, 224433 (2006)

    Article  ADS  Google Scholar 

  19. T. Hakobyan, Phys. Rev. B 75, 214421 (2007)

    Article  ADS  Google Scholar 

  20. B.W. Ramakko, M. Azzouz, Phys. Rev. B 76, 064419 (2007)

    Article  ADS  Google Scholar 

  21. G.-H. Liu, H.-L. Wang, G.-S. Tian, Phys. Rev. B 77, 214418 (2008)

    Article  ADS  Google Scholar 

  22. O.A. Starykh, L. Balents, Phys. Rev. Lett. 93, 127202 (2004)

    Article  ADS  Google Scholar 

  23. T. Hikihara, O.A. Starykh, Phys. Rev. B 81, 064432 (2010)

    Article  ADS  Google Scholar 

  24. S. Dong, W. Rui, L. Guang-Hua, T. Guang-Shan, Chin. Phys. B 19, 077503 (2010)

    Article  ADS  Google Scholar 

  25. W. Rui, L. Guang-Hua, T. Guang-Shan, Commun. Theor. Phys. 55, 1102 (2011)

    Article  ADS  Google Scholar 

  26. T. Barnes, E. Dagotto, J. Riera, E.S. Swanson, Phys. Rev. B 47, 3196 (1993)

    Article  ADS  Google Scholar 

  27. T. Tonegawa, I. Harada, J. Phys. Soc. Jpn 58, 2902 (1989)

    Article  ADS  Google Scholar 

  28. E. Plekhanov, A. Avella, F. Mancini, Eur. Phys. J. B 77, 381 (2010)

    Article  ADS  Google Scholar 

  29. R. Bursill, G.A. Gehring, D.J.J. Farnell, J.B. Parkinson, T. Xiang, C. Zeng, J. Phys.: Condens. Matter 7, 8605 (1995)

    ADS  Google Scholar 

  30. T. Vekua, A. Honecker, H.-J. Mikeska, F. Heidrich-Meisner, Phys. Rev. B 76, 174420 (2007)

    Article  ADS  Google Scholar 

  31. F. Heidrich-Meisner, A. Honecker, T. Vekua, Phys. Rev. B 74, 020403 (2006)

    Article  ADS  Google Scholar 

  32. F. Heidrich-Meisner, I.P. McCulloch, A.K. Kolezhuk, Phys. Rev. B 80, 144417 (2009)

    Article  ADS  Google Scholar 

  33. T. Hikihara, L. Kecke, T. Momoi, A. Furusaki, Phys. Rev. B 78, 144404 (2008)

    Article  ADS  Google Scholar 

  34. J. Sudan, A. Lüscher, A.M. Läuchli, Phys. Rev. B 80, 140402 (2009)

    Article  ADS  Google Scholar 

  35. K. Hida, K. Takano, H. Suzuki, J. Phys. Soc. Jpn 82, 064703 (2013)

    Article  ADS  Google Scholar 

  36. R. Jafari, A. Langari, Phys. Rev. B 76, 014412 (2007)

    Article  ADS  Google Scholar 

  37. H.T. Lu, Y.J. Wang, S. Qin, T. Xiang, Phys. Rev. B 74, 134425 (2006)

    Article  ADS  Google Scholar 

  38. S.L. Drechsler, J. Richter, A.A. Gippius, A. Vasiliev, A.A. Bush, A.S. Moskvin, J. Malek, Y. Prots, W. Schnelle, H. Rosner, Europhys. Lett. 73, 83 (2006)

    Article  ADS  Google Scholar 

  39. M. Enderle, C. Mukherjee, B. Fak, R.K. Kremer, J.-M. Broto, H. Rosner, S.-L. Drechsler, J. Richter, J. Malek, A. Prokofiev et al., Europhys. Lett. 70, 237 (2005)

    Article  ADS  Google Scholar 

  40. M. Hase, H. Kuroe, K. Ozawa, O. Suzuki, H. Kitazawa, G. Kido, T. Sekine, Phys. Rev. B 70, 104426 (2004)

    Article  ADS  Google Scholar 

  41. J. Sirker, V.Y. Krivnov, D.V. Dmitriev, A. Herzog, O. Janson, S. Nishimoto, S.-L. Drechsler, J. Richter, Phys. Rev. B 84, 144403 (2011)

    Article  ADS  Google Scholar 

  42. S. Furukawa, M. Sato, A. Furusaki, Phys. Rev. B 81, 094430 (2010)

    Article  ADS  Google Scholar 

  43. S. Furukawa, M. Sato, S. Onoda, Phys. Rev. Lett. 105, 257205 (2010)

    Article  ADS  Google Scholar 

  44. S. Furukawa, M. Sato, S. Onoda, A. Furusaki, Phys. Rev. B 86, 094417 (2012)

    Article  ADS  Google Scholar 

  45. G.I. Japaridze, A. Langari, S. Mahdavifar, J. Phys.: Condens. Matter 19, 076201 (2007)

    ADS  Google Scholar 

  46. H. Yamaguchi, K. Iwase, T. Ono, T. Shimokawa, H. Nakano, Y. Shimura, N. Kase, S. Kittaka, T. Sakakibara, T. Kawakami et al., Phys. Rev. Lett. 110, 157205 (2013)

    Article  ADS  Google Scholar 

  47. S. Chen, H. Büttner, J. Voit, Phys. Rev. Lett. 87, 087205 (2001)

    Article  ADS  Google Scholar 

  48. F.H.L. Essler, T. Kuzmenko, I.A. Zaliznyak, Phys. Rev. B 76, 115108 (2007)

    Article  ADS  Google Scholar 

  49. D.N. Aristov, C. Brunger, F.F. Assaad, M.N. Kiselev, A. Weichselbaum, S. Capponi, F. Alet, Phys. Rev. B 82, 174410 (2010)

    Article  ADS  Google Scholar 

  50. D. Sen, B.S. Shastry, R.E. Walstedt, R. Cava, Phys. Rev. B 53, 6401 (1996)

    Article  ADS  Google Scholar 

  51. T. Nakamura, K. Kubo, Phys. Rev. B 53, 6393 (1996)

    Article  ADS  Google Scholar 

  52. T. Nakamura, S. Takada, Phys. Rev. B 55, 14413 (1997)

    Article  ADS  Google Scholar 

  53. D.V. Dmitriev, V.Ya. Krivnov, J. Phys.: Condens. Matter 28, 506002 (2016)

    Google Scholar 

  54. K. Okamoto, T. Tonegawa, Y. Takahashi, M. Kaburagi, J. Phys. Condens. Matter 11, 10485 (1999)

    Article  ADS  Google Scholar 

  55. H.Q. Lin, Phys. Rev. B 42, 6561 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  56. A.L. Malvezzi, Braz. J. Phys. 33, 55 (2003)

    Article  ADS  Google Scholar 

  57. S.R. White, Phys. Rev. Lett. 69, 2863 (1992)

    Article  ADS  Google Scholar 

  58. S.R. White, Phys. Rev. B 48, 10345 (1993)

    Article  ADS  Google Scholar 

  59. S.R. White, Phys. Rep. 301, 187 (1998)

    Article  ADS  Google Scholar 

  60. N. Shibata, J. Phys. A: Math. Gen. 36, R381 (2003)

    Article  ADS  Google Scholar 

  61. U. Schollwök, Rev. Mod. Phys. 77, 259 (2005)

    Article  ADS  Google Scholar 

  62. Y.C. Li, H.Q. Lin, New J. Phys. 14, 063019 (2012)

    Article  ADS  Google Scholar 

  63. S.K. Pati, S. Ramasesha, D. Sen, Phys. Rev. B 55, 8894 (1997)

    Article  ADS  Google Scholar 

  64. C. Wu, B. Chen, X. Dai, Y. Yu, Z.-B. Su, Phys. Rev. B 60, 1057 (1999)

    Article  ADS  Google Scholar 

  65. N.B. Ivanov, J. Richter, Phys. Rev. B 69, 214420 (2004)

    Article  ADS  Google Scholar 

  66. L.E. Reichl, A Modern Course in Statistical Physics (John Wiley and Sons, New York, 1998)

  67. H.-H. Hung, Y. Wang, C.D. Batista, C. Wu, Phys. Rev. B 84, 054406 (2011)

    Article  ADS  Google Scholar 

  68. C.D. Batista, Phys. Rev. B 80, 180406 (2009)

    Article  ADS  Google Scholar 

  69. K. Okunishi, J. Phys. Soc. Jpn 77, 114004 (2008)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Physics Science and Technology, Yangzhou University, Yangzhou, 225002, P.R. China

    Lihua Pan, Depeng Zhang & Yong-Jun Liu

  2. Department of Physics, The University of Texas, Austin, TX, 78712, USA

    Hsiang-Hsuan Hung

Authors
  1. Lihua Pan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Depeng Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Hsiang-Hsuan Hung
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Yong-Jun Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yong-Jun Liu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Pan, L., Zhang, D., Hung, HH. et al. Phase diagram of the frustrated asymmetric ferromagnetic spin ladder. Eur. Phys. J. B 90, 105 (2017). https://doi.org/10.1140/epjb/e2017-70716-5

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2017-70716-5

Keywords

Search

Navigation