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Scaling relations of three-dimensional random-exchange quantum antiferromagnets

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Abstract

The thermal and ground state properties of a class of three-dimensional (3D) random-exchange spin-1/2 antiferromagnets are studied using first principles quantum Monte Carlo method. Our motivation is to examine whether the newly discovered universal scaling properties, which connect the Néel temperature and the staggered magnetization density, for the clean 3D quantum dimerized Heisenberg models remain valid for the random-exchange models considered here. Remarkably, similar to the clean systems, our Monte Carlo results indicate that these scaling relations also emerge for the considered models with the introduced antiferromagnetic randomness. The scope of the validity of these scaling properties for the 3D quantum antiferromagnets is investigated as well.

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References

  1. S. Chakravarty, B.I. Halperin, D.R. Nelson, Phys. Rev. Lett. 60, 1057 (1988)

    Article  ADS  Google Scholar 

  2. F.D.M. Haldane, Phys. Rev. Lett. 61, 1029 (1988)

    Article  MathSciNet  ADS  Google Scholar 

  3. J.D. Reger, A.P. Young, Phys. Rev. B 37, R5978 (1988)

    Article  ADS  Google Scholar 

  4. S. Chakravarty, B.I. Halperin, D.R. Nelson, Phys. Rev. B 39, 2344 (1989)

    Article  ADS  Google Scholar 

  5. R.R.P. Singh, Phys. Rev. B 39, 9760 (1989)

    Article  ADS  Google Scholar 

  6. R.R.P. Singh, Phys. Rev. B 41, 4873 (1990)

    Article  ADS  Google Scholar 

  7. W.H. Zheng, J. Oitmaa, C.J. Hamer, Phys. Rev. B 43, 8321 (1991)

    Article  ADS  Google Scholar 

  8. A.V. Chubukov, S. Sachdev, J. Ye, Phys. Rev. B 49, 11919 (1994)

    Article  ADS  Google Scholar 

  9. J. Oitmaa, C.J. Hamer, Z. Weihong, Phys. Rev. B 50, 3877 (1994)

    Article  ADS  Google Scholar 

  10. M. Troyer, H. Kantani, K. Ueda, Phys. Rev. Lett. 76, 3822 (1996)

    Article  ADS  Google Scholar 

  11. B.B. Beard, U.-J. Wiese, Phys. Rev. Lett. 77, 5130 (1996)

    Article  ADS  Google Scholar 

  12. A.W. Sandvik, Phys. Rev. B 56, 11678 (1997)

    Article  ADS  Google Scholar 

  13. Munehisa Matsumoto, Chitoshi Yasuda, Synge Todo, Hajime Takayama, Phys. Rev. B 65, 014407 (2002)

    Article  ADS  Google Scholar 

  14. L. Wang, K.S.D. Beach, A.W. Sandvik, Phys. Rev. B 73, 014431 (2006)

    Article  ADS  Google Scholar 

  15. K.-K. Ng, T.K. Lee, Phys. Rev. Lett. 97, 127204 (2006)

    Article  ADS  Google Scholar 

  16. T. Pardini, R.R.P. Singh, A. Katanin, O.P. Sushkov, Phys. Rev. B 78, 024439 (2008)

    Article  ADS  Google Scholar 

  17. F.-J. Jiang, F. Kämpfer, M. Nyfeler, Phys. Rev. B 80, 033104 (2009)

    Article  ADS  Google Scholar 

  18. S. Sachdev, C. Buragohain, M. Vojta, Science 286, 2479 (1999)

    Article  Google Scholar 

  19. M. Vojta, C. Buragohain, S. Sachdev, Phys. Rev. B 61, 15152 (2000)

    Article  ADS  Google Scholar 

  20. S. Sachdev, M. Troyer, M. Vojta, Phys. Rev. Lett. 86, 2617 (2001)

    Article  ADS  Google Scholar 

  21. M. Troyer, Prog. Theor. Phys. Suppl. 145, 326 (2002)

    Article  ADS  Google Scholar 

  22. S. Sachdev, M. Vojta, Phys. Rev. B 68, 064419 (2003)

    Article  ADS  Google Scholar 

  23. O.P. Sushkov, Phys. Rev. B 68, 094426 (2003)

    Article  ADS  Google Scholar 

  24. K.H. Höglund, A.W. Sandvik, Phys. Rev. Lett. 91, 077204 (2003)

    Article  ADS  Google Scholar 

  25. K.H. Höglund, A.W. Sandvik, Phys. Rev. B 70, 024406 (2004)

    Article  ADS  Google Scholar 

  26. K.H. Höglund, A.W. Sandvik, S. Sachdev, Phys. Rev. Lett. 98, 087203 (2007)

    Article  ADS  Google Scholar 

  27. K.H. Höglund, A.W. Sandvik, Phys. Rev. Lett. 99, 027205 (2007)

    Article  ADS  Google Scholar 

  28. A.W. Sandvik, M. Vekic, Phys. Rev. Lett. 74, 1226 (1995)

    Article  ADS  Google Scholar 

  29. R. Melin, Y.-C. Lin, P. Lajko, H. Rieger, F. Iglói, Phys. Rev. B 65, 104415 (2002)

    Article  ADS  Google Scholar 

  30. Y.C. Lin, H. Rieger, F. Iglói, Phys. Rev. B 68, 024424 (2003)

    Article  ADS  Google Scholar 

  31. N. Laflorencie, S. Wessel, A. Läuchli, H. Rieger, Phys. Rev. B 73, 060403(R) (2006)

    Article  ADS  Google Scholar 

  32. Y.C. Lin, H. Rieger, N. Laflorencie, F. Iglói, Phys. Rev. B 74, 024427 (2006)

    Article  ADS  Google Scholar 

  33. T. Vojta, J. Low Temp. Phys. 161, 299 (2010)

    Article  ADS  Google Scholar 

  34. N. Cavadini, G. Heigold, W. Henggeler, A. Furrer, H.-U. Güdel, K. Krämer, H. Mutka, Phys. Rev. B 63, 172414 (2001)

    Article  ADS  Google Scholar 

  35. Ch. Rüegg, N. Cavadini, A. Furrer, H.-U. Güdel, K. Krämer, H. Mutka, A. Wildes, K. Habicht, P. Vorderwisch, Nature 423, 62 (2003)

    Article  ADS  Google Scholar 

  36. Ch. Rüegg et al., Phys. Rev. Lett. 100, 205701 (2008)

    Article  ADS  Google Scholar 

  37. J. Oitmaa, W. Zheng, J. Phys.: Condens. Matter 16, 8653 (2004)

    ADS  Google Scholar 

  38. O. Nohadani, S. Wessel, S. Haas, Phys. Rev. B 72, 024440 (2005)

    Article  ADS  Google Scholar 

  39. Y. Kulik, O.P. Sushkov, Phys. Rev. B 84, 134418 (2011)

    Article  ADS  Google Scholar 

  40. J. Oitmaa, Y. Kulik, O.P. Sushkov, Phys. Rev. B 85, 144431 (2012)

    Article  ADS  Google Scholar 

  41. S. Jin, A.W. Sandvik, Phys. Rev. B 85, 020409(R) (2012)

    Article  ADS  Google Scholar 

  42. M.-T. Kao, F.-J. Jiang, Eur. Phys. J. B 86, 419 (2013)

    Article  MathSciNet  ADS  Google Scholar 

  43. P. Merchant, B. Normand, K.W. Krämer, M. Boehm, D.F. McMorrow, Ch. Rüegger, Nat. Phys. 10, 373 (2014)

    Article  Google Scholar 

  44. M.-T. Kao, D.-R. Tan, F.-J. Jiang, unpublished

  45. M.-T. Kao, Ph.D. dissertation, National Taiwan Normal University, Taipei, Taiwan, 2014

  46. Nvsen Ma, Anders W. Sandvik, Dao-Xin Yao, Phys. Rev. B 90, 104425 (2014)

    Article  ADS  Google Scholar 

  47. A.W. Sandvik, Phys. Rev. B 66, R14157 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  48. A.W. Sandvik, Phys. Rev. B 66, 024418 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  49. D.-R. Tan, F.-J. Jiang, unpublished

  50. Y.Q. Qin, B. Normand, A.W. Sandvik, Z.Y. Meng, arXiv:1506.06073 (2015)

  51. H. Scammell, O. Sushkov, arXiv:1506.08934 (2015)

  52. G. Theodorou, M.H. Cohen, Phys. Rev. Lett. 37, 1014 (1976)

    Article  ADS  Google Scholar 

  53. D.C. Johnston, J.P. Stokes, D.P. Goshorn, J.T. Lewandowski, Phys. Rev. B 36, 4007 (1987)

    Article  ADS  Google Scholar 

  54. O.P. Vajk, P.K. Mang, M. Greven, P.M. Gehring, J.W. Lynn, Science 295, 169 (2002)

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, National Taiwan Normal University, 88, Sec.4, Ting-Chou Rd., 116, Taipei, Taiwan

    Deng-Ruei Tan & Fu-Jiun Jiang

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  1. Deng-Ruei Tan
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  2. Fu-Jiun Jiang
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Correspondence to Fu-Jiun Jiang.

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Tan, DR., Jiang, FJ. Scaling relations of three-dimensional random-exchange quantum antiferromagnets. Eur. Phys. J. B 88, 289 (2015). https://doi.org/10.1140/epjb/e2015-60536-0

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  • DOI: https://doi.org/10.1140/epjb/e2015-60536-0

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