Magnetic order and disorder in the frustrated quantum Heisenberg antiferromagnet in two dimensions

Journal de Physique I

Volumn 6, Issue 5, 1996, Pages 675-703

  Schulz, H J ^a   Ziman, T A L ^b   Poilblanc, D ^b  

^a UNIVERSITÉ PARIS SUD   (France)

^b European Theoretical Spectroscopy Facility   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; COMPUTER SIMULATION; ERROR ANALYSIS; MAGNETIC PERMEABILITY; MAGNETIZATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; NUMERICAL ANALYSIS; ORDER DISORDER TRANSITIONS; PHYSICAL PROPERTIES; QUANTUM THEORY;

FINITE SIZE SCALING ANALYSIS; FRUSTRATED QUANTUM HEISENBERG ANTIFERROMAGNET; GROUND STATE ENERGY; MAGNETIC ORDER PARAMETERS; NEEL TYPE ORDER; NONLINEAR SIGMA MODEL ANALOGY; QUANTUM MONTE CARLO CALCULATIONS; SPIN STIFFNESS; SPIN WAVE VELOCITY; SQUARE LATTICE;

ANTIFERROMAGNETIC MATERIALS;

EID: 0030134939     PISSN: 11554304     EISSN: None     Source Type: Journal    
DOI: 10.1051/jp1:1996236     Document Type: Article

References (43)

1. Inui M., Doniach S. and Gabay M., Phys. Rev. B 38 (1988) 6631.
2. Kubo K. and Kishi T., Phys. Rev. Lett. 61 (1987) 2585.
3. Anderson P.W., Phys. Rev. 86 (1952) 694.
4. Hasenfratz P. and Niedermayer F., Z. Phys. B 92 (1993) 91.
5. Bernu B., Lhuillier C. and Pierre L., Phys. Rev. Lett. 69 (1992) 2590.
6. Azaria P., Delamotte B. and Mouhanna D., Phys. Rev. Lett. 68 (1992) 1762.
7. Takahashi M., Phys. Rev. B 40 (1989) 2494.
8. Nishimori H. and Saika Y., J. Phys. Soc. Jpn. 59 (1990) 4454.
9. Mila F., Poilblanc D. and Bruder C., Phys. Rev. B 43 (1991) 7891.
10. Schulz H.J. and Ziman T.A.L., Europhys. Lett. 18 (1992) 355.
11. Chakravarty S., Halperin B.I. and Nelson D.R., Phys. Rev. B 39 (1989) 2344.
12. Einarsson T. and Johannesson H., Phys. Rev. B 43 (1991) 5867.
13. Manousakis E., Rev. Mod. Phys. 63 (1991) 1.
14. Barnes T., Int. J. Mod. Phys. C 2 (1991) 659.
15. We are extremely grateful to L. Pierre for suggesting this method.
16. On a recently available Cray C98, CPU times cited here typically are decreased by a factor six.
17. Dagotto E. and Moreo A., Phys. Rev. Lett. 63 (1989) 2148.
18. Figueiredo F. et al., Phys. Rev. B 41 (1990) 4619.
19. Lin H.Q., Phys. Rev. B 42 (1990) 6561.
20. Poilblanc D., Gagliano E., Bacci S. and Dagotto E., Phys. Rev. B 43 (1991) 10970.
21. Poilblanc D. and Dagotto E., Phys. Rev. B 45 (1991) 10111.
22. Runge K.J., Phys. Rev. B 45 (1992) 7229.
23. We are grateful to C. Lhuillier for pointing this out to us.
24. Neuberger H. and Ziman T.A.L., Phys. Rev. B 39 (1989) 2608.
25. Wiese U.-J. and Ying H.-P., Z. Phys. B 93 (1994) 147.
26. Singh R.R.P., Phys. Rev. B 39 (1989) 9760.
27. Weihong Z., Oitmaa J. and Hamer C.J., Phys. Rev. B 43 (1991) 8321.
28. 2 prefactor also shifts the critical value for the disappearance of Néel order down by approximately 0.05.
29. Singh R.R.P. and Huse D., Phys. Rev. B 40 (1989) 7247.
30. Press W.H., Flannery B.P., Teukolsky S.A. and Vetterling W.T., Numerical Recipes in C (Cambridge University Press, Cambridge, 1988) p. 523 ff.
31. Runge K.J., Phys. Rev. B 45 (1992) 12292.
32. Note that this is the correct form, as was used in reference [10]. In reference [24] the relation was misquoted.
33. Einarsson T. and Schulz H.J., Phys. Rev. B 51 (1995) 6151.
34. Fisher D.S., Phys. Rev. B 39 (1989) 11783.
35. Chandra P. and Doucot B., Phys. Rev. B 38 (1988) 9335.
36. Einarsson T., private communication.
37. Bergomi L., Thesis (Orsay), unpublished.
38. Peczak P., Ferrenberg A.M. and Landau D.P., Phys. Rev. B 43 (1991) 6087.
39. Einarsson T., Fröjdh P. and Johannesson H., Phys. Rev. B 45 (1992) 13121.
40. Nakamura T. and Hatano N., J. Phys. Soc. Jpn. 62 (1993) 3062.
41. Gelfand M.P., Singh R.R.P. and Huse D.A., Phys. Rev. B 40 (1989) 10801.
42. Sachdev S. and Ye J., Phys. Rev. Lett. 69 (1992) 2411.
43. Chubukov A.V., Sachdev S. and Ye J., preprint.