Loop algorithm for Heisenberg models with biquadratic interaction and phase transitions in two dimensions

Journal of the Physical Society of Japan

Volumn 70, Issue 1, 2001, Pages 13-16

  Harada, Kenji ^a   Kawashima, Naoki ^b  

^a KYOTO UNIVERSITY   (Japan)

^b TOKYO METROPOLITAN UNIVERSITY   (Japan)

Author keywords

Biquadratic interaction; Heisenberg model; Loop algorithm; One dimension; Phase transition; Quantum Monte Carlo; Two dimensions

Indexed keywords

EID: 0035585458     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.70.13     Document Type: Article

References (14)

1. G. V. Uimin: JETP Lett. 12 (1970) 225.
2. C. K. Lai: J. Math. Phys. 15 (1974) 1675.
3. B. Sutherland: Phys. Rev. B 12 (1975) 3795.
4. L. A. Takhtajan: Phys. Lett. 87 A (1982) 479.
5. H. M. Babujian: Phys. Lett. 90 A (1982) 479.
6. H. M. Babujian: Nuclear Physics B 215 (1983) 317.
7. M. N. Barber and M. T. Batchelor: Phys. Rev. E 40 (1989) 4621.
8. A. Klümper: Euro. Phys. Lett. 9 (1989) 815.
9. A. Klümper: J. Phys. A: Math. Gen. 23 (1990) 809.
10. P. Millet, F. Mila, F. C. Zhang, M. Mambrini, A. B. Van Oosten, V. A. Pashchenko, A. Sulpice and A. Stepanov: Phys. Rev. Lett. 83 (1999) 4176.
11. J. Lou, T. Xiang and Z. Su: preprint (cond-mat 0003102).
12. N. Kawashima and J. E. Gubernatis: Phys. Rev. Lett. 73 (1994) 1295.
13. K. Harada, M. Troyer and N. Kawashima: J. Phys. Soc. Jpn. 67 (1998) 1130.
14. J. B. Parkinson: J. Phys. C: Solid State Phys. 20 (1987) L1029.