Generalized directed loop method for quantum Monte Carlo simulations

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 71, Issue 3, 2005, Pages

  Alet, Fabien ^a   Wessel, Stefan ^a   Troyer, Matthias ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

DIRECT LOOP METHOD; DIRECTED LOOPS; OPTIMAL CONSTRUCTION SCHEMES; QUANTUM MONTE CARLO SIMULATION;

ALGORITHMS; COMPUTER SIMULATION; CORRELATION METHODS; HAMILTONIANS; MAGNETIC FIELDS; MAGNETIZATION; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; MONTE CARLO METHODS; PARAMETER ESTIMATION;

QUANTUM THEORY;

EID: 37649028656     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.036706     Document Type: Article

References (35)

1. R. H. Swendsen and J.-S. Wang, Phys. Rev. Lett. 58, 86 (1987); U. Wolff, ibid. 62, 361 (1989).
2. R. H. Swendsen and J.-S. Wang, Phys. Rev. Lett. 58, 86 (1987); U. Wolff, ibid. 62, 361 (1989).
3. H. G. Evertz, G. Lana, and M. Marcu, Phys. Rev. Lett. 70, 875 (1993).
4. H. G. Evertz, Adv. Phys. 52, 1 (2003).
5. B. B. Beard and U. J. Wiese, Phys. Rev. Lett. 77, 5130 (1996).
6. V. A. Kashurnikov, N. V. Prokof'ev, B. V. Svistunov, and M. Troyer, Phys. Rev. B 59, 1162 (1999).
7. N. V. Prokof'ev, B. V. Svistunov, and I. S. Tupitsyn, Phys. Lett. A 238, 253 (1998); JETP 87, 310 (1998).
8. N. V. Prokof'ev, B. V. Svistunov, and I. S. Tupitsyn, Phys. Lett. A 238, 253 (1998); JETP 87, 310 (1998).
9. A. W. Sandvik and J. Kurkijärvi, Phys. Rev. B 43, 5950 (1991); A. W. Sandvik, J. Phys. A 25, 3667 (1992).
10. A. W. Sandvik and J. Kurkijärvi, Phys. Rev. B 43, 5950 (1991); A. W. Sandvik, J. Phys. A 25, 3667 (1992).
11. D. C. Handscomb, Proc. Cambridge Philos. Soc. 58, 594 (1962); 60, 115 (1964).
12. D. C. Handscomb, Proc. Cambridge Philos. Soc. 58, 594 (1962); 60, 115 (1964).
13. A. W. Sandvik, Phys. Rev. B 59, R14157 (1999).
14. M. Troyer, F. Alet, S. Trebst, and S. Wessel, in The Monte Carlo Method in the Physical Sciences, edited by James E. Gubernatis, AIP Conf. Proc. No. 690 (AIP, Melville, NY, 2003), p. 156.
15. A. W. Sandvik, R. R. P. Sing, and D. K. Campbell, Phys. Rev. B 56, 14510 (1997).
16. O. F. Syljuåsen and A. W. Sandvik, Phys. Rev. E 66, 046701 (2002).
17. O. F. Syljuåsen, Phys. Rev. E 67, 046701 (2003).
18. K. Harada and N. Kawashima, Phys. Rev. E 66, 056705 (2002); 67, 039903(E) (2003).
19. K. Harada and N. Kawashima, Phys. Rev. E 66, 056705 (2002); 67, 039903(E) (2003).
20. J. Smakov, K. Harada, and N. Kawashima, Phys. Rev. E 68, 046708 (2003).
21. S. Bergkvist, P. Henelius, and A. Rosengren, Phys. Rev. B 66, 134407 (2002).
22. M. V. Zyubin and V. A. Kashurnikov, Phys. Rev. E 69, 036701 (2004).
23. F. Alet and E. Sørensen, Phys. Rev. E 68, 026702 (2003).
24. O. Nohadani, S. Wessel, B. Normand, and S. Haas, Phys. Rev. B 69, 220402 (2004).
25. N. Kawashima and K. Harada, J. Phys. Soc. Jpn. 73, 1379 (2004).
26. In principle, both the head and tail of the worm can move freely, but in this work, we restrict ourselves for simplicity to the case where the tail remains still.
27. 1).
28. F. Alet and E. Sørensen, Phys. Rev. E 67, 015701(R) (2003).
29. A. Dorneich and M. Troyer, Phys. Rev. E 64, 066701 (2001).
30. G. B. Dantzig, Linear Programming and Extensions (Princeton University Press, Princeton, 1963).
31. N. Kawashima, in The Monte Carlo Method in the Physical Sciences (Ref. [10]), p. 216.
32. S. Todo and K. Kato, Phys. Rev. Lett. 87, 047203 (2001).
33. L. Pollet et al., Phys. Rev. E 70, 056705 (2004).
34. F. Alet et al., e-print cond-mat/0410407; M. Troyer, B. Ammon, and E. Heeb, Lect. Notes Comput. Sci. 1505, 191 (1998). Source codes can be obtained from http://alps.comp-phys.org/
35. F. Alet et al., e-print cond-mat/0410407; M. Troyer, B. Ammon, and E. Heeb, Lect. Notes Comput. Sci. 1505, 191 (1998). Source codes can be obtained from http://alps.comp-phys.org/