Finite-size corrections and scaling for the triangular lattice dimer model with periodic boundary conditions

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

Volumn 73, Issue 1, 2006, Pages

  Izmailian, N Sh ^a,b,c   Oganesyan, K B ^a,b   Wu, Ming Chya ^a,b   Hu, Chin Kun ^a  

^a INSTITUTE OF PHYSICS   (Taiwan)

^b YEREVAN PHYSICS INSTITUTE   (Armenia)

^c NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ASPECT RATIO; BOUNDARY CONDITIONS; FUNCTIONS; MATHEMATICAL MODELS;

DIMER MODEL; FINITE-SIZE CORRECTIONS;

DIMERS;

EID: 32844462750     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.016128     Document Type: Article

References (39)

1. For a review, see Finite-size Scaling and Numerical Simulation of Statistical Systems, edited by, V. Privman, (World Scientific, Singapore, 1990).
2. C.-K. Hu, C.-Y. Lin, and J.-A. Chen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.193 75, 193 (1995);
3. C.-K. Hu, C.-Y. Lin, and J.-A. Chen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.2786 75, 2786 (E) (1995);
4. C.-K. Hu, C.-Y. Lin, and J.-A. Chen, Physica A PHYADX 0378-4371 10.1016/0378-4371(95)00273-A 221, 80 (1995);
5. C.-K. Hu and C.-Y. Lin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.8 77, 8 (1996);
6. C.-K. Hu and F.-G. Wang, J. Korean Phys. Soc. KPSJAS 0374-4884 31, S271 (1997);
7. H.-P. Hsu, S. C. Lin, and C.-K. Hu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.016127 64, 016127 (2001);
8. H. Watanabe, S. Yukawa, N. Ito, and C.-K. Hu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.190601 93, 190601 (2004);
9. H. Watanabe and C.-K. Hu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.258902 95, 258902 (2005).
10. C.-K. Hu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.29.5103 29, 5103 (1984);
11. F. G. Wang and C.-K. Hu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.2310 56, 2310 (1997);
12. Y. Okabe, K. Kaneda, M. Kikuchi, and C.-K. Hu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.1585 59, 1585 (1999);
13. Y. Tomita, Y. Okabe, and C.-K. Hu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.2716. 60, 2716 (1999);
14. C.-K. Hu, J.-A. Chen, and C.-Y. Lin, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00570-6 266, 27 (1999).
15. C.-K. Hu, J. A. Chen, N. Sh. Izmailian, and P. Kleban, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.6491 60, 6491 (1999);
16. N. Sh. Izmailian and C.-K. Hu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5160 86, 5160 (2001);
17. W. T. Lu and F. Y. Wu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63. 026107 63, 026107 (2001);
18. K. Kaneda and Y. Okabe, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2134 86, 2134 (2001);
19. N. Sh. Izmailian and C.-K. Hu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.036103 65, 036103 (2002);
20. J. Salas, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/7/307 34, 1311 (2001);
21. J. Salas, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/8/304 35, 1833 (2002);
22. W. Janke and R. Kenna, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65. 064110 65, 064110 (2002);
23. N. Sh. Izmailian, K. B. Oganesyan, and C.-K. Hu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.056132 65, 056132 (2002).
24. E. Ivashkevich, N. Sh. Izmailian, and C.-K. Hu, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/27/302 35, 5543 (2002).
25. N. Sh. Izmailian, K. B. Oganesyan, and C.-K. Hu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.066114 67, 066114 (2003).
26. For a recent review, see F. Y. Wu, e-print cond-mat/0303251.
27. P. W. Kasteleyn, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703953 4, 287 (1963).
28. R. E. Hartwig, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1704931 7, 286 (1966);
29. M. E. Fisher and J. Stephenson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.132.1411 132, 1411 (1963).
30. F. Y. Wu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.18.605 18, 605 (1967).
31. P. Fendley, R. Moessner, and S. L. Sondhi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.214513 66, 214513 (2002).
32. P. W. Kasteleyn, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(61)90063-5 27, 1209 (1961).
33. A. E. Ferdinand, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1705162 8, 2332 (1967).
34. D. Grensing and G. Grensing, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.525708 24, 620 (1983);
35. V. Elser, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/17/7/018 17, 1509 (1984).
36. N. Sh. Izmailian, V. B. Priezzhev, P. Ruelle, and C.-K. Hu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.260602 95, 260602 (2005).
37. C. Nash and D. O'Connor, Ann. Phys. ANPYA2 0003-3804 273, 72 (1999).
38. V. Privman and J. Rudnick, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/19/18/018 19, L1215 (1986).
39. M.-C. Wu, C.-K. Hu, and N. Sh. Izmailian, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.065103 67, 065103 (R) (2003).