Intrinsic finite-size effects in the two-dimensional XY model with irrational frustration

Physical Review Letters

Volumn 85, Issue 16, 2000, Pages 3484-3487

  Park, Sung Yong ^a,b   Choi, M Y ^b   Kim, Beom Jun ^c   Jeon, Gun Sang ^b   Chung, Jean S ^d  

^a HARVARD UNIVERSITY   (United States)

^b Seoul National University   (South Korea)

^c UMEÅ UNIVERSITY   (Sweden)

^d Chungbuk National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; GLASS TRANSITION; MAGNETIC FIELDS; MONTE CARLO METHODS; RELAXATION PROCESSES; SPECIFIC HEAT; TWO DIMENSIONAL;

FIBONACCI NUMBERS; FREE BOUNDARY CONDITIONS; INTRINSIC FINITE SIZE EFFECTS; IRRATIONAL FRUSTRATION; PERIODIC BOUNDARY CONDITIONS; ZERO TEMPERATURE GLASS TRANSITION;

MATHEMATICAL MODELS;

EID: 18244416524     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.3484     Document Type: Article

References (24)

1. For a list of references, see, e.g., (a) Proceedings of the 2nd CTP Workshop on Statistical Physics: KT Transition and Superconducting Arrays, edited by D. Kim, J. S. Chung, and M. Y. Choi (Min-Eum Sa, Seoul, 1993); (b) Proceedings of the ICTP Workshop on Josephson Junction Arrays, edited by H. A. Cerdeira and S. R. Shenoy [Physica (Amsterdam) 222B, 253 (1996)].
2. For a list of references, see, e.g., (a) Proceedings of the 2nd CTP Workshop on Statistical Physics: KT Transition and Superconducting Arrays, edited by D. Kim, J. S. Chung, and M. Y. Choi (Min-Eum Sa, Seoul, 1993); (b) Proceedings of the ICTP Workshop on Josephson Junction Arrays, edited by H. A. Cerdeira and S. R. Shenoy [Physica (Amsterdam) 222B, 253 (1996)].
3. M. Y. Choi and D. Stroud, Phys. Rev. B 32, 7532 (1985).
4. E. Granato, Phys. Rev. B 54, R9655 (1996).
5. D. S. Fisher, M. P. A. Fisher, and D. A. Huse, Phys. Rev. B 43, 130 (1991).
6. T. C. Halsey, Phys. Rev. Lett. 55, 1018 (1985).
7. R. W. Reid, S. K. Bose, and B. Mitrović, Phys. Rev. B 54, R740 (1996); J. Phys. Condens. Matter 9, 7141 (1997). Here quasiperiodic arrays were also considered and no essential difference was observed, in agreement with Ref. [20].
8. R. W. Reid, S. K. Bose, and B. Mitrović, Phys. Rev. B 54, R740 (1996); J. Phys. Condens. Matter 9, 7141 (1997). Here quasiperiodic arrays were also considered and no essential difference was observed, in agreement with Ref. [20].
9. B. Kim and S. J. Lee, Phys. Rev. Lett. 78, 3709 (1997).
10. C. Denniston and C. Tang, Phys. Rev. B 60, 3163 (1999).
11. P. Gupta, S. Teitel, and M. J. P. Gingras, Phys. Rev. Lett. 80, 105 (1998).
12. M. Y. Choi and D. Stroud, Phys. Rev. B 35, 7109 (1987).
13. B. A. Berg and T. Celik, Phys. Rev. Lett. 69, 2292 (1992); J. Lee, ibid. 71, 211 (1993); S. Y. Park and M. Y. Choi (to be published).
14. B. A. Berg and T. Celik, Phys. Rev. Lett. 69, 2292 (1992); J. Lee, ibid. 71, 211 (1993); S. Y. Park and M. Y. Choi (to be published).
15. B. A. Berg and T. Celik, Phys. Rev. Lett. 69, 2292 (1992); J. Lee, ibid. 71, 211 (1993); S. Y. Park and M. Y. Choi (to be published).
16. J. L. Cardy, Scaling and Renormalization in Statistical Physics (Cambridge University Press, Cambridge, 1996).
17. V. Privman, Finite-Size Scaling Analysis and Numerical Simulation of Statistical Systems (World Scientific, Singapore, 1992).
18. P. Peczak and D. P. Landau, Phys. Rev. B 39, 11 932 (1989).
19. P. Olsson, Phys. Rev. Lett. 75, 2758 (1995).
20. There is controversy about the value of the exponent ν in the f = 1/2 case. See, e.g., G. S. Jeon, S. Y. Park, and M. Y. Choi, Phys. Rev. B 55, 14 088 (1997). Here our purpose is not to distinguish which value is correct but merely to demonstrate the difference between PBC and FBC.
21. M. Y. Choi and S. Doniach, Phys. Rev. B 31, 4516 (1985).
22. For the detailed method, see, e.g., B. J. Kim, M. Y. Choi, S. Ryu, and D. Stroud, Phys. Rev. B 56, 6007 (1997).
23. R. A. Hyman, M. Wallin, M. P. A. Fisher, S. M. Girvin, and A. P. Young, Phys. Rev. B 51, 15 304 (1995).
24. J. S. Chung, M. Y. Choi, and D. Stroud, Phys. Rev. B 38, 11 476 (1988).