Methods to determine the Hausdorff dimension of vortex loops in the three-dimensional XY model

Physical Review B - Condensed Matter and Materials Physics

Volumn 74, Issue 10, 2006, Pages

  Camarda, M ^a,b,c   Siringo, F ^a,b,c   Pucci, R ^a,b,c   Sudbo A ^d   Hove, J ^d  

^a UNIVERSITY OF CATANIA   (Italy)

^b CNR   (Italy)

^c INFN SEZIONE DI CATANIA   (Italy)

^d NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33748695542     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.74.104507     Document Type: Article

References (31)

1. P. W. Anderson, Basic Notions in Condensed Matter (Addison-Wesley, Redwood City, CA, 1984).
2. Z. Tesanović, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59. 6449 59, 6449 (1999).
3. A. K. Nguyen and A. Sudbø, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1999-00332-7 46, 780 (1999).
4. A. K. Nguyen and A. Sudbø, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.15307 60, 15307 (1999).
5. J. Hove and A. Sudbø, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.3426 84, 3426 (2000).
6. S. Mo, J. Hove, and A. Sudbø, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.104501 65, 104501 (2002).
7. M. Peskin, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(78)90252- X 113, 122 (2002).
8. J. Hove, S. Mo, and A. Sudbø, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.2368 85, 2368 (2000).
9. M. E. Fisher, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/30/2/ 306 30, 615 (1967).
10. D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor & Francis, London, 1991).
11. C. M. Fortuin and P. W. Kasteleyn, "On the random-cluster model", Physica (Utrecht) PHYSAG 0031-8914 10.1016/0031-8914(72)90045-6 57, 536 (1972).
12. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).
13. N. V. Prokof'ev and B. V. Svistunov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.219701 96, 219701 (2006).
14. W. Janke and A. M. J. Schakel, cond-mat/0508734 (unpublished).
15. C. D. Lorenz and R. M. Ziff, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.230 57, 230 (1998).
16. J. Hoshen and R. Kopelman, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.14.3438 14, 3438 (1976).
17. M. B. Isichenko, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.64. 961 64, 961 (1992).
18. Y.-H. Li and S. Teitel, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.9122 40, 9122 (1989).
19. D. Austin, E. J. Copeland, and R. J. Rivers, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.49.4089 49, 4089 (1994).
20. R. Folk and Yu. Holovatch, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/29/13/014 29, 3409 (1996).
21. I. F. Herbut and Z. Tesanović, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.4588 76, 4588 (1996).
22. J. S. Kang, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.10.3455 10, 3455 (1974).
23. B. I. Halperin, T. C. Lubensky, and S. K. Ma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.32.292 32, 292 (1974).
24. F. S. Nogueira, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.14559 62, 14559 (2000).
25. H. Kleinert and F. S. Nogueira, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(02)01075-1 651, 361 (2003).
26. H. Kleinert and A. M. J. Schakel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.097001 90, 097001 (2003).
27. P. G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, London, 1979), Chap..
28. J. Hove and A. Sudbo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.219702 96, 219702 (2006).
29. H. Kleinert, Gauge Fields in Condensed Matter (World Scientific, Singapore, 1989), Vol. 1.
30. W. Janke and A. M. J. Schakel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.135702 95, 135702 (2005).
31. W. Janke and A. M. J. Schakel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.036703 71, 036703 (2005).