Ising model on a hyperbolic plane with a boundary

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

Volumn 84, Issue 3, 2011, Pages

  Baek, Seung Ki ^a   Mäkelä, Harri ^a   Minnhagen, Petter ^a   Kim, Beom Jun ^b  

^a UMEÅ UNIVERSITY   (Sweden)

^b Sungkyunkwan University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ISING MODEL; STATISTICAL MECHANICS; TRANSFER MATRIX METHOD;

CRITICAL BEHAVIOR; CRITICAL EXPONENT; FERROMAGNETIC ISING MODELS; HYPERBOLIC PLANE; MONTE CARLO CALCULATION; RENORMALIZATION GROUP; TRANSFER-MATRIX CALCULATIONS; TRANSITION POINT;

BINARY TREES;

EID: 84861934169     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.032103     Document Type: Article

References (17)

1. M. Plischke and B. Bergersen, Equilibrium Statistical Physics, 2nd ed. (World Scientific, Singapore, 1994).
2. F. Sausset and G. Tarjus, J. Phys. A zñ 1751-8113 10.1088/1751-8113/40/43/004 40, 12873 (2007).
3. H. Shima and Y. Sakaniwa, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/18/010 39, 4921 (2006).
4. K. Ueda, R. Kcrmar, A. Gendiar, and T. Nishino, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.76.084004 76, 084004 (2007).
5. S. K. Baek, P. Minnhagen, H. Shima, and B. J. Kim, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.011133 80, 011133 (2009).
6. R. Lyons, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.533179 41, 1099 (2000).
7. R. Méllin, J. C. A. d'Auriac, P. Chandra, and B. Douçot, J. Phys. A 0305-4470 10.1088/0305-4470/29/18/011 29, 5773 (1996).
8. J. C. A. d'Auriac, R. Méllin, P. Chandra, and B. Douçot, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/4/301 34, 675 (2001).
9. S. K. Baek, P. Minnhagen, and B. J. Kim, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.011124 79, 011124 (2009).
10. H. Shima and Y. Sakaniwa, J. Stat. Mech.: Theory Exp. 10.1088/1742-5468/2006/08/P08017 (2006) P08017.
11. T. Nogawa and T. Hasegawa, J. Phys. A JPHAC5 1751-8113 10.1088/1751-8113/42/14/145001 42, 145001 (2009).
12. P. Minnhagen and S. K. Baek, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.011113 82, 011113 (2010).
13. S. K. Baek and P. Minnhagen, Physica A PHYADX 0378-4371 10.1016/j.physa.2010.12.030 390, 1447 (2011).
14. U. Wolff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.361 62, 361 (1989).
15. S. D. Drell, M. Weinstein, and S. Yankielowicz, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.16.1769 16, 1769 (1977).
16. Y. Sakaniwa and H. Shima, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.021103 80, 021103 (2009).
17. M. Henkel, Conformal Invariance and Critical Phenomena (Springer-Verlag, Berlin, 2010).