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We study a class of loop models, parameterized by a continuously varying loop fugacity n, on the hydrogen-peroxide lattice, which is a three-dimensional cubic lattice of coordination number 3.
R. B. Potts, Some generalized order-disorder transformations, Proc. Cambridge Philos. Soc. 48 (1952) 106–109
1952
Earlier work this paper cites.
T. H. Berlin and M. Kac, The Spherical Model of a Ferromagnet, Phys. Rev. 86 (1952) 821–835
1952
Earlier work this paper cites.
N. Metropolis, A. Rosenbluth, M. Rosenbluth, A. Teller and E. Teller, Equation of State Calculations by Fast Computing Machines, J. Chem. Phys. 21 (1953) 1087–1092
1953
Earlier work this paper cites.
H. E. Stanley, Dependence of critical properties on dimensionality of spins, Phys. Rev. Lett. 20 (1968) 589–592
1968
Earlier work this paper cites.
J. A. Leu, D. D. Betts and C. J. Elliott, High-temperature critical properties of the Ising model on a triple of related lattices, Canadian Journal of Physics 47 (1969) 1671–1689
1969
Earlier work this paper cites.
J. A. Leu, Self-avoiding walks on a pair of three dimensional lattices, Physics Letters A 29 (1969) 641–642
1969
Earlier work this paper cites.
C. M. Fortuin and P. W. Kasteleyn, Random-cluster model 1: Introduction and relation to other models, Physica 57 (1972) 536–564
1972
Earlier work this paper cites.
K. G. Wilson, Feynman-graph expansion for critical exponents, Phys. Rev. Lett. 28 (1972) 548–551
1972
Earlier work this paper cites.
R. Abe, Expansion of a critical exponent in inverse powers of spin dimensionality, Progr. Theor. Phys. 48 (1972) 1414–1415
1972
Earlier work this paper cites.
S. -K. Ma, Critical Exponents for Charged and Neutral Bose Gases above λ \lambda Points, Phys. Rev. Lett. 29 (1972) 1311–1314
1972
Earlier work this paper cites.
M. Suzuki, Critical exponents and scaling relations for the classical vector model with long-range interactions, Phys. Lett. A 42 (1972) 5–6
1972
Earlier work this paper cites.
R. A. Ferrell and D. J. Scalapino, Order-Parameter Correlations within the Screening Approximation, Phys. Rev. Lett. 29 (1972) 413–416
1972
Earlier work this paper cites.
E. Brézin, J. C. Le Guillou and J. Zinn-Justin, Field Theoretical Approach to Critical Phenomena, in: C. Domb and M. S. Green (Ed.), Phase Transitions and Critical Phenomena, Vol. 6, Academic Press, New York, 1976, pp. 125–247
1976
Earlier work this paper cites.
A. Aharony, Dependence of Universal Critical Behaviour on Symmetry and Range of Interaction, in: C. Domb and M. S. Green (Ed.), Phase Transitions and Critical Phenomena, Vol. 6, Academic Press, New York, 1976, pp. 357–424
1976
Earlier work this paper cites.
A. F. Wells, Three-Dimensional Nets and Polyhedra, John Wiley & Sons Inc., New York, 1977
1977
Earlier work this paper cites.
P.-G. de Gennes, Scaling Concepts in Polymer Physics, Cornell University Press, Ithaca, NY, 1979
1979
Earlier work this paper cites.
E. Domany, D. Mukamel, B. Neinhuis and A. Schwimmer, Duality relations and equivalences for models with O ( n ) O(n) and cubic symmetry, Nucl. Phys. B 190 (1981) 279–287
1981
Earlier work this paper cites.
F. Y. Wu, The Potts model, Rev. Mod. Phys. 54 (1982) 235–268
1982
Earlier work this paper cites.
B. Nienhuis, Exact Critical Point and Critical Exponents of O ( n ) O(n) Models in Two Dimensions, Phys. Rev. Lett. 49 (1982) 1062–1065
1982
Earlier work this paper cites.
F. Y. Wu, Potts model of magnetism, J. Appl. Phys. 55 (1984) 2421–2425
1984
Earlier work this paper cites.
B. Nienhuis, Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas, J. Stat. Phys. 34 (1984) 731–761
1984
Earlier work this paper cites.
K. E. Newman and E. K. Riedel, Critical exponents by the scaling-field method: The isotropic N N -vector model in 3 dimensions, Phys. Rev. B 30 (1984) 6615–6638
1984
Earlier work this paper cites.
A. Berretti and A. D. Sokal, New Monte Carlo Method for the Self-Avoiding Walk, J. Stat. Phys. 40 (1985) 483–531
1985
Cited alongside, same era.
R. J. Baxter, q q colourings of the triangular lattice, J. Phys. A: Math. Gen. 19 (1986) 2821–2839
1986
Cited alongside, same era.
R. J. Baxter, Chromatic polynomials of large triangular lattices, J. Phys. A: Math. Gen. 20 (1987) 5241–5261
1987
Cited alongside, same era.
R. H. Swendsen and Jian-Sheng Wang, Nonuniversal critical dynamics in Monte Carlo simulations, Phys. Rev. Lett. 58 (1987) 86–88
1987
Cited alongside, same era.
U. Wolff, Collective Monte Carlo Updating for Spin Systems, Phys. Rev. Lett. 62 (1989) 361–364
1989
Cited alongside, same era.
M. Campostrini, M. Hasenbusch, A. Pelissetto, P. Rossi, and E. Vicari, Critical exponents and equation of state of the three-dimensional Heisenberg universality class, Phys. Rev. B 65 (2002) 144520
2002
Later among the works it cites.
Y. Deng and H. W. J. Blöte, Simultaneous analysis of several models in the three-dimensional Ising universality class, Phys. Rev. E 68 (2003) 036125
2003
Later among the works it cites.
W. Kager and B. Nienhuis, A Guide to Stochastic Löwner Evolution and Its Applications, J. Stat. Phys. 115 (2004) 1149–1229
2004
Later among the works it cites.
G. Ossola, A. D. Sokal, Dynamic critical behavior of the Swendsen-Wang algorithm for the three-dimensional Ising model, Nucl. Phys. B 691 (2004) 259–291
2004
Later among the works it cites.
H.-P. Hsu, W. Nadler and P. Grassberger, Scaling of Star Polymers with 1-80 Arms, Macromolecules 37 (2004) 4658–4663
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X.-J. Li and A. D. Sokal, Rigorous Lower Bound on the Dynamic Critical Exponents of the Swendsen-Wang Algorithm, Phys. Rev. Lett. 63 (1989) 827–830
1989
Cited alongside, same era.
H. W. J. Blöte and B. Nienhuis, Critical behaviour and conformal anomaly of the O (n) model on the square lattice, J. Phys. A 22 (1989) 1415–1438
1989
Cited alongside, same era.
M. Hasenbusch and S. Meyer, Critical exponents of the 3D XY model from cluster update Monte Carlo, Phys. Lett. B 241 (1990) 238–242
1990
Cited alongside, same era.
H. T. Pinson, Critical percolation on the torus, J. Stat. Phys. 75 (1994) 1167–1177
1994
Cited alongside, same era.
S. A. Antonenko and A. I. Sokolov, Critical exponents for a three-dimensional O ( n ) O(n) -symmetric model with n > 3 n>3 , Phys. Rev. E 51 (1995) 1894–1898
1995
Cited alongside, same era.
N. Madras and G. Slade, The Self-Avoiding Walk, Birkhäuser, Boston, 1996
1996
Cited alongside, same era.
P. Di Francesco, P. Mathieu and D. Sénéchal, Conformal Field Theory, Springer-Verlag, New York, 1997
1997
Cited alongside, same era.
2004
Later among the works it cites.
J. Cardy, SLE for theoretical physicists, Ann. Phys. 318 (2005) 81–118
2005
Later among the works it cites.
A. Butti and F. Parisen Toldin, The critical equation of state of the three-dimensional O ( N ) O(N) universality class: N > 4 N>4 , Nucl. Phys. B 704 (2005) 527–551
2005
Later among the works it cites.
G. R. Grimmett, The Random-Cluster Model, Springer, New York, 2006
2006
Later among the works it cites.
M. Campostrini, M. Hasenbusch, A. Pelissetto, and E. Vicari, Theoretical estimates of the critical exponents of the superfluid transition in 4 \!\phantom{1}{}^{4} He by lattice methods, Phys. Rev. B 74 (2006) 144506
2006
Later among the works it cites.
Y. Deng, Bulk and surface phase transitions in the three-dimensional O ( 4 ) O(4) spin model, Phys. Rev. E 73 (2006) 056116
2006
Later among the works it cites.
2006
Later among the works it cites.
Youjin Deng, Timothy M. Garoni, Wenan Guo, Henk W. J. Blöte and Alan D. Sokal, Cluster Simulations of Loop Models on Two-Dimensional Lattices, Phys. Rev. Lett. 98 (2007) 120601
2007
Later among the works it cites.
Youjin Deng, Timothy M. Garoni and Alan D. Sokal, Dynamic Critical Behavior of the Worm Algorithm for the Ising Model, Phys. Rev. Lett. 99 (2007) 110601
2007
Later among the works it cites.
A. Pelisetto and E. Vicari, Renormalized four-point coupling constant in the three-dimensional O ( N ) O(N) model with N → 0 N\to 0 , J. Phys. A 40 (2007) F539–F550
2007
Later among the works it cites.
F. Winter, W. Janke, and A. M. J. Schakel, Geometric properties of the three-dimensional Ising and XY models, Phys. Rev. E 77 (2008) 061108
2008
Later among the works it cites.
D. P. Landau and K. Binder, A guide to Monte Carlo simulations in statistical physics, 3rd Edition, Cambridge University Press, Cambridge, 2009
2009
Later among the works it cites.
U. Wolff, Simulating the all-order strong coupling expansion III: O ( N ) O(N) sigma/loop models, Nucl. Phys. B 824 (2010) 254–272
2010
Later among the works it cites.
U. Wolff, Erratum to “Simulating the all-order strong coupling expansion III: O(N) sigma/loop models” [Nucl. Phys. B 824 (2010) 254], Nucl. Phys. B 834 (2010) 395–397
2010
Later among the works it cites.
Youjin Deng, Wei Zhang, Timothy M. Garoni, Alan D. Sokal and Andrea Sportiello, Some geometric critical exponents for percolation and the random-cluster model, Phys. Rev. E 81 (2010) 020102(R)
2010
Later among the works it cites.
U. Wolff, Simulating the all-order strong coupling expansion IV: CP(N-1) as a loop model, Nucl. Phys. B 832 (2010) 520–537
2010
Later among the works it cites.
N. Clisby, Accurate Estimate of the Critical Exponent ν \nu for Self-Avoiding Walks via a Fast Implementation of the Pivot Algorithm, Phys. Rev. Lett. 104 (2010) 055702
2010
Later among the works it cites.
Q. Liu, Y. Deng and T. M. Garoni, Worm Monte Carlo study of the honeycomb-lattice loop model, Nucl. Phys. B 846 (2011) 283–315
2011
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