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Batchelor, M. T.; Suzuki, J.; Yung, C. M.
Exact results for Hamiltonian walks from the solution of the fully packed loop model on the honeycomb lattice. (English) Zbl 1020.82543
Phys. Rev. Lett. 73, No. 20, 2646-2649 (1994).

Cited in 5 Documents
MSC:
82B23 Exactly solvable models; Bethe ansatz
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
82B41 Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics
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\textit{M. T. Batchelor} et al., Phys. Rev. Lett. 73, No. 20, 2646--2649 (1994; Zbl 1020.82543)
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References:
[1] M. Gordon, J. Phys. A 9 pp 751– (1976) · doi:10.1088/0305-4470/9/5/011
[2] J. F. Nagle, J. Phys. Chem. 74 pp 2596– (1984)
[3] T. G. Schmalz, J. Phys. A 17 pp 445– (1984) · doi:10.1088/0305-4470/17/2/029
[4] H. S. Chan, Macromolecules 22 pp 4559– (1989) · doi:10.1021/ma00202a031
[5] P. W. Kasteleyn, Physica (Utrecht) 29 pp 1329– (1963) · doi:10.1016/S0031-8914(63)80241-4
[6] B. Duplantier, J. Stat. Phys. 51 pp 327– (1988) · Zbl 1086.82501 · doi:10.1007/BF01028464
[7] B. Duplantier, J. Stat. Phys. 49 pp 411– (1987) · doi:10.1007/BF01009343
[8] B. Nienhuis, Phys. Rev. Lett. 49 pp 1062– (1982) · doi:10.1103/PhysRevLett.49.1062
[9] B. Duplantier, J. Phys. A 19 pp L1009– (1986) · doi:10.1088/0305-4470/19/16/011
[10] H. Saleur, Phys. Rev. B 35 pp 3657– (1987) · doi:10.1103/PhysRevB.35.3657
[11] B. Duplantier, Nucl. Phys. B290 pp 291– (1987) · doi:10.1016/0550-3213(87)90190-8
[12] A. L. Owczarek, Phys. Rev. Lett. 70 pp 951– (1993) · doi:10.1103/PhysRevLett.70.951
[13] B. Duplantier, Phys. Rev. Lett. 71 pp 4274– (1993) · doi:10.1103/PhysRevLett.71.4274
[14] A. L. Owczarek, Phys. Rev. Lett. 71 pp 4275– (1993) · doi:10.1103/PhysRevLett.71.4275
[15] C. J. Camacho, Phys. Rev. Lett. 71 pp 2505– (1993) · doi:10.1103/PhysRevLett.71.2505
[16] D. Bennett-Wood, J. Phys. A 27 pp L1– (1994) · Zbl 0820.60102 · doi:10.1088/0305-4470/27/2/001
[17] H. W. J. Blöte, Phys. Rev. Lett. 72 pp 1372– (1994) · doi:10.1103/PhysRevLett.72.1372
[18] R. J. Baxter, J. Phys. A 19 pp 2821– (1986) · doi:10.1088/0305-4470/19/14/019
[19] M. T. Batchelor, Phys. Rev. Lett. 61 pp 138– (1988) · doi:10.1103/PhysRevLett.61.138
[20] M. T. Batchelor, Phys. Rev. B 39 pp 2391– (1989) · doi:10.1103/PhysRevB.39.2391
[21] J. Suzuki, J. Phys. Soc. Jpn. 57 pp 2966– (1988) · doi:10.1143/JPSJ.57.2966
[22] M. T. Batchelor, J. Phys. A 26 pp L729– (1993) · doi:10.1088/0305-4470/26/16/004
[23] R. J. Baxter, J. Math. Phys. (N. Y.) 11 pp 784– (1970) · doi:10.1063/1.1665210
[24] J. Suzuki, J. Phys. Soc. Jpn. 57 pp 818– (1988) · doi:10.1143/JPSJ.57.818
[25] S. O. Warnaar, J. Phys. A 26 pp 2301– (1993) · Zbl 0781.05048 · doi:10.1088/0305-4470/26/10/005
[26] N. Yu. Reshetikhin, J. Phys. A 24 pp 2387– (1991) · Zbl 0737.60093 · doi:10.1088/0305-4470/24/10/023
[27] I. V. Cherednik, Theor. Math. Phys. 47 pp 225– (1981) · doi:10.1007/BF01086395
[28] O. Babelon, Nucl. Phys. B190 pp 542– (1981) · doi:10.1016/0550-3213(81)90447-8
[29] O. Babelon, Nucl. Phys. B200 pp 266– (1982) · doi:10.1016/0550-3213(82)90087-6
[30] J. Suzuki, J. Phys. Soc. Jpn. 57 pp 687– (1988) · doi:10.1143/JPSJ.57.687
[31] H. W. J. Blöte, Phys. Rev. Lett. 56 pp 742– (1986) · doi:10.1103/PhysRevLett.56.742
[32] I. Affleck, Phys. Rev. Lett. 56 pp 746– (1986) · doi:10.1103/PhysRevLett.56.746
[33] J. L. Cardy, Nucl. Phys. B270 pp 186– (1986) · Zbl 0689.17016 · doi:10.1016/0550-3213(86)90552-3
[34] H. J. de Vega, J. Phys. A 21 pp L1089– (1988) · doi:10.1088/0305-4470/21/22/009
[35] F. C. Alcaraz, J. Phys. A 23 pp L1079– (1990) · Zbl 0701.62065 · doi:10.1088/0305-4470/23/21/002
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