Summation of closed self-avoiding diagrams on the honeycomb lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 1, pp. 140-145 Cet article a éte moissonné depuis la source Math-Net.Ru

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The generating function for calculating closed self-avoiding diagrams on the honeycomb lattice is constructed and its thermodynamic limit found. The presence of a phase transition in the system is noted, and the critical value of the interaction constant is found. The calculations are made by means of integration with respect to anticommuting variables.
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V. A. Klimenko. Summation of closed self-avoiding diagrams on the honeycomb lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 1, pp. 140-145. http://geodesic.mathdoc.fr/item/TMF_1993_94_1_a9/

[1] Duplantier B., J. Stat. Phys., 54:3–4 (1989), 581–680 | DOI | MR

[2] Duplantier B., Phys. Rev. Lett., 57:8 (1986), 941–944 | DOI | MR

[3] Saluer H., J. Phys.(A), 19:13 (1986), L807–L810

[4] Duplantier B., David Francois, J. Statist., 51:3–4 (1988), 327–434 | DOI | MR | Zbl

[5] Duplantier B., Univers. Condens. Matter. Proc. Workshop. Les Houches. Berlin, 1988, 191–192

[6] Kumar Sanjay, Singh Yashwant, J. Phys.(A), 23:21 (1990), 5115–5116 | MR

[7] Berezin F. A., Matem. sbornik, 85:1 (1971), 49–64 | MR | Zbl

[8] Klimenko V. A., Izv. vuzov. Matematika, 1990, no. 12, 35–39 | MR | Zbl

[9] Lin K. Y., Ma S. K., Kao C. H., Chin S. H., J. Phys.(A), 20 (1987), 1981

[10] Guttmann A. J., Enting I. G., J. Phys.(A), 21:8 (1988), L467–L474 | MR

[11] Lin K. J., Chang S. J., J. Phys.(A), 21:11 (1988), 2635–2642 | MR

[12] Berezin F. A., Vvedenie v algebru i analiz s antikommutiruyuschimi peremenami, MGU, M., 1983 | MR