Abstract
Low-temperature expansion for systems with many ground states is discussed. It is pointed out that, in general, different ground states may yield different formal perturbation expansions, and that the right expansion of the free energy is provided by ground states called here dominant.
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References
D. Betts and C. Y. Elliott,Phys. Lett. 18:18 (1965).
A. Danielian,Phys. Rev. A 133:1399 (1964).
C. Domb, inPhase Transitions and Critical Phenomena, C. Domb and M. S. Green, eds., Vol. 3 (Academic Press, 1974).
C. Y. Elliott, Master's thesis, Univ. of Alberta (1965).
J. Frolich, R. Israel, E. M. Lieb, and B. Simon, Phase transitions and reflection positivity, II. Short range lattice models, to be submitted toJ. Stat. Phys.
V. M. Gertsik,Izv. Akad. Nauk SSSR, Ser. Mat. 40:448 (1976).
V. M. Gertsik and R. L. Dobrushin,Funkt. Anal. 8:12 (1974).
W. Holsztynski and J. Slawny,Comm. Math. Phys. 61:177 (1978).
R. Kikuchi,J. Chem. Phys. 60:1071 (1974).
R. Kikuchi and H. Sato,Acad. Met. 22:1099 (1974).
M. K. Phani, J. L. Lebowitz, M. H. Kalos, and C. C. Tsai, Computer study of an ordering on an fcc lattice, Preprint.
S. A. Pirogov and Ya. G. Sinai,Tear. Math. Fiz. 25:358 (1975);26:61 (1976).
J. Slawny,Comm. Math. Phys. 46:75 (1976).
C. M. van Baal,Physics 64:571 (1973).
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Supported in part by Grant AFOR-78-3522.
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Slawny, J. Low-temperature expansion for lattice systems with many ground states. J Stat Phys 20, 711–717 (1979). https://doi.org/10.1007/BF01009520
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DOI: https://doi.org/10.1007/BF01009520