Upper and lower bounds for the ground state entropy of antiferromagnetic Potts models

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 55, Issue 6 SUPPL. A, 1997, Pages 6791-6794

  Shrock, Robert ^a   Tsai, Shan Ho ^a  

^a STONY BROOK UNIVERSITY   (United States)

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EID: 0000647605     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.55.6791     Document Type: Article

References (25)

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11. 1/2] for q≥3.
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14. 12)] is implicitly defined per two-cell rather than per site and hence is the square of the function denoted W̄(hc,q) here.
15. 12)] is implicitly defined per two-cell rather than per site and hence is the square of the function denoted W̄(hc,q) here.
16. 12)] is implicitly defined per two-cell rather than per site and hence is the square of the function denoted W̄(hc,q) here.
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21. The restriction on the coloring of site 0 in p′ will be taken into account automatically by our use of periodic boundary conditions here, Alternatively, one could use an open chain; these choices are equivalent in the n→∞ limit.
22. 1 is realized as an equality; if these colors are the same, then it is realized as an inequality.
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