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As is well known, boundary conditions do not affect the thermodynamic limit except in the sense that they can affect which of the degenerate ground states the system picks in the broken-symmetry phase
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As is well known, boundary conditions do not affect the thermodynamic limit except in the sense that they can affect which of the degenerate ground states the system picks in the broken-symmetry phase.
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Communications with I. Enting and G. Baker are acknowledged
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Their function denoted (Formula presented)(hc, q) is implicitly defined per 2-cell rather than per site and hence is the square of the function denoted (Formula presented)(hc, q) here, in Ref. 30, and in G. A. Baker, Jr., ., J. Combin. Theory 10, 217 (1971). Communications with I. Enting and G. Baker are acknowledged.
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This boundary itself has a complex-temperature extension that can be probed via calculations of zeros of the Potts partition function
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This boundary itself has a complex-temperature extension that can be probed via calculations of zeros of the Potts partition function;
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Ground-state entropy without frustration can also occur in models with continuous variables and interactions
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Ground-state entropy without frustration can also occur in models with continuous variables and interactions;
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We note that the lower bound for W(sq, q) from this work coincides with the d=2 special case of an estimated lower bound applicable to d-dimensional Cartesian lattices (Formula presented), viz., W((Formula presented), q)⩾1+(q-2(Formula presented)/(q-1(Formula presented), presented by D. C. Mattis, Int. J. Mod. Phys. B 1, 103 (1987);
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