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The stationary points of the potential energy function V are studied for the \phi^4 model on a two-dimensional square lattice with nearest-neighbor interactions.
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Our definition of V V coincides with the one in [ 18 ] , but differs from [ 23 ] by a factor 1 / 6 1/6 in the quartic term. Judging from the critical temperatures and energies reported in the latter, as well as from their reference to [ 18 ] , we assume that there is a misprint in [ 23 ] . Note that for the main conclusions of the present Letter the precise values of any of the constants do not matter
Cited in the paper.
Numerically, we find that, for a given N N , there is a J 0 ( N ) J_{0}(N) such that only three stationary points exist for all J > J 0 ( N ) J>J_{0}(N) . J 0 ( N ) J_{0}(N) seems to increase unboundedly with N N
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