Exact Landau Free-Energy of Solvable N-State Vertex Model
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概要
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For a solvable .N-state vertex model in the low-temperature antiferroelectric phase,exact per-site free-energy f is calculated as a function of the order-parameter p ('ver-tical polarization'), based 011 the quantum inverse scattering method. The Bethe-an-saTz integral equation is solved as an expansion with respect to p, which leads to theGruber-Mullins-Pokrovsky-Talapov-type expansion, f(p) = /(0) -F- a- l p l l- b- l p l'-FO( l p l'). It is found that the coefficients a and b are identical to those of the six-vertexmodel (N=2 case). This fact gives support for the: universal Gaussictn curvature jumpfor the ,V-state vertex model interpreted as a model of interface roughening.
- 社団法人日本物理学会の論文
- 1989-07-15
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