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• W2089157822 startingPage "1419" @default.
• W2089157822 abstract "By using self-dual clusters (whose sizes are characterized by the numbers $b=2,3,4,5$), we calculate within a real-space renormalization-group framework, the longitudinal surface tension of the square-lattice first-neighbor textonehalf{}-spin ferromagnetic Ising model. The exact critical temperature ${T}_{c}$ is recovered for any value of $b$; the exact asymptotic behavior of the surface tension in the limit of low temperatures is analytically recovered; the approximate correlation-length critical exponents monotonically tend towards the exact value $ensuremath{nu}=1$ (which, for two dimensions, coincides with the surface-tension critical exponent $ensuremath{mu}$) for increasingly large cells; the same behavior is noticed in the approximate values for the surface-tension amplitude in the limit $Tensuremath{rightarrow}{T}_{c}$. We develop four different numerical procedures for extrapolating to $bensuremath{rightarrow}ensuremath{infty}$ the renormalization-group (RG) results for the surface tension, and quite satisfactory agreement is obtained with Onsager's exact expression (error varying from zero to a few percent on the whole temperature domain). Furthermore, we compare the set of RG surface tensions with a set of biased surface tensions (associated with appropriate misfit seams) and find only fortuitous coincidence among them." @default.
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• W2089157822 date "1981-02-01" @default.
• W2089157822 modified "2023-09-24" @default.
• W2089157822 title "Extrapolated renormalization-group calculation of the surface tension in square-lattice Ising model" @default.
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• W2089157822 doi "https://doi.org/10.1103/physrevb.23.1419" @default.
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