Low-Temperature Expansion of the Free Energy in ASOS Model

Abstract

We calculate the low-temperature series of the free energy in absolute-value solid-on-solid (ASOS) model to order $u^{23}$ using finite-lattice method. The property of the obtained series and the behavior of their Padé approximants confirms us that the roughening transition in ASOS model is of Kosterlitz-Thouless type.

18 pages latex + 10 figures (uuencoded ps file)

References in corpus (6)

• High Precision Renormalization Group Study of the Roughening Transition
• Low temperature expansion for the 3-d Ising Model
• Series studies of the Potts model. I: The simple cubic Ising model
• Comparison of Monte Carlo Results for the 3D Ising Interface Tension and Interface Energy with (Extrapolated) Series Expansions
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Cited by in corpus (3)

• High-temperature expansion of the magnetic susceptibility and higher moments of the correlation function for the two-dimensional XY model
• Low-Temperature Series for the Square Lattice Potts Model by the Improved Finite-Lattice Method
• Surface width of the Solid-On-Solid models