Low-Temperature Expansion of the Free Energy in ASOS Model

TL;DR

This paper computes the low-temperature free energy series of the ASOS model up to order 23, confirming that its roughening transition is of the Kosterlitz-Thouless type through analysis of series properties and Padé approximants.

Contribution

It provides a detailed high-order series expansion for the ASOS model's free energy and confirms the nature of its roughening transition as Kosterlitz-Thouless type.

Findings

Series expansion supports Kosterlitz-Thouless transition

Series properties and Padé approximants validate transition type

High-order calculations enhance understanding of 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 Pad\'e approximants confirms us that the roughening transition in ASOS model is of Kosterlitz-Thouless type.