New algorithm for high-temperature series: The planar rotator model
- 1 April 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 33 (7) , 4725-4733
- https://doi.org/10.1103/physrevb.33.4725
Abstract
We describe a new algorithm to compute high-temperature expansions for lattice-spin models. The method, based on a recently proposed iterative solution of the Schwinger-Dyson equations, may be efficiently implemented by a computer program. As an application we calculate the (zero-field) two-point correlation functions and their moments up to 15th order for the planar rotator model on a two-dimensional square lattice. The high-temperature series previously known up to tenth order are thus substantially improved and are analyzed within the framework of the Kosterlitz-Thouless theory.Keywords
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