Finite-lattice extrapolations for Z3and Zsmodels
- 1 August 1981
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 14 (8) , 2009-2025
- https://doi.org/10.1088/0305-4470/14/8/025
Abstract
A method is presented to accelerate the convergence of finite-lattice sequences to their bulk limit. The calculation of highly accurate estimates of the critical parameters of the bulk system is then possible. Applied to the Hamiltonian version of the Z3 model (three-state Potts model) in (1+1) dimensions, these techniques yield estimates for the exponents gamma =1.444+or-0.0001, nu =0.8333+or-0.0003 and alpha =0.33+or-0.01. For the Z5 model, the presence of a Kosterlitz-Thouless transition is confirmed.Keywords
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