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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2004, Volume 79, Issue 5, Pages 267–271
(Mi jetpl2242)
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This article is cited in 8 scientific papers (total in 8 papers)
CONDENSED MATTER
Numerical investigation of logarithmic corrections in two-dimensional spin models
B. Berchea, L. N. Shchurba a Laboratoire de Physique des Matériaux, UMR CNRS 7556, Université Henri Poincaré, F-54506 Vandœuvre les Nancy Cedex, France
b Landau Institute for Theoretical Physics RAS, 142432 Chernogolovka, Moscow reg., Russia
Abstract:
The analysis of correlation function data obtained by Monte Carlo simulations of the two-dimensional 4-state Potts model, XY model, and self-dual disordered Ising model at criticality are presented. We study the logarithmic corrections to the algebraic decay exhibited in these models. A conformal mapping is used to relate the finite-geometry information to that of the infinite plane. Extraction of the leading singularity is altered by the expected logarithmic corrections, and we show numerically that both leading and correction terms are mutually consistent.
Received: 20.01.2004
Citation:
B. Berche, L. N. Shchur, “Numerical investigation of logarithmic corrections in two-dimensional spin models”, Pis'ma v Zh. Èksper. Teoret. Fiz., 79:5 (2004), 267–271; JETP Letters, 79:5 (2004), 213–217
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https://www.mathnet.ru/eng/jetpl2242 https://www.mathnet.ru/eng/jetpl/v79/i5/p267
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Abstract page: | 180 | Full-text PDF : | 52 | References: | 33 |
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