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Physical Review B (Condensed Matter and Materials Physics) -- October 15, 1999 -- Volume 60, Issue 16 pp. 11761-11764

Essential finite-size effect in the two-dimensional XY model

S. G. Chung

Department of Physics, Western Michigan University, Kalamazoo, Michigan 49008

(Received 1 February 1999)

The thermodynamics of the two-dimensional (2D) XY model is formulated by a transfer-matrix method and analyzed by a density-matrix renormalization group. The finite-size scaling and the beta function of the model are studied by the Roomany-Wyld renormalization-group theory. It is found that the 2D XY model has an essential finite-size effect and the Berezinskii-Kosterlitz-Thouless transition with the critical temperature T_BKT = 0.892 appears in a finite system of 2000–3000 spins as a massless to massive transition with the effective critical temperature T_c = 1.07±0.01. ©1999 The American Physical Society

URL: http://link.aps.org/abstract/PRB/v60/p11761
PACS: 64.60.Ak, 05.50.+q, 75.10.Hk, 05.10.Cc        Additional Information

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