Finite-size scaling in the spin-1/2 XY model on a square lattice

Authors
Hamer, CJ Hovelborn, T Bachhuber, M
Citation
Cj. Hamer et al., Finite-size scaling in the spin-1/2 XY model on a square lattice, J PHYS A, 32(1), 1999, pp. 51-59
Citations number
20
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
1
Year of publication
1999
Pages
51 - 59
Database
ISI
SICI code
0305-4470(19990108)32:1<51:FSITSX>2.0.ZU;2-N
Abstract
Energy eigenvalues and order parameters are calculated by exact diagonaliza tion for the isotropic spin-1/2 XY model on square lattices of up to 6 x 6 sites. The finite-size scaling behaviour is in excellent agreement with the effective Lagrangian predictions of Hasenfratz and Niedermayer (Hasenfratz P and Niedermayer F 1993 Z Phys. B 92 91). Estimates are obtained for the bulk ground-state energy per site, the spontaneous magnetization, the spin- wave velocity and the spin-wave stiffness.