Mean-field renormalization group study of the long-range Ising model

Authors
Khoo, KH Sy, HK
Citation
Kh. Khoo et Hk. Sy, Mean-field renormalization group study of the long-range Ising model, J PHYS-COND, 13(1), 2001, pp. 101-107
Citations number
32
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
JOURNAL OF PHYSICS-CONDENSED MATTER
ISSN journal
09538984 → ACNP
Volume
13
Issue
1
Year of publication
2001
Pages
101 - 107
Database
ISI
SICI code
0953-8984(20010108)13:1<101:MRGSOT>2.0.ZU;2-F
Abstract
In this paper, we study the one-dimensional long-range Ising model with a s pin-spin interaction that decays as 1/r(1+sigma) using the mean-field renor malization group. The critical coupling K-c and critical exponents y(t) and y(h) are computed using cluster sizes of up to sixteen spins. We then appl y the alternating-alpha VBS (Vanden Broeck-Schwartz) transformation to acce lerate the convergence of results for different cluster sizes.