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Two‐step mean‐field renormalization group results for the large square Ising clusters
Author(s) -
Kamieniarz G.,
Musiał G.,
Tomecka D.
Publication year - 2003
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200301711
Subject(s) - ising model , renormalization group , critical exponent , mathematics , square (algebra) , convergence (economics) , statistical physics , mean field theory , renormalization , physics , mathematical physics , condensed matter physics , scaling , geometry , economics , economic growth
A transfer matrix approach has been worked out to test the predictions of the improved three‐step mean‐field renormalization group approach to square Ising clusters with linear size up to L = 11. Performing the asymptotic analysis, the convergence of the finite‐size critical couplings and the critical exponents towards the exact values is shown.