Finite-size scaling for the S=1/2 Heisenberg Antiferromagnetic Chain
Strongly Correlated Electrons
2009-10-31 v1 Statistical Mechanics
Abstract
Corrections to the asymptotic correlation function in a Heisenberg spin-1/2 antiferromagnetic spin chain are known to vanish slowly (logarithmically) as a function of the distance r or the chain size L. This leads to significant differences with numerical results. We calculate the sub-leading logarithmic corrections to the finite-size correlation function, using renormalization group improved perturbation theory, and compare the result with numerical data.
Keywords
Cite
@article{arxiv.cond-mat/9810075,
title = {Finite-size scaling for the S=1/2 Heisenberg Antiferromagnetic Chain},
author = {Victor Barzykin and Ian Affleck},
journal= {arXiv preprint arXiv:cond-mat/9810075},
year = {2009}
}
Comments
7 pages Revtex, 3 figures