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Exact Correlation Amplitude for the S=1/2 Heisenberg Antiferromagnetic Chain

Strongly Correlated Electrons 2009-10-31 v2

Abstract

The exact amplitude for the asymptotic correlation function in the S=1/2 Heisenberg antiferromagnetic chain is determined: <S^a_0 S^b_r> goes to (-1)^r delta^{ab}(ln r)^{1/2}/[(2 pi)^{3/2}r]. The behaviour of the correlation functions for small xxz anisotropy and the form of finite-size corrections to the correlation function are also analysed.

Keywords

Cite

@article{arxiv.cond-mat/9802045,
  title  = {Exact Correlation Amplitude for the S=1/2 Heisenberg Antiferromagnetic Chain},
  author = {Ian Affleck},
  journal= {arXiv preprint arXiv:cond-mat/9802045},
  year   = {2009}
}

Comments

8 pages, 3 figures, added reference and discussion