English

Coupled $S=1/2$ Heisenberg antiferromagnetic chains in an effective staggered field

Strongly Correlated Electrons 2009-11-10 v1 Statistical Mechanics

Abstract

We present a systematic study of coupled S=1/2S=1/2 Heisenberg antiferromagnetic chains in an effective staggered field. We investigate several effects of the staggered field in the {\em higher} ({\em two or three}) {\em dimensional} spin system analytically. In particular, in the case where the staggered field and the inter-chain interaction compete with each other, we predict, using mean-field theory, a characteristic phase transition. The spin-wave theory predicts that the behavior of the gaps induced by the staggered field is different between the competitive case and the non-competitive case. When the inter-chain interactions are sufficiently weak, we can improve the mean-field phase diagram by using chain mean-field theory and the analytical results of field theories. The ordered phase region predicted by the chain mean-field theory is substantially smaller than that by the mean-field theory.

Keywords

Cite

@article{arxiv.cond-mat/0401627,
  title  = {Coupled $S=1/2$ Heisenberg antiferromagnetic chains in an effective staggered field},
  author = {Masahiro Sato and Masaki Oshikawa},
  journal= {arXiv preprint arXiv:cond-mat/0401627},
  year   = {2009}
}

Comments

13pages, 12figures, to be published in PRB