Weakly Coupled Antiferromagnetic Quantum Spin Chains

Ziqiang Wang

doi:10.1103/PhysRevLett.78.126

Weakly Coupled Antiferromagnetic Quantum Spin Chains

Strongly Correlated Electrons 2009-10-28 v2

Authors: Ziqiang Wang

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Abstract

Quasi-one-dimensional quantum antiferromagnets formed by a d-dimensional hypercubic lattice of weakly coupled spin-1/2 antiferromagnetic Heisenberg chains are studied by combining exact results in one-dimension and renormalization group analyses of the interchain correlations. It is shown that d-dimensional magnetic long-range order develops at zero-temperature for infinitesimal antiferromagnetic or ferromagnetic interchain couplings. In the presence of weak bond alternations, the order-disorder transition occurs at a finite interchain coupling. Relevances to the lightly doped quantum antiferromagnets and multi-layer quantum Hall systems are discussed.

Keywords

quantum spin chains heisenberg antiferromagnet on lattices heisenberg spin chains

Cite

@article{arxiv.cond-mat/9611129,
  title  = {Weakly Coupled Antiferromagnetic Quantum Spin Chains},
  author = {Ziqiang Wang},
  journal= {arXiv preprint arXiv:cond-mat/9611129},
  year   = {2009}
}

Comments

12 revtex pages, no figures, revised final version to appear in PRL

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