Weakly Coupled Antiferromagnetic Quantum Spin Chains

Details Weakly Coupled Antiferromagnetic Quantum Spin Chains Weakly Coupled Antiferromagnetic Quantum Spin Chains

1996-11-17

arxiv.org/abs/cond-mat/9611129v2

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevLett.78.126

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.

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