Resonating Valence Bond Theory of Coupled Heisenberg Chains

Details Resonating Valence Bond Theory of Coupled Heisenberg Chains Resonating Valence Bond Theory of Coupled Heisenberg Chains

1994-03-10

arxiv.org/abs/cond-mat/9403042v2

Physics

Condensed Matter

11 pages and 6 postscript figures, RevTeX 3.0, UCI-CMTHE-94-02 (Revised version)

Scientific paper

10.1103/PhysRevLett.73.886

Using numerical results from a density matrix renormalization group study as a guide, we develop a resonating valence bond (RVB) theory for coupled Heisenberg chains. We argue that simple topological effects mandate a short-range RVB description of systems with an even number of chains $n_c$, with a spin gap, short-range correlations, and confinement of topological spin defects. Odd-$n_c$ systems have long-range RVB ground states, no gap, and power-law correlations.

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