Resonating Valence Bond Theory of Coupled Heisenberg Chains

Abstract

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.

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

References in corpus (2)

• Large-Scale Numerical Evidence for Bose Condensation in the S=1 Antiferromagnetic Chain in a Strong Field
• Realization of a Spin liquid in a Two Dimensional Quantum Antiferromagnet

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