Equivalence of the antiferromagnetic Heisenberg ladder to a single $S=1$ chain

Abstract

I introduce two continuous transformations between the $S=1$ Heisenberg chain and the antiferromagnetic $S=1/2$ Heisenberg ladder. Both transformations couple diagonally situated {\it next nearest neighbor} $S=1/2$'s to form each $S=1$. Using the density matrix renormalization group, I demonstrate that the two systems are in the same phase. Furthermore, I find that the hidden topological long-range order characterizing the $S=1$ system is even stronger in the isotropic two-chain system.

10 pages, 5 postscript figures

References in corpus (3)

• Resonating Valence Bond Theory of Coupled Heisenberg Chains
• Correlations in a two--chain Hubbard model
• Superconductivity in a Quasi One Dimensional Spin Liquid

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