Abstract

We study three-leg antiferromagnetic Heisenberg model with the periodic boundary conditions in the rung direction. Since the rungs form regular triangles, spin frustration is induced. We use the density-matrix renormalization group method to investigate the ground-state properties. We find that the spin excitations are always gapped to remove the spin frustration as long as the rung coupling is nonzero. We also demonstrate a direct observation of spin-Peierls dimerization order in the leg direction. Both the spin gap and the dimerization order are basically enhanced as the rung coupling increases.

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