Basic properties of three-leg Heisenberg tube

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. We find that the spin excitations are always gapped to remove the spin frustration as long as the rung coupling is nonzero. We also visibly confirm spin-Peierls dimerization order in the leg direction. Both the spin gap and the dimerization order are basically enhanced as the rung coupling increases.

4 pages, 2 figures

References in corpus (3)

• Frustrated three-leg spin tubes: from spin 1/2 with chirality to spin 3/2
• Low-lying excitations of the three-leg spin tube using the density-matrix renormalization group method
• Coexistence of vector chiral order and Tomonaga-Luttinger liquid in the frustrated three-leg spin tube in a magnetic field