Basic properties of three-leg Heisenberg tube
arXiv:0808.0278 · doi:10.1088/1742-6596/145/1/012041
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 (11)
- Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
- Experiments on Ladders Reveal a Complex Interplay between a Spin-Gapped Normal State and Superconductivity
- Magnetization Plateaux in N-Leg Spin Ladders
- Magnetization Curves of Antiferromagnetic Heisenberg Spin-1/2 Ladders
- Three-leg Antiferromagnetic Heisenberg Ladder with Frustrated Boundary Condition; Ground State Properties
- 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
- Vector chirality and inhomogeneous magnetization in frustrated spin tubes in high magnetic fields
- Soliton binding and low-lying singlets in frustrated odd-legged S=1/2 spin tubes
- Coexistence of vector chiral order and Tomonaga-Luttinger liquid in the frustrated three-leg spin tube in a magnetic field
- Critical behaviour of a spin-tube model in a magnetic field