Low-lying excitations of the three-leg spin tube using the density-matrix renormalization group method

Abstract

Using the (dynamical) density-matrix renormalization group method, we study the low-energy physics of three-leg antiferromagnetic Heisenberg model where the periodic boundary conditions are applied in the rung direction. We confirm that the spin excitations are always gapped as long as the intra-ring couplings form a regular triangle. From precise finite-size-scaling analyses of the spin gap and dimerization order parameter, we also find that the spin gap is collapsed by very small asymmetric modulation of the intra-ring couplings. Moreover, the dynamical spin structure factors on the intra- and inter-leg correlations are calculated. It is demonstrated that the low-lying structure of the inter-leg spectra is particularly affected by the asymmetric modulation.

10 pages, 8 figures

References in corpus (4)

• Magnetic characterization of the frustrated three-leg ladder compound [(CuCl2tachH)3Cl]Cl2
• Frustrated three-leg spin tubes: from spin 1/2 with chirality to spin 3/2
• Coexistence of vector chiral order and Tomonaga-Luttinger liquid in the frustrated three-leg spin tube in a magnetic field
• Dynamics in One-Dimensional Spin Systems - Density-Matrix Renormalization Group Study

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• Inelastic Neutron Scattering in Weakly Coupled Triangular Spin Tubes CsCrF${}_4$
• Basic properties of three-leg Heisenberg tube