Low-lying magnon excitations in integer-spin ladders and tubes

Details Low-lying magnon excitations in integer-spin ladders and tubes Low-lying magnon excitations in integer-spin ladders and tubes

2004-10-16

arxiv.org/abs/cond-mat/0410419v3

Journal of Physics and Chemistry of Solids, vol 66, 1454-1457 (2005)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures, published version (Proceedings of ISSP-9). See also cond-mat/0506049

Scientific paper

10.1016/j.jpcs.2005.05.031

We consider low-energy excitation structures of N-leg integer-spin ladder and tube systems with an antiferromagnetic (AF) intrachain coupling and a uniform external field. The tube means the ladder with the periodic boundary condition along the interchain (rung) direction. Odd-leg AF-rung tubes have the frustration. In order to analyze all systems including frustrated tubes, we apply a field-theoretical method based on the nonlinear sigma model. We mainly focus on the systems without any external fields. In this case, it is shown that the lowest bands of frustrated tubes always consist of six-fold degenerate magnon excitations, while those of all other systems are triply degenerate. This result implies that the ground states of frustrated tubes (all non-frustrated systems) become a two (one)-component Tomonaga-Luttinger liquid, when a sufficiently strong uniform field is applied.

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