Relaxation of frustration and gap enhancement by the lattice distortion in the $Δ$ chain

Details Relaxation of frustration and gap enhancement by the lattice distortion in the $Δ$ chain Relaxation of frustration and gap enhancement by the lattice distortion in the $Δ$ chain

1996-04-26

arxiv.org/abs/cond-mat/9604162v1

Phys. Lett. A, 225 (1997) 315

Physics

Condensed Matter

4 pages, REVTex, 6 figures in eps-files uuencoded

Scientific paper

10.1016/S0375-9601(96)00876-6

We clarify an instability of the ground state of the $\Delta$ chain against the lattice distortion that increases a strength $(\lambda)$ of a bond in each triangle. It relaxes the frustration and causes a remarkable gap enhancement; only a $6\%$ increase of $\lambda$ causes the gap doubled from the fully-frustrated case $(\lambda=1)$. The lowest excitation is revealed to be a kink-antikink bound state whose correlation length decreases drastically with $\lambda$ increase. The enhancement follows a power law, $\Delta E_{\rm gap}\sim (\lambda-1) + 1.44 (\lambda -1)^{\frac{2}{3}}$, which can be obtained from the exact result of the continuous model. This model describes a spin gap behavior of the delafossite YCuO$_{2.5}$.

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