Abstract
We investigate the ground state of the J 1 – J 2 spin-1/2 chain with J 1 <0 and J 2 >0 in the case that the nearest-neighbor J 1 interaction in the z -direction has a weak anisotropy as J 1 (1-α). We perform a perturbational analysis for small α and λ≡ J 2 -| J 1 |/4 with the exact solution of the unperturbed ground state for α=λ=0. The scaling property of the ground-state energy is examined in detail. By the numerical diagonalization analysis of finite-size systems, we found the phase boundary equation between the spin fluid and dimer phases as α c =14λ c 4/3 .
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