Marshall-Peierls sign rule in frustrated Heisenberg chains

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We consider the frustrated antiferromagnetic s=1 Heisenberg quantum spin chain with regard to the Marshall-Peierls sign rule (MPSR). By using exact diagonalization data we investigate the breakdown of the MPSR in dependence on frustration and compare our findings with data for s=1/2. We calculate a critical value of frustration J₂(crit) where the MPSR is violated. The extrapolation of this value to the infinite chain limit holds J₂(crit) approx. 0.016, lower than in the case of s=1/2 (J₂(crit) approx. 0.027). This points to a stronger influence of frustration in the case of s=1. Nevertheless the calculation of the weight of the Ising-states violating the MPSR shows that the MPSR holds approximately even for quite large frustration and may be used for numerical techniques.