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We solve the problem of N nonmagnetic impurities in the staggered flux phase of the Heisenberg model which we assume to be a good mean-field approximation for the spin-gap phase of the cuprates. The density of states is evaluated exactly in the unitary scattering limit and is proportional to 1/ωln²(|ω|/D), in analogy with the 1D case of doped spin-Peierls and two-leg ladder compounds. We argue that the system exhibits a quasi-long-range order at T0ex0ex=0ex0ex0 with instantaneous spin-spin correlations decreasing as nᵢ/ln²(nᵢRᵢⱼ) for large distances Rᵢⱼ and we predict enhanced low energy fluctuations in neutron scattering.
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Pépin et al. (1998) studied this question.
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