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We study the destruction of the antiferromagnetic order in the high-Tcsuperconductors La(2-x)Sr(x)CuO(4) and YBa(2)Cu(3)O(6+x) in the framework ofthe CP1-nonlinear sigma model formulation of the 2D quantum Heisenbergantiferromagnet. The dopants are introduced as independent fermions withappropriate dispersion relations determined by the shape of the Fermi surface.The energy of skyrmion topological defects, which are shown to be introduced bydoping, is used as an order parameter for antiferromagnetic order. We obtainanalytic expressions for this as a function of doping which allow us to plotthe curves T_N(x_c)\times x_c and M(x)\times x, for both YBCO and LSCO, in goodquantitative agreement with the experimental data.Comment: 4 pages, revtex, 5 embeeded figure

physical review. b, condensed matter

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Quantum skyrmions and the destruction of long-range antiferromagnetic order in the high-TcsuperconductorsLa2