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Spatially-resolved NMR is used to probe the magnetism in and around vortexcores of nearly optimally-doped Tl_2Ba_2CuO_{6+x} (Tc=85 K). The NMR relaxationrate 1/T_1 at Tl site provides a direct evidence that the AF spin correlationis significantly enhanced in the vortex core region. In the core region Cuspins show a local AF ordering with moments parallel to the layers at T_N=20K.Above T_N the core region is in the paramagnetic state which is a reminiscenceof the state above the pseudogap temperature (T*~120 K), indicating that thepseudogap disappears within cores.Comment: 4 pages, 4 figure

physical review letters

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Antiferromagnetic Vortex Core inTl2Ba2Cu