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We study states with spontaneous spin current, emerging in frustrated antiferromagnetic spin-S chains subject to a strong external magnetic field. As a numerical tool, we use a non-Abelian symmetry realization of the density matrix renormalization group. The field dependence of the order parameter and the critical exponents are presented for zigzag chains with S = 1/2, 1, 3/2, and 2.doi:10.5488/cmp.12.3.429 fatcat:2dvbjy3f55gmpjhz37kltnvnyu