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We present a detailed analysis of the phase diagram of antiferromagnets withcompeting exchange-driven and field-induced order parameters. By using thequasi-1D antiferromagnet BaCu_2Si_2O_7 as a test case, we demonstrate that amodel based on a Ginzburg-Landau type of approach provides an adequatedescription of both the magnetization process and of the phase diagram. Thedeveloped model not only accounts correctly for the observed spin-reorientationtransitions, but it predicts also their unusual angular dependence.

Phase diagram of low-dimensional antiferromagnets with competing order parameters: A Ginzburg-Landau-theory approach