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We report magnetization measurements, full-potential band structurecalculations, and microscopic modeling for the spin-1/2 Heisenberg magnetsA2CuP2O7 (A = Na, Li). Based on a quantitative evaluation of the leadingexchange integrals and the subsequent quantum Monte-Carlo simulations, wepropose a quasi-one-dimensional magnetic model for both compounds, in contrastto earlier studies that conjectured on the two-dimensional scenario. Theone-dimensional nature of A2CuP2O7 is unambiguously verified by magnetizationisotherms measured in fields up to 50 T. The saturation fields of about 40 Tfor both Li and Na compounds are in excellent agreement with the intrachainexchange J1 ~ 27 K extracted from the magnetic susceptibility data. Theproposed magnetic structure entails spin chains with the dominatingantiferromagnetic nearest-neighbor interaction J1 and two inequivalent,nonfrustrated antiferromagnetic interchain couplings of about 0.01*J1 each. Apossible long-range magnetic ordering is discussed in comparison with theavailable experimental information.

Magnetic model for A2CuP2O7 (A = Na, Li) revisited: 1D versus 2D behavior