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We propose an efficient method to identify the degree of frustration inquasi-2D antiferromagnets described by the J_1-J_2 Heisenberg model. Thefrustration ratio J_2/J_1 is usually obtained from analysis of susceptibility,specific heat and saturation field. We show that the non-monotonic fielddependence of the staggered moment caused by the suppression of quantumfluctuations in a field depends strongly on the frustration ratio. This gives apowerful criterion to determine J_2/J_1 using a combination of exactdiagonalization (ED) method for finite clusters and spin wave analysis. Weapply this method to the quasi-2D compound Cu(pz)_2(ClO_4)_2 and show that itleads to an intermediate ratio J_2/J_1 ~ 0.2 for the frustration. We alsoexplain the observed anomalous increase of transition temperature in appliedfields as an effect of reduced quantum fluctuations.

Staggered moment dependence on field-tuned quantum fluctuations in 2D frustrated antiferromagnets