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We propose to tailor exchange interactions in magnetic monolayer films bytuning the adjacent non-magnetic substrate. As an example, we demonstrate aferromagnetic-antiferromagnetic phase transition for one monolayer Fe on aTa(x)W(1-x)(001) surface as a function of the Ta concentration. At the criticalTa concentration, the nearest-neighbor exchange interaction is small and themagnetic phase space is dramatically broadened. Complex magnetic order such asspin-spirals, multiple-Q, or even disordered local moment states can occur,offering the possibility to store information in terms of ferromagnetic dots inan otherwise zero-magnetization state matrix.Comment: after minor changes, 5 pages, 5 figures, revtex

Magnetic Phase Control in Monolayer Films by Substrate Tuning