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The dimer-plaquette chain undergoes a first-order transition driven by frustration to an orthogonal-dimer ground state. We analyze the magnetization curve in this orthogonal-dimer regime. Besides the recently found magnetization plateaus at m=1/4 and m=1/2 we find an infinite series of plateaus between m=1/4 and m=1/2. These additional plateaus are connected by single jumps and belong to magnetizations m (n) =n/ (2n+2), where n is a positive integer number. The resulting magnetization curve looks like a staircase from m=0 to m=1/2 with steps decreasing rapidly in their width and height.
Schulenburg et al. (Fri,) studied this question.