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Magnetization plateaus are some of the most striking manifestations offrustration in low-dimensional spin systems. We present numerical studies ofmagnetization plateaus in the fascinating spin-1/2 skewed ladder systemobtained by alternately fusing five- and seven-membered rings. This systemexhibits three significant plateaus at $m = 1/4$, $1/2$ and $3/4$, consistentwith the Oshikawa-Yamanaka-Affleck condition. Our numerical as well asperturbative analysis shows that the ground state can be approximated by threeweakly coupled singlet dimers and two free spins, in the absence of a magneticfield. With increasing applied magnetic field, the dimers progressively becometriplets with large energy gaps to excited states, giving rise to stablemagnetization plateaus. Finite-temperature studies show that $m=1/4$ and $1/2$plateaus are robust and survive thermal fluctuations while the $m=3/4$ plateaushrinks rapidly due to thermal noise. The cusps at the ends of a plateau followthe algebraic square-root dependence on $B$.

Magnetization plateaus of spin-$\mathbf{\frac{1}{2}}$ system on a 5/7 skewed ladder