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Highly frustrated spin systems such as the kagome lattice (KL) are a treasuretrove of new quantum states with large entanglements. We thus study thespin-$\frac{1}{2}$ Heisenberg model on a kagome-strip chain (KSC), which isone-dimensional KL, using the density-matrix renormalization group (DMRG)method. Calculating central charge and entanglement spectrum for the KSC, wefind a novel gapless spin liquid state with doubly degenerate entanglementspectra in a 1/5 magnetization plateau. We also obtain a gapless low-lyingcontinuum in the dynamic spin structure calculated by dynamical DMRG method. Wepropose a resonating dimer-monomer liquid state that would meet these features.

Resonating dimer-monomer liquid state in a magnetization plateau of a spin-$\frac{1}{2}$ kagome-strip Heisenberg chain