| The properties of quantum dimer model are investigated on 42-site Sierpiński lattice. This is a self-similar lattice with, to some extend, the corner-sharing triangles. It is interesting that the entropy of dimer coverings of Sierpiński lattice is the same as that for the kagomé lattice (1/3 ln 2). We demonstrate that the quantum dimer model has short-range dimer-dimer correlations and gapped dimer-liquid phase with topological degeneracy. A full spectrum of a dimer liquid is obtained. |
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