Statistical mechanics of dimers on quasiperiodic Ammann-Beenker tilings
We study classical dimers on two-dimensional quasiperiodic Ammann-Beenker (AB) tilings. Using the discrete scale-symmetry of quasiperiodic tilings, we prove that each infinite tiling admits “perfect matchings”, where every vertex is touched by one dimer. We show the appearance of so-called monomer p...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
American Physical Society
2022
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