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arXiv · 2301.11331

Exact quantum ground state of a two-dimensional quasicrystalline antiferromagnet

Pratyay Ghosh
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Abstract

We present the exact dimer ground state of a quantum antiferromagnet defined on a quasicrystal constructed from the Bronze-mean hexagonal quasicrystal. A coupling isotropy on the first and second-neighbor bonds is sufficient to stabilize a product state of singlets on the third-neighbor bonds. We also provide a systematic approach for constructing additional crystals, quasicrystals, and amorphous structures that can sustain an exact dimer ground state.

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Pratyay Ghosh. 2023-01-26. Exact quantum ground state of a two-dimensional quasicrystalline antiferromagnet. https://doi.org/10.1103/physrevb.108.014426

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