Article,

Exact quantum ground state of a two-dimensional quasicrystalline antiferromagnet

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Phys. Rev. B, 108 (1): 014426 (Jul 24, 2023)
DOI: 10.1103/PhysRevB.108.014426

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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