Exact quantum ground state of a two-dimensional quasicrystalline antiferromagnet
Strongly Correlated Electrons
2023-10-04 v2
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.
Keywords
Cite
@article{arxiv.2301.11331,
title = {Exact quantum ground state of a two-dimensional quasicrystalline antiferromagnet},
author = {Pratyay Ghosh},
journal= {arXiv preprint arXiv:2301.11331},
year = {2023}
}
Comments
7 pages, 6 figures