Superconfined Antiferromagnons on the Two-Dimensional Penrose Lattice
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866910250998693888 |
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| author | Inoue, Takashi Yamamoto, Shoji |
| author_facet | Inoue, Takashi Yamamoto, Shoji |
| contents | We find novel confined states in the spin-$S$ nearest-neighbor antiferromagnetic Heisenberg model on the two-dimensional Penrose lattice. Linear spin waves have massively degenerate eigenstates strictly confined to tricoordinated sites. They contrast with the well-known itinerant analogs in the tight-binding model, where electrons are confined but extended to both tricoordinated and pentacoordinated sites. It is the site potentials in the spin-wave Hamiltonian, originating from Coulomb interactions between electrons, that confine spin waves to minimally coordinated sites only. Confined states in the tight-binding Hamiltonian consist of six types of building blocks, whereas those in the spin-wave Hamiltonian consist of only four of them. Confined spin waves are robust against $1/S$ corrections. Emergent $O(S^{0})$ interactions further confine -- superconfine -- spin waves into two separate groups within tricoordinated sites. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_24430 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Superconfined Antiferromagnons on the Two-Dimensional Penrose Lattice Inoue, Takashi Yamamoto, Shoji Strongly Correlated Electrons Mathematical Physics We find novel confined states in the spin-$S$ nearest-neighbor antiferromagnetic Heisenberg model on the two-dimensional Penrose lattice. Linear spin waves have massively degenerate eigenstates strictly confined to tricoordinated sites. They contrast with the well-known itinerant analogs in the tight-binding model, where electrons are confined but extended to both tricoordinated and pentacoordinated sites. It is the site potentials in the spin-wave Hamiltonian, originating from Coulomb interactions between electrons, that confine spin waves to minimally coordinated sites only. Confined states in the tight-binding Hamiltonian consist of six types of building blocks, whereas those in the spin-wave Hamiltonian consist of only four of them. Confined spin waves are robust against $1/S$ corrections. Emergent $O(S^{0})$ interactions further confine -- superconfine -- spin waves into two separate groups within tricoordinated sites. |
| title | Superconfined Antiferromagnons on the Two-Dimensional Penrose Lattice |
| topic | Strongly Correlated Electrons Mathematical Physics |
| url | https://arxiv.org/abs/2605.24430 |