Abstract: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.
| Comments: | 18 pages, 13 figures |
| Subjects: | Strongly Correlated Electrons (cond-mat.str-el); Mathematical Physics (math-ph) |
| Cite as: | arXiv:2605.24430 [cond-mat.str-el] |
| (or arXiv:2605.24430v1 [cond-mat.str-el] for this version) | |
| https://doi.org/10.48550/arXiv.2605.24430 arXiv-issued DOI via DataCite (pending registration) |
From: Takashi Inoue [view email]
[v1]
Sat, 23 May 2026 06:56:12 UTC (11,576 KB)
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