Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2210.00012 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916089594642432 |
|---|---|
| author | Sanyal, Sambuddha Wietek, Alexander Sous, John |
| author_facet | Sanyal, Sambuddha Wietek, Alexander Sous, John |
| contents | We study a model of a hole-doped collinear Ising antiferromagnet on the honeycomb lattice as a route toward the realization of subsystem symmetry. We find nearly exact conservation of dipole symmetry verified both numerically with exact diagonalization (ED) on finite clusters and analytically with perturbation theory. The emergent symmetry forbids the motion of single holes -- or fractons -- but allows hole pairs -- or dipoles -- to move freely along a one-dimensional line, the antiferromagnetic direction, of the system; in the transverse direction, both fractons and dipoles are completely localized. This presents a realization of a `unidirectional' subsystem symmetry. By studying interactions between dipoles, we argue that the subsystem symmetry is likely to continue to persist up to finite (but probably small) hole concentrations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_00012 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Unidirectional subsystem symmetry in a hole-doped honeycomb-lattice Ising magnet Sanyal, Sambuddha Wietek, Alexander Sous, John Strongly Correlated Electrons We study a model of a hole-doped collinear Ising antiferromagnet on the honeycomb lattice as a route toward the realization of subsystem symmetry. We find nearly exact conservation of dipole symmetry verified both numerically with exact diagonalization (ED) on finite clusters and analytically with perturbation theory. The emergent symmetry forbids the motion of single holes -- or fractons -- but allows hole pairs -- or dipoles -- to move freely along a one-dimensional line, the antiferromagnetic direction, of the system; in the transverse direction, both fractons and dipoles are completely localized. This presents a realization of a `unidirectional' subsystem symmetry. By studying interactions between dipoles, we argue that the subsystem symmetry is likely to continue to persist up to finite (but probably small) hole concentrations. |
| title | Unidirectional subsystem symmetry in a hole-doped honeycomb-lattice Ising magnet |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2210.00012 |