Effective Gauge Theories of Spin Systems
| dc.creator | Hastings, M. B. | |
| dc.date | 2000-11-07 | |
| dc.date | 2000-11-09 | |
| dc.date.accessioned | 2026-07-07T02:39:17Z | |
| dc.date.available | 2026-07-07T02:39:17Z | |
| dc.description | A large variety of microscopic gauge theories can be written for antiferromagnetic spin systems, including $U(1), SU(2)$, and $Z_N$. I consider the question of the appropriate effective gauge theory for such systems. I show that while an SU(N) anti-ferromagnet can be written microscopically as a Z_N gauge theory, for unfrustrated systems, with a two-sublattice structure, there is always an effective U(1) gauge field. The dispersion relation for the gauge field is shown to depend on the presence or absence of charge-conjugation symmetry. Frustrated systems can break the gauge group to a discrete group, but this appears to always involve introducing a gap for the spinons. | |
| dc.description | 4 pages, references added | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0011125 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0011125 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/16995 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Effective Gauge Theories of Spin Systems | |
| dc.type | text |