Application of the generalized 3D Jordan-Wigner transformation to the bilayer Heisenberg antiferromagnet
| dc.creator | Bock, B. | |
| dc.creator | Azzouz, M. | |
| dc.date | 2000-07-15 | |
| dc.date.accessioned | 2026-07-07T02:38:13Z | |
| dc.date.available | 2026-07-07T02:38:13Z | |
| dc.description | We extend the definition of the Jordan-Wigner transformation to three dimensions using the generalization of ideas that were used in the two-dimensional case by one of the present authors. Under this transformation, the 3D XY Hamiltonian is transformed into a system of spinless fermions coupled to a gauge field with only two components. We calculate the flux per plaquette for the 3 elementary perpendicular plaquettes of a cubic lattice, and find that it is nonzero for only two of the plaquettes. We provide a simple interpretation for the average phase-per-plaquette being $π$ on the plaquettes where it is nonzero. Then we apply these findings to the investigation of the Heisenberg bilayer antiferromagnet. | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0007261 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0007261 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/16588 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Application of the generalized 3D Jordan-Wigner transformation to the bilayer Heisenberg antiferromagnet | |
| dc.type | text |