Cyclic exchange, isolated states and spinon deconfinement in an XXZ Heisenberg model on the checkerboard lattice
| dc.creator | Shannon, Nic | |
| dc.creator | Misguich, Gregoire | |
| dc.creator | Penc, Karlo | |
| dc.date | 2004-03-30 | |
| dc.date | 2004-05-06 | |
| dc.date.accessioned | 2026-07-07T02:57:21Z | |
| dc.date.available | 2026-07-07T02:57:21Z | |
| dc.description | The antiferromagnetic Ising model on a checkerboard lattice has an ice-like ground state manifold with extensive degeneracy. and, to leading order in J_xy, deconfined spinon excitations. We explore the role of cyclic exchange arising at order J^2_xy/J_z on the ice states and their associated spinon excitations. By mapping the original problem onto an equivalent quantum six--vertex model, we identify three different phases as a function of the chemical potential for flippable plaquettes - a phase with long range Neel order and confined spinon excitations, a non-magnetic state of resonating square plaquettes, and a quasi-collinear phase with gapped but deconfined spinon excitations. The relevance of the results to the square--lattice quantum dimer model is also discussed. | |
| dc.description | 4 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0403729 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0403729 | |
| dc.identifier | Phys. Rev. B 69, 220403(R) (2004) | |
| dc.identifier | doi:10.1103/PhysRevB.69.220403 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/23635 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Statistical Mechanics | |
| dc.title | Cyclic exchange, isolated states and spinon deconfinement in an XXZ Heisenberg model on the checkerboard lattice | |
| dc.type | text |