Exchange interaction in quantum rings and wires in the Wigner-crystal limit
| dc.creator | Fogler, Michael M. | |
| dc.creator | Pivovarov, Eugene | |
| dc.date | 2005-10-11 | |
| dc.date.accessioned | 2026-07-07T06:44:17Z | |
| dc.date.available | 2026-07-07T06:44:17Z | |
| dc.description | We present a controlled method for computing the exchange coupling in correlated one-dimensional electron systems based on the relation between the exchange constant and the pair-correlation function of spinless electrons. This relation is valid in several independent asymptotic regimes, including low electron density case, under the general condition of a strong spin-charge separation. Explicit formulas for the exchange constant are obtained for thin quantum rings and wires with realistic Coulomb interactions by calculating the pair-correlation function via a many-body instanton approach. A remarkably smooth interpolation between high and low electron density results is shown to be possible. These results are applicable to the case of one-dimensional wires of intermediate width as well. Our method can be easily generalized to other interaction laws, such as the inverse distance squared one of the Calogero-Sutherland-Moser model. We demonstrate excellent agreement with the known exact results for the latter model and show that they are relevant for a realistic experimental setup in which the bare Coulomb interaction is screened by an edge of a two-dimensional electron gas. | |
| dc.description | 12 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0510294 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0510294 | |
| dc.identifier | Phys. Rev. B 72, 195344 (2005) | |
| dc.identifier | doi:10.1103/PhysRevB.72.195344 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102731 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Exchange interaction in quantum rings and wires in the Wigner-crystal limit | |
| dc.type | text |