Quantum wire networks with local Z2 symmetry
| dc.creator | Kazymyrenko, K. | |
| dc.creator | Dusuel, S. | |
| dc.creator | Doucot, B. | |
| dc.date | 2005-07-15 | |
| dc.date | 2005-11-09 | |
| dc.date.accessioned | 2026-07-07T06:41:22Z | |
| dc.date.available | 2026-07-07T06:41:22Z | |
| dc.description | For a large class of networks made of connected loops, in the presence of an external magnetic field of half flux quantum per loop, we show the existence of a large local symmetry group, generated by simultaneous flips of the electronic current in all the loops adjacent to a given node. Using an ultra-localized single particle basis adapted to this local Z_2 symmetry, we show that it is preserved by a large class of interaction potentials. As a main physical consequence, the only allowed tunneling processes in such networks are induced by electron-electron interactions and involve a simultaneous hop of two electrons. Using a mean-field picture and then a more systematic renormalization-group treatment, we show that these pair hopping processes do not generate a superconducting instability, but they destroy the Luttinger liquid behavior in the links, giving rise at low energy to a strongly correlated spin-density-wave state. | |
| dc.description | 16 pages, 9 figures, v.2 section IV D added,accepted for publication in PRB | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0507376 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0507376 | |
| dc.identifier | Phys. Rev. B 72, 235114 (2005) | |
| dc.identifier | doi:10.1103/PhysRevB.72.235114 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101643 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Superconductivity | |
| dc.title | Quantum wire networks with local Z2 symmetry | |
| dc.type | text |