Phase transitions on the edge of the ν=5/2 Pfaffian and anti-Pfaffian quantum Hall state
| dc.creator | Overbosch, B. J. | |
| dc.creator | Wen, Xiao-Gang | |
| dc.date | 2008-04-13 | |
| dc.date.accessioned | 2026-07-07T09:32:11Z | |
| dc.date.available | 2026-07-07T09:32:11Z | |
| dc.description | Starting from the edge reconstructed Pfaffian state and the anti-Pfaffian state for the filling fraction $ν={5/2}$ fractional quantum Hall (FQH) state with the filled Landau levels included, we find that interactions between counterpropagating edge modes can induce phase transitions on the edge. In the new `Majorana-gapped' phases, a pair of counter propagating neutral Majorana modes becomes gapped. The quasiparticle tunneling exponent changes from $g=1/4$ to $g=1/2$ for the edge reconstructed Pfaffian state, and changes from $g=1/2$ to $g=0.55-0.75$ for the anti-Pfaffian state, in the new Majorana-gapped phases. The new phases are candidate states for the observed $ν={5/2}$ state. Furthermore, Majorana-gapped phases provide examples that non-trivial quantum phase transitions can happen on the edge of a FQH state without any change in bulk topological order. | |
| dc.description | 11 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0804.2087 | |
| dc.identifier | http://arxiv.org/abs/0804.2087 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158723 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Phase transitions on the edge of the ν=5/2 Pfaffian and anti-Pfaffian quantum Hall state | |
| dc.type | text |