Quaternate generalization of Pfaffian state at $ν=5/2$
| dc.creator | Yu, Yue | |
| dc.date | 2008-01-23 | |
| dc.date.accessioned | 2026-07-07T08:56:03Z | |
| dc.date.available | 2026-07-07T08:56:03Z | |
| dc.description | We consider a quaternately generalized Pfaffian QGPf$(\frac{1}{J(z_i,z_j,z_k,z_l)})[J(z_1,...,z_N)]^2$ in which the square of Vandermonde determinant, $[J(z_1,...,z_N)]^2$, implies the upmost Landau level is half filled. This wave function is the unique highest density zero energy state of a special short range interacting Hamiltonian. One can think this quaternate composite fermion liquid as a competing ground state of Moore-Read (MR) Pfaffian state at $ν=5/2$. The degeneracy of the quasihole excitations above the QGPf is higher than that of Moore-Read even Read-Rezayi quasiholes. The QGPf is related to a unitary conformal field theory with $Z_2\times Z_2$ parafermions in coset space $SU(3)_2/U(1)^2$ . Because of the level-rank duality between $SU(3)_2$ and $SU(2)_3$ in conformal field theory, these quasiholes above this QGPf state obeying non-abelian anyonic statistics are expected to support the universal quantum computation at $ν=5/2$ as Read-Rezayi quasiholes at $ν=13/5$. The edge states of QGPf are very different from those of the Pfaffian's. | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/0801.3541 | |
| dc.identifier | http://arxiv.org/abs/0801.3541 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146476 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quaternate generalization of Pfaffian state at $ν=5/2$ | |
| dc.type | text |