Non-Abelian topological phases in an extended Hubbard model
| dc.creator | Freedman, Michael | |
| dc.creator | Nayak, Chetan | |
| dc.creator | Shtengel, Kirill | |
| dc.date | 2003-09-04 | |
| dc.date | 2003-09-05 | |
| dc.date.accessioned | 2026-07-07T02:53:18Z | |
| dc.date.available | 2026-07-07T02:53:18Z | |
| dc.description | We describe four closely related Hubbard-like models (models A, B, C and D) of particles that can hop on a 2D Kagome lattice interacting via Coulomb repulsion. The particles can be either bosons (models A and B) or (spinless) fermions (models C and D). Models A and C also include a ring exchange term. In all four cases we solve equations in the model parameters to arrive at an exactly soluble point whose ground state manifold is the extensively degenerate ``d-isotopy space'' $\bar{V}_d$, 0<d<2. Near the ``special'' values, $d = 2 \cos π/k+2$, $\bar{V}_d$ should collapse to a stable topological phase with anyonic excitations closely related to SU(2) Chern-Simons theory at level k. We mention simplified models $A^-$ and $C^-$ which may also lead to these topological phases. | |
| dc.description | 11 pages, 7 figures including 5 in colour | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0309120 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0309120 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/22162 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Non-Abelian topological phases in an extended Hubbard model | |
| dc.type | text |