Susy atomic model
| dc.creator | Hopkinson, J. | |
| dc.creator | Coleman, P. | |
| dc.date | 2002-07-03 | |
| dc.date.accessioned | 2026-07-07T02:46:06Z | |
| dc.date.available | 2026-07-07T02:46:06Z | |
| dc.description | We present the simplest model to which one can apply the supersymmetric Hubbard operators recently introduced. For the atomic model, $H=-E_d X_{00}$, where $X_{00} = |0><0|$ is a Hubbard operator and $E_d$ is the energy of the localized spin level, we show how one can develop exact solutions for the entropy and heat capacity as a function of temperature. With this gold standard we are able to develop a controlled approximation scheme to field theoretically treat the susy approximation at the level of mean field + gaussian corrections and test its accuracy against the widely used slave boson and slave fermion approximations. We find that in addition to slave boson and slave fermion solutions, a new class of solutions exists in the physical case Q = 1, N = 2 which can be properly treated by neither previously existing approach. The phase diagram generated by the mean field saddle-point bears a superficial resemblance to the V-shaped phase diagram common to systems close to a quantum critical point and may provide a natural starting point for investigations of strongly correlated models capturing this physics. | |
| dc.description | 4 pages, 1 figure, To be presented at the Strongly Correlated Electron Systems Conference, Krakow 2002 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0207111 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0207111 | |
| dc.identifier | Acta Physica Polonica B, 34, 733 (2003) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19540 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Susy atomic model | |
| dc.type | text |