A simple model for describing a lattice with a double occupancy
| dc.creator | Voroshilov, Valentin | |
| dc.date | 2007-12-26 | |
| dc.date | 2008-01-11 | |
| dc.date.accessioned | 2026-07-07T08:53:36Z | |
| dc.date.available | 2026-07-07T08:53:36Z | |
| dc.description | A simple model is presented to investigate an impact of the double occupied sites on the ground state energy of a lattice. The model is seen as a useful tool to introduce undergraduate or graduate physics students to an array of a relatively simple mathematical apparatus and physical ideas which they can choose later for a deeper study. Instead of analyzing a system of electrons in a periodic potential, a system of sites having different energy states related to a number of extra electrons at a site is considered. The simplification is achieved by introducing operators for one-electron sites and two-electron sites as independent entities. A simple modeling function for the ground state of the system is constructed. Linear and quadratic lattices are considered. For a quadratic lattice the existence of a critical temperature is shown. | |
| dc.description | a small cosmetic correction of the first version | |
| dc.identifier | https://arxiv.org/abs/0712.3997 | |
| dc.identifier | http://arxiv.org/abs/0712.3997 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145678 | |
| dc.subject | Other Condensed Matter | |
| dc.title | A simple model for describing a lattice with a double occupancy | |
| dc.type | text |