Phase separation in the neutral Falicov-Kimball model
| dc.creator | Kennedy, Tom | |
| dc.date | 1997-05-30 | |
| dc.date.accessioned | 2026-07-07T03:09:05Z | |
| dc.date.available | 2026-07-07T03:09:05Z | |
| dc.description | The Falicov-Kimball model consists of spinless electrons and classical particles (ions) on a lattice. The electrons hop between nearest neighbor sites while the ions do not. We consider the model with equal numbers of ions and electrons and with a large on-site attractive force between ions and electrons. For densities 1/4 and 1/5 the ion configuration in the ground state had been proved to be periodic. We prove that for density 2/9 it is periodic as well. However, for densities between 1/4 and 1/5 other than 2/9 we prove that the ion configuration in the ground state is not periodic. Instead there is phase separation. For densities in (1/5,2/9) the ground state ion configuration is a mixture of the density 1/5 and 2/9 ground state ion configurations. For the interval (2/9,1/4) it is a mixture of the density 2/9 and 1/4 ground states. | |
| dc.description | 14 pages, latex file and 3 postscript figures. Figures are included using the epsf macros | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9705315 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9705315 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27746 | |
| dc.subject | Condensed Matter | |
| dc.title | Phase separation in the neutral Falicov-Kimball model | |
| dc.type | text |