Ground state properties of the neutral two-dimensional Falicov-Kimball model
| dc.contributor.advisor | Kennedy, Thomas G. | en_US |
| dc.contributor.author | Haller, Karl Paul, 1967- | |
| dc.creator | Haller, Karl Paul, 1967- | en_US |
| dc.date.accessioned | 2013-04-18T10:00:12Z | en |
| dc.date.available | 2013-04-18T10:00:12Z | en |
| dc.date.issued | 1998 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10150/282718 | en |
| dc.description.abstract | We focus on the two-dimensional Falicov-Kimball model in the neutral case with U >> 0. We determine the ground state ion configurations for all rational densities in (1/3, 2/5), as well as densities 1/6 and 2/11. We also determine the ground states for a sequence of densities starting at 1/5 and converging to 0. On the interval (1/3, 2/5) we show that the ground states are periodic, having the same structure as the one-dimensional ground states. For densities between 1/6 and 2/11 we show that the ground states exhibit a phase separation. | |
| dc.language.iso | en_US | en_US |
| dc.publisher | The University of Arizona. | en_US |
| dc.rights | Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author. | en_US |
| dc.subject | Mathematics. | en_US |
| dc.title | Ground state properties of the neutral two-dimensional Falicov-Kimball model | en_US |
| dc.type | text | en_US |
| dc.type | Dissertation-Reproduction (electronic) | en_US |
| thesis.degree.grantor | University of Arizona | en_US |
| thesis.degree.level | doctoral | en_US |
| dc.identifier.proquest | 9901688 | en_US |
| thesis.degree.discipline | Graduate College | en_US |
| thesis.degree.discipline | Applied Mathematics | en_US |
| thesis.degree.name | Ph.D. | en_US |
| dc.identifier.bibrecord | .b3882517x | en_US |
| refterms.dateFOA | 2018-06-12T17:57:02Z | |
| html.description.abstract | We focus on the two-dimensional Falicov-Kimball model in the neutral case with U >> 0. We determine the ground state ion configurations for all rational densities in (1/3, 2/5), as well as densities 1/6 and 2/11. We also determine the ground states for a sequence of densities starting at 1/5 and converging to 0. On the interval (1/3, 2/5) we show that the ground states are periodic, having the same structure as the one-dimensional ground states. For densities between 1/6 and 2/11 we show that the ground states exhibit a phase separation. |
