Periodic ground states in simple models of itinerant fermions interacting with classical fields

N. Macris

Physica A: Statistical Mechanics and its Applications, 1996, vol. 232, issue 3, 648-656

Abstract: A model of itinerant lattice electrons interacting with classical nuclei is studied. The electrons can interact between themselves via a Hubbard on-site term. It is shown that, in the ground state of the half-filled band, the nuclei form a periodic crystal. More precisely for a cubic lattice they form a chessboard state under some appropriate condition on the hopping matrix. This generalizes known results previously obtained for the Falicov-Kimball model. The case where fermions are replaced by hard-core bosons in this later model is also discussed. More generally models of fermions interacting with classical scalar or vector fields are briefly considered. The mathematical technique used is “reflection positivity” adapted to the case of Fermi statistics.

Date: 1996
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437196001744
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:232:y:1996:i:3:p:648-656

DOI: 10.1016/0378-4371(96)00174-4

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().