High-temperature series expansion for the extended Hubbard model
Abstract
We study the single-band Hubbard model, extended by an intersite interaction {ital W}. The method used is the high-temperature series expansion. Series to the sixth order are obtained for the grand canonical potential {Omega}, staggered magnetic susceptibility {chi}{sub AF}, charge-ordered susceptibility {chi}{sub CO}, and compressibility {ital K}. These series are derived with general values of {ital W} and the intrasite interaction {ital U}, for half-filling ({ital n}=1) on a simple cubic lattice. We find that the antiferromagnetic phase is stabilized by repulsive {ital W}, in the limit of strong intrasite repulsion. The effect of nonzero hopping {ital t} on the charge-ordered and condensed phases is also examined. We find that the critical temperature for transition to a condensed phase is reduced, while the charge-ordered phase is destabilized by {ital t} for small, positive, or negative {ital U}, and stabilized for large, negative {ital U}.
- Authors:
-
- Solid State Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831-6030 (United States)
- Institutt for Fysikk, Norges Tekniske Hogskole, Universitetet i Trondheim, N-7034 Trondheim (Norway)
- School of Physics, University of New South Wales, P.O. Box 1, Kensington, New South Wales 2033 (Australia)
- Centro Internacional de Fisica da Materia Condensada, Universidade de Brasilia, Caixa Postal 04667, Brasilia Distrito Federal (Brazil)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- OSTI Identifier:
- 69926
- DOE Contract Number:
- AC05-84OR21400
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review, B: Condensed Matter
- Additional Journal Information:
- Journal Volume: 51; Journal Issue: 20; Other Information: PBD: 15 May 1995
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 66 PHYSICS; HUBBARD MODEL; SERIES EXPANSION; THERMAL EXPANSION; MAGNETIC SUSCEPTIBILITY; COMPRESSIBILITY; PHASE TRANSFORMATIONS; CRITICAL TEMPERATURE; THERMODYNAMIC PROPERTIES
Citation Formats
Bartkowiak, M, Henderson, J A, Oitmaa, J, and de Brito, P E. High-temperature series expansion for the extended Hubbard model. United States: N. p., 1995.
Web. doi:10.1103/PhysRevB.51.14077.
Bartkowiak, M, Henderson, J A, Oitmaa, J, & de Brito, P E. High-temperature series expansion for the extended Hubbard model. United States. https://doi.org/10.1103/PhysRevB.51.14077
Bartkowiak, M, Henderson, J A, Oitmaa, J, and de Brito, P E. 1995.
"High-temperature series expansion for the extended Hubbard model". United States. https://doi.org/10.1103/PhysRevB.51.14077.
@article{osti_69926,
title = {High-temperature series expansion for the extended Hubbard model},
author = {Bartkowiak, M and Henderson, J A and Oitmaa, J and de Brito, P E},
abstractNote = {We study the single-band Hubbard model, extended by an intersite interaction {ital W}. The method used is the high-temperature series expansion. Series to the sixth order are obtained for the grand canonical potential {Omega}, staggered magnetic susceptibility {chi}{sub AF}, charge-ordered susceptibility {chi}{sub CO}, and compressibility {ital K}. These series are derived with general values of {ital W} and the intrasite interaction {ital U}, for half-filling ({ital n}=1) on a simple cubic lattice. We find that the antiferromagnetic phase is stabilized by repulsive {ital W}, in the limit of strong intrasite repulsion. The effect of nonzero hopping {ital t} on the charge-ordered and condensed phases is also examined. We find that the critical temperature for transition to a condensed phase is reduced, while the charge-ordered phase is destabilized by {ital t} for small, positive, or negative {ital U}, and stabilized for large, negative {ital U}.},
doi = {10.1103/PhysRevB.51.14077},
url = {https://www.osti.gov/biblio/69926},
journal = {Physical Review, B: Condensed Matter},
number = 20,
volume = 51,
place = {United States},
year = {Mon May 15 00:00:00 EDT 1995},
month = {Mon May 15 00:00:00 EDT 1995}
}