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Title: 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:
 [1];  [2];  [3];  [4]
  1. Solid State Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831-6030 (United States)
  2. Institutt for Fysikk, Norges Tekniske Hogskole, Universitetet i Trondheim, N-7034 Trondheim (Norway)
  3. School of Physics, University of New South Wales, P.O. Box 1, Kensington, New South Wales 2033 (Australia)
  4. 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}
}