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Exact ground-state results for the two-orbital Hubbard model at half filling

Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, 2007.
Authors: M.E. Amendola and C. Noce and A. Romano
Editors: Luciano Pietronero and Vittorio Loreto and Stefano Zapperi
URL: http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=627
Tags: correlated excitation fermions gaps hubbard model statphys23 strongly topic-8 two-orbital
Abstract: Exact inequalities between the relevant excitation gaps are derived for the orbitally degenerate Hubbard model. Applying a generalized version of the Lieb's spin-reflection positivity method, it is shown that in the case of half-filling the charge gap is always larger of both the spin excitation gap and the orbital gap, this latter corresponding to the difference in energy of the ground states having orbital quantum numbers differing by one. These exact results are illustrated through the explicit evaluation of the excitation gaps, performed via the diagonalization of the model on small finite-size clusters.
| URL | BibTeX  
@incollection{statphys23_0627,
title = {Exact ground-state results for the two-orbital Hubbard model at half filling},
address = {Genova, Italy},
author = {M.E. Amendola and C. Noce and A. Romano},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Luciano Pietronero and Vittorio Loreto and Stefano Zapperi},
month = {9-13 July},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=627},
year = {2007},
abstract = {Exact inequalities between the relevant excitation gaps are derived for the orbitally degenerate Hubbard model. Applying a generalized version of the Lieb's spin-reflection positivity method, it is shown that in the case of half-filling the charge gap is always larger of both the spin excitation gap and the orbital gap, this latter corresponding to the difference in energy of the ground states having orbital quantum numbers differing by one. These exact results are illustrated through the explicit evaluation of the excitation gaps, performed via the diagonalization of the model on small finite-size clusters.},
keywords = {correlated excitation fermions gaps hubbard model statphys23 strongly topic-8 two-orbital }
}