Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2009-11-09
J. Phys.: Condens. Matter 23 (2011) 065601
Physics
Condensed Matter
Strongly Correlated Electrons
17 pages, 5 figures; the text is reorganized somewhat as compared to the preprint's previous version; an extra figure is added
Scientific paper
10.1088/0953-8984/23/6/065601
The Hubbard-I approximation is generalized to allow for direct evaluation of the equal-time anomalous two-electron propagator for Hubbard model on two-dimensional square lattice. This propagator is compared against the quantum Monte Carlo data obtained by Aimi and Imada [J. Phys. Soc. Jpn. {\bf 76}, 113708 (2007)] in the limit of strong electron-electron interaction. The Hubbard-I predictions are in a good qualitative agreement with the Monte Carlo results. In particular, $d$-wave correlations decay as $c r^{-3}$ ("free electron" behaviour), if separation $r$ exceeds 2-3 lattice constants. However, the Hubbard-I approximation underestimates coefficient $c$ by a factor of about three. We conclude that the Hubbard-I approximation, despite its simplicity and artefacts, captures the qualitative behaviour of the two-particle propagator for the Hubbard model, at least for moderate values of $r$.
Rakhmanov A. L.
Rozhkov A. V.
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