Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-01-29
Europhys. Lett. 82, 31001 (2008)
Physics
Condensed Matter
Strongly Correlated Electrons
6 pages, 2 figures, published version
Scientific paper
10.1209/0295-5075/82/31001
The Barnes slave boson approach to the $U=\infty$ single impurity Anderson model extended by a non-local Coulomb interaction is revisited. We demonstrate first that the radial gauge representation facilitates the treatment of such a non-local interaction by performing the \emph{exact} evaluation of the path integrals representing the partition function, the impurity hole density and the impurity hole density autocorrelation function for a two-site cluster. The free energy is also obtained on the same footing. Next, the exact results are compared to their approximations at saddle-point level, and it is shown that the saddle point evaluation recovers the exact answer in the limit of strong non-local Coulomb interaction, while the agreement between both schemes remains satisfactory in a large parameter range.
Fresard Raymond
Kopp Thilo
Ouerdane Henni
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