MIFP RESEARCH MEMBERS' PUBLICATIONS

MEMBERS' PUBLICATIONS

File: Barnes slave-boson approach to the two-site single-impurity Anderson model with non-local interaction

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R. Fr´esard, H. Ouerdane and T. Kopp

The Barnes slave-boson approach to the U = ∞ 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 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.

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