Europhys. Lett, 47 (2), pp. 227-232 (1999)
A self-consistent analytic treatment of two holes in the t-J model
H. Barentzen and V. Oudovenko
Max-Planck-Institut für Festkörperforschung
Heisenbergstraße 1, 70569 Stuttgart, Germany
(received 29 March 1999; accepted in final form 19 May 1999)
PACS. 71.27 - Strongly correlated electron systems; heavy fermions.
PACS. 74.72 - High- compounds.
PACS. 75.10Jm - Quantized spin models.
The behavior of two holes in the t-J model is analyzed on the infinite square lattice by an extension of the self-consistent Born approximation, which has proved to be very accurate in the single-hole problem. The main ingredient of our theory is the exact form of the eigenstates. Our results agree well with those of previous numerical studies of the problem. The d-wave bound state is found to have the lowest energy with a critical value , and there is no indication for a crossover between the d-wave and the p-wave bound states.
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