Europhys. Lett.
Volume 47, Number 2, July 1999
Page(s) 227 - 232
Section Condensed matter: electronic structure, electrical, magnetic and optical properties
Published online 01 September 2002
DOI: 10.1209/epl/i1999-00376-7

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${\rm +a}$ - Strongly correlated electron systems; heavy fermions.
PACS. 74.72${\rm -h}$ - High-$T_{\rm c}$ 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 $J/t\vert _{\rm c}\approx 0.4$, and there is no indication for a crossover between the d-wave and the p-wave bound states.


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