A standard many-body method, based on the spherical-harmonics representation of the Bethe-Salpeter ladder solution for the two-particle scattering amplitude in two-dimensional jellium electron gases, is applied to determine a pair formation temperature Tp from the pole of the pairing vertex. In this method, pairing may occur due to attractive spherical harmonics in the input interparticle interaction. The comparative study was performed with parametrized models for this interaction obtained by considering the real-space aspects of screening holes around moving electrons. The theoretical, maximal pair formation temperatures are in the ∼100K range and appear at small values of the density of the jellium system.

The work of I.N. was supported partly by the Hungarian OTKA -Grant No. T049571 and that of N.Z. and P.M.E. by the University of Basque Country and the Basque Unibertsitate eta Ikerketa Saila GV-UPV/EHU s/n Grant No. IT-366-07 and the Spanish MCyT Grant No. FIS2007-66711-C02-01

Peer reviewed