Contact correlations of charged fermions in two dimensions and the electron-hole plasma lifetime in semiconductor quantum wells

PUGNALONI, LUIS A.; MELGAREJO, AUGUSTO A.; VERICAT, FERNANDO

JOURNAL OF PHYSICS CONDENSED MATTER

IOP PUBLISHING LTD

Lugar: [Bristol]; Año: 1999 vol. 11 p. 2607 - 2617

0953-8984

We consider a multicomponent ensemble of charged fermions which are constrained to move on the plane. By just retaining particle?particle ladder diagrams in Goldstone?s expression for the energy shift and approximating the kernel of the resultant integral equation, we obtain for this system an analytical Yasuhara-like formula for the contact pair correlations that includes screening effects. An undesirable pseudo-screening due to the kernel approximation is overcome by adding a corrective term into the integral equation. In particular, we use the case in which the system has only two species of opposite charge to model a quantum well as a two-dimensional electron?hole plasma. The electron?hole correlation at contact so calculated is taken as the enhancement factor in the photoluminescence from the quantum well and it is checked against available experimental data for the density dependence of the electron?hole plasma lifetime.