Short-range Correlations in Degenerate Multicomponent Plasmas

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

“…By considering only the ladder diagrams in the Goldstone formula for the energy shift [16], Yasuhara [21][22][23] found a closed expression for the contact pair correlation between electrons in the degenerate 3D jellium at metallic densities. Recently we have generalized this result to 3D multicomponent fermionic systems whose species have arbitrary masses, charges and densities [24,25].…”

“…), we can approximate equation ( 12) by replacing the term in brackets by its value at k 1 = k 2 = 0 [21][22][23][24][25][26][27]. Using the notation I αβ (q) ≡ I αβ (0, 0; q), we obtain…”

“…However, we try to find an approximate value for it that is valid for any system. To this end, we observe that, instead of equation (24), the exact corrective term should be…”

Ladder approximation in coupled quantum-well systems

“…[8][9][10][11][12][13] Freeman 14 studied the correlation energy and antiparallel spin paircorrelation function of the two-dimensional electron gas within the particle-particle approximation of the coupledcluster equations making contact to the ladder approximation. Recently, an extension of the ladder theory to multicomponent systems were given in a series of papers by Vericat and Melgarejo, 15 Pugnaloni, Melgarejo, and Vericat 16 and Melgarejo et al 17 in connection with photoexcited electron-hole systems in quantum wells and quantum wires. We employ the multicomponent generalization of the ladder theory in application to double-layer electron-electron and electron-hole systems and particularly calculate the contact values of the pair-correlation function for these systems.…”