Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2004-08-16
Phys. Rev. B 71, 045338 (2005)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
19 pages, 10 figures
Scientific paper
10.1103/PhysRevB.71.045338
We calculate the Coulomb scattering amplitude for two electrons injected with opposite momenta in an interacting 2DEG. We include the effect of the Fermi liquid background by solving the 2D Bethe-Salpeter equation for the two-particle Green function vertex, in the ladder and random phase approximations. This result is used to discuss the feasibility of producing spin EPR pairs in a 2DEG by collecting electrons emerging from collisions at a pi/2 scattering angle, where only the entangled spin-singlets avoid the destructive interference resulting from quantum indistinguishability. Furthermore, we study the effective 2D electron-electron interaction due to the exchange of virtual acoustic and optical phonons, and compare it to the Coulomb interaction. Finally, we show that the 2D Kohn-Luttinger pairing instability for the scattering electrons is negligible in a GaAs 2DEG.
Altshuler Boris L.
Loss Daniel
Saraga Daniel S.
Westervelt Robert M.
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