Coulomb scattering cross-section in a 2D electron gas and production of entangled electrons

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dc.creatorSaraga, D. S.
dc.creatorAltshuler, B. L.
dc.creatorLoss, Daniel
dc.creatorWestervelt, R. M.
dc.date2004-08-16
dc.date.accessioned2026-07-07T02:59:47Z
dc.date.available2026-07-07T02:59:47Z
dc.descriptionWe 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.
dc.description19 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0408362
dc.identifierhttp://arxiv.org/abs/cond-mat/0408362
dc.identifierPhys. Rev. B 71, 045338 (2005)
dc.identifierdoi:10.1103/PhysRevB.71.045338
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24650
dc.subjectMesoscale and Nanoscale Physics
dc.titleCoulomb scattering cross-section in a 2D electron gas and production of entangled electrons
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