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Coulomb scattering cross section in a two-dimensional electron gas and production of entangled electrons

Saraga, D. S. and Altshuler, B. L. and Loss, D. and Westervelt, R. M.. (2005) Coulomb scattering cross section in a two-dimensional electron gas and production of entangled electrons. Physical Review B, Vol. 71, H. 4 , 045338, 18 S..

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Official URL: http://edoc.unibas.ch/dok/A5254672

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Abstract

We calculate the Coulomb scattering amplitude for two electrons injected with opposite momenta in an interacting two-dimensional electron gas (2DEG). We include the effect of the Fermi-liquid background by solving the two-dimensional (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.
Faculties and Departments:05 Faculty of Science > Departement Physik > Physik > Theoretische Physik Mesoscopics (Loss)
UniBasel Contributors:Loss, Daniel
Item Type:Article, refereed
Article Subtype:Research Article
Bibsysno:Link to catalogue
Publisher:American Institute of Physics
ISSN:0163-1829
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:22 Mar 2012 14:25
Deposited On:22 Mar 2012 13:48

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