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

D. S. Saraga, B. L. Altshuler, Daniel Loss, and R. M. Westervelt
Phys. Rev. B 71, 045338 – Published 28 January 2005

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 π2 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.

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  • Received 16 August 2004

DOI:https://doi.org/10.1103/PhysRevB.71.045338

©2005 American Physical Society

Authors & Affiliations

D. S. Saraga1, B. L. Altshuler2, Daniel Loss1, and R. M. Westervelt3

  • 1Department of Physics and Astronomy, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland
  • 2Physics Department, Princeton University, Princeton, New Jersey 08544, USA and NEC Research Institute, 4 Independence Way, Princeton, New Jersey 08540, USA
  • 3Division of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA

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Issue

Vol. 71, Iss. 4 — 15 January 2005

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