Coulomb scattering cross-section in a 2D electron gas and production of entangled electrons
arXiv:cond-mat/0408362 · doi:10.1103/PhysRevB.71.045338
Abstract
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.
arXiv comment19 pages, 10 figures
References in corpus (31)
- Quantum Computation with Quantum Dots
- Quantum Transport in Semiconductor Nanostructures
- Andreev-Tunneling, Coulomb Blockade, and Resonant Transport of Non-Local Spin-Entangled Electrons
- Coherent Branched Flow in a Two-Dimensional Electron Gas
- Electronic Entanglement in the Vicinity of a Superconductor
- Quantum Dot as Spin Filter and Spin Memory
- Two-particle Aharonov-Bohm effect and Entanglement in the electronic Hanbury Brown Twiss setup
- Noise of Entangled Electrons: Bunching and Antibunching
- Orbital entanglement and violation of Bell inequalities in mesoscopic conductors
- Correlated tunneling into a superconductor in a multiprobe hybrid structure
- Production and detection of entangled electron-hole pairs in a degenerate electron gas
- Spin-entangled currents created by a triple quantum dot
- Direct Coulomb and Exchange Interaction in Artificial Atoms
- Noise in an ac biased junction. Non-stationary Aharonov-Bohm effect
- Quantum entanglement in carbon nanotubes
- Superconductor coupled to two Luttinger liquids as an entangler for electron spins
- Rashba spin-orbit interaction and shot noise for spin-polarized and entangled electrons
- Coulomb scattering lifetime of a two-dimensional electron gas
- Electron Entanglement via a Quantum Dot
- Detecting Spin-Polarized Currents in Ballistic Nanostructures
- Generic entanglement generation, quantum statistics and complementarity
- Semiconductor few-electron quantum dot operated as a bipolar spin filter
- Dynamical Coulomb blockade and spin-entangled electrons
- Impurity Scattering Induced Entanglement of Ballistic Electrons
- Frictional drag between quantum wells mediated by phonon exchange
- Electrical current noise of a beam splitter as a test of spin-entanglement
- Lower bound for electron spin entanglement from beamsplitter current correlations
- Universal temperature corrections to Fermi liquid theory in an interacting electron system
- Clauser-Horne inequality for electron counting statistics in multiterminal mesoscopic conductors
- Coulomb scattering in a 2D interacting electron gas and production of EPR pairs
- Kohn-Luttinger pseudo-pairing in a two-dimensional Fermi-liquid
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- Influence of e-e scattering on the temperature dependence of the resistance of a classical ballistic point contact in a two-dimensional electron system
- Singlet-triplet filtering and entanglement in a quantum dot structure
- Momentum dependence of the spin susceptibility in two dimensions: nonanalytic corrections in the Cooper channel
- Entanglement production in chaotic quantum dots subject to spin-orbit coupling
- Clauser-Horne inequality and decoherence in mesoscopic conductors
- Measuring statistics-induced entanglement entropy with a Hong-Ou-Mandel interferometer
- Understanding entangled spins in QED
- 2D Rutherford-Like Scattering in Ballistic Nanodevices
- Quantum Gates Between Distant Qubits via Spin-Independent Scattering
- Fermionic Retroreflection, Hole Jets and Magnetic Steering in 2D Electron Systems