Microscopic mechanisms of dephasing due to electron-electron interactions

Details Microscopic mechanisms of dephasing due to electron-electron interactions Microscopic mechanisms of dephasing due to electron-electron interactions

2003-05-15

arxiv.org/abs/cond-mat/0305335v1

Phys. Rev. B, 68 085313 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 16 figures Submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.68.085313

We develop a non-perturbative numerical method to study tunneling of a single electron through an Aharonov-Bohm ring where several strongly interacting electrons are bound. Inelastic processes and spin-flip scattering are taken into account. The method is applied to study microscopic mechanisms of dephasing in a non-trivial model. We show that electron-electron interactions described by the Hubbard Hamiltonian lead to strong dephasing: the transmission probability at flux $\Phi=\pi$ is high even at small interaction strength. In addition to inelastic scattering, we identify two energy conserving mechanisms of dephasing: symmetry-changing and spin-flip scattering. The many-electron state on the ring determines which of these mechanisms will be at play: transmitted current can occur either in elastic or inelastic channels, with or without changing the spin of the scattering electron.

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