Applying voltage sources to a Luttinger liquid with arbitrary transmission

Details Applying voltage sources to a Luttinger liquid with arbitrary transmission Applying voltage sources to a Luttinger liquid with arbitrary transmission

1998-05-21

arxiv.org/abs/cond-mat/9805268v1

Phys. Rev. B 58, 10761 (1998).

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages REVTeX, incl 2 figs

Scientific paper

10.1103/PhysRevB.58.10761

The Landauer approach to transport in mesoscopic conductors has been generalized to allow for strong electronic correlations in a single-channel quantum wire. We describe in detail how to account for external voltage sources in adiabatic contact with a quantum wire containing a backscatterer of arbitrary strength. Assuming that the quantum wire is in the Luttinger liquid state, voltage sources lead to radiative boundary conditions applied to the displacement field employed in the bosonization scheme. We present the exact solution of the transport problem for arbitrary backscattering strength at the special Coulomb interaction parameter g=1/2.

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