Abstract:
A scattering approach for correlated one-dimensional systems is developed. The perfect contact to charge reservoirs is encoded in time-dependent boundary conditions. The conductance matrix for an arbitrary gated wire, respecting charge conservation, is expressed through a dynamic scattering matrix. Two applications are developed. First, it is shown that the dc conductance is equal to e 2/h for any model with conserved total left- and right-moving charges. Second, the ac conductance matrix is explicitly computated for the Tomonaga-Luttinger model (TLL).
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Received 31 August 1998
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Safi, I. A dynamic scattering approach for a gated interacting wire. Eur. Phys. J. B 12, 451–455 (1999). https://doi.org/10.1007/s100510051026
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DOI: https://doi.org/10.1007/s100510051026