A dynamic scattering approach for a gated interacting wire |
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| Authors: | I. Safi |
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| Affiliation: | (1) Service de Physique de l'état Condensé, CEA, Centre d'études de Saclay 91191 Gif-sur-Yvette Cedex, France and Centre de Physique Théorique, Luminy-Case 907, 13288 Marseille Cedex 9, France, FR |
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| 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). Received 31 August 1998 |
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| Keywords: | PACS. 71.10.Pm Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) - 72.10.-d Theory of electronic transport scattering mechanisms - 73.23.-b Mesoscopic systems |
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