https://doi.org/10.1007/s100510051026
A dynamic scattering approach for a gated interacting wire
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
Corresponding author: a safi@cpt.univ-mrs.fr
Received:
31
August
1998
Published online: 15 December 1999
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 
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).
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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999
