https://doi.org/10.1140/epjb/e2004-00015-3
Interface resistances and AC transport in a Luttinger liquid
Laboratoire de Physique des Solides, Université Paris-Sud, 91405 Orsay, France
Corresponding author: a pham@lps.u-psud.fr
Received:
19
May
2003
Published online:
30
January
2004
We consider a Luttinger liquid (LL) connected to two reservoirs when the
two sample-reservoir interface resistances RS and RD are arbitrary
(not necessarily quantized at half-the-quantum of resistance). We compute
exactly the dynamical impedance of a Luttinger liquid and generalize earlier
expressions for its dynamical conductance in the following situations. (i)
We first consider a gated Luttinger liquid. It is shown that the Luttinger
liquid parameters u and K and the interface resistances RS and RD can be experimentally determined by measuring both the dynamical
conductance and impedance of a gated wire at second order in frequency. The
parallel law addition for the charge relaxation resistance Rq is
explicitly recovered for these non-trivial interface resistances as . (ii) We discuss the AC response when only
one electrode is connected to the LL. (iii) Thirdly we consider application
of an arbitrary AC electric field along the sample and compute the dynamical
response of the LL with arbitrary interface resistances. The discussion is
then specialized to the case of a uniform electric field.
PACS: 73.23.-b – Electronic transport in mesoscopic systems / 71.10.Pm – Fermions in reduced dimensions(anyons, composite fermions, Luttinger liquid, etc.) / 72.30.+q – High-frequency effects; plasma effects
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003