Frequency dependent transport of one dimensional correlated electrons
G. Cuniberti , M. Sassetti, and B. Kramer
NATO ASI ``Mesoscopic Electron Transport''
1996.06; Curaçao, Netherlands Antilles
Transport properties of one dimensional correlated
electrons have been studied via the Luttinger
liquid model [1,2]. Some of the results found are
presented here. For a pure Luttinger liquid (no
barriers) the non-local conductivity is determined.
The frequency dependent conductance is calculated in
the presence of a longitudinal monochromatic electric
field, applied to a finite interval of the system. We
treat several forms of the interaction potential with
finite range. The conductance, as a function of the
frequency, shows features that are a signature of
elementary excitations. They can be interpreted in
terms of a quantum capacitance and inductance. The
influence of a finite range of the interactions is also
studied for a tunnel barrier in a Luttinger liquid. The
non linear DC conductance shows a charging energy
associated to the tunnel barrier. This provides a
microscopic understanding of earlier phenomenological
approaches. The dependence of the charging energy on
the strength and the range of the interactions is
 G. Cuniberti, M.
Sassetti, and B. Kramer, J. Phys. Cond. Mat., 8,
 G. Cuniberti, M. Sassetti, and B.
Kramer, Physica B., in press.
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Prof. Dr. Gianaurelio Cuniberti
Institute for Materials Science
visitors and courier address:
01062 Dresden, Germany