AC transport in a quantum wire
G. Cuniberti , M. Sassetti, and B. Kramer
184th Wilhelm Heinrich und Else Heraeus Seminar on ``Ac and Time Dependent Quantum Transport''
1997.10; Bad Honnef, Germany
The non linear transport in a Luttinger liquid,
modeling a quantum wire, is considered for a general
time dependent driving electric field, in presence of
an impurity. It is explicitly shown that only in the
dc limit the current is independent on the spatial
shape of the electric field. Without the impurity
linear response theory is exact. The intrinsic ac
conductance of the system results proportional to the
derivative of the inverse of the dispersion relation.
For non zero range interactions between the electrons,
it shows a resonance at a finite frequency which is
related to plasmon--like charge wave excitation. The
complex conductance is analyzed in terms of parameters
that are quantum analogs of classical impedances.
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Prof. Dr. Gianaurelio Cuniberti
Institute for Materials Science
visitors and courier address:
01062 Dresden, Germany