Photo-induced tunneling in quantum wires
2nd Euroconference on Trends in Optical Nonlinear Dynamics. Physical Problems and Applications
1999.10; Münster, Germany
I investigate the time-dependent transport through a
quantum wire with an impurity in the presence of
finite range electron-electron interactions within the
Luttinger liquid description [1,2,3]. I discuss the
influence of the spatial shape of the ac electric
field onto transport properties of the system and find
that the scaling behavior of the occupation probability
of the sidebands depends on the spatial range of the
voltage drop. I observe a cross-over between the
Tien-Gordon scaling  of the sidebands and a regime
in which the scaling reflects the ranges of both, the
electron-electron interaction and the electric field.
Moreover, for intermediate interaction strengths, the
nonlinear differential conductance shows cusp like
periodic minima, with a similar activation mechanism as
the one predicted for fractional quantum Hall edge
states . These mode lockings are here due to the
finite nonzero range of the interaction and are
independent of the shape of the driving electric
 H.J. Schulz, G. Cuniberti, and
P. Pieri. Fermi Liquids and Luttinger
Liquids. In ``Field theories for low-dimensional
condensed matter systems'' G. Morandi, A. Tagliacozzo
and P. Sodano Editors. Springer (1999).
G. Cuniberti et al. AC-conductance of
quantum wire with electron-electron interaction.
Phys. Rev. B 56, 1515 (1998).
Cuniberti et al. Frequency scaling of
photo- induced tunneling. To appear in Europhys.
 P.K. Tien, and J.P. Gordon.
Multiphoton process observed in the interaction of
microwave fields with the tunneling between
superconductor films. Phys. Rev. B 129,
 H.H. Lin, and M.P.A. Fisher.
Mode locking in quantum Hall effect point
contacts Phys. Rev. B 54, 10593 (1996-I).
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Prof. Dr. Gianaurelio Cuniberti
Institute for Materials Science
visitors and courier address:
01062 Dresden, Germany