974 research outputs found
Nonequilibrium transport through a quantum dot weakly coupled to Luttinger liquids
We study the nonequlibrium transport through a quantum dot weakly coupled to
Luttinger liquids (LL). A general current expression is derived by using
nonequilibrium Green function method. Then a special case of the dot with only
a single energy level is discussed. As a function of the dot's energy level, we
find that the current as well as differential conductance is strongly
renormalized by the interaction in the LL leads. In comparison with the system
with Fermi liquid (FL) leads, the current is suppressed, consistent with the
suppression of the electron tunneling density of states of the LL; and the
outset of the resonant tunneling is shifted to higher bias voltages. Besides,
the linear conductance obtained by Furusaki using master equation can be
reproduced from our result.Comment: 8 pages, 3 figures, Late
Submergence of the Sidebands in the Photon-assisted Tunneling through a Quantum Dot Weakly Coupled to Luttinger Liquid Leads
We study theoretically the photon-assisted tunneling through a quantum dot
weakly coupled to Luttinger liquids (LL) leads, and find that the zero bias dc
conductance is strongly affected by the interactions in the LL leads. In
comparison with the system with Fermi liquid (FL) leads, the sideband peaks of
the dc conductance become blurring for 1/2<g<1, and finally merge into the
central peak for g<1/2, (g is the interaction parameter in the LL leads). The
sidebands are suppressed for LL leads with Coulomb interactions strong enough,
and the conductance always appears as a single peak for any strength and
frequency of the external time-dependent field. Furthermore, the quenching
effect of the central peak for the FL case does not exist for g<1/2.Comment: 9 pages, 4 figure
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