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Tunneling through an impurity in a Luttinger liquid with an interaction potential of finite range
M. Sassetti , B. Kramer, and G. Cuniberti.
Deutsche Physikalische Gesellschaft, AKF Frühjahrstagung 1997 German Physical Society, Spring Meeting 1997
1997.03; Münster, Germany
| The non-linear transport through a tunnel barrier
in a Luttinger system is investigated for repulsive
electron-electron interaction of finite range
[1]. Depending on whether the electrons are located on
different or on the same sides of the barrier, the
interaction strengths are assumed to be given by
V12 and V11, respectively. The
features of the Coulomb blockade are found in the
current-voltage characteristics when the range of the
interaction potential is non-zero, and if
V12 = 0. In this limit, the parameters of
the semiclassical theory of the Coulomb blockade,
namely the tunneling resistance, the capacitance, and
the impedance of the circuit are identified in terms of
the microscopic parameters of the quantum mechanical
model of the interacting electrons. If V12 =
V11 the current is still suppressed at small
bias voltage but the charging energy vanishes. We
demonstrate that the latter is a consequence of an
exact sum rule. The results are discussed in the light
of experimental findings. [1] M. Sassetti,
G. Cuniberti, B. Kramer, in press
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Prof. Dr. Gianaurelio Cuniberti
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