Nonequilibrium transport through a quantum dot weakly coupled to Luttinger liquids

Details Nonequilibrium transport through a quantum dot weakly coupled to Luttinger liquids Nonequilibrium transport through a quantum dot weakly coupled to Luttinger liquids

2001-03-23

arxiv.org/abs/cond-mat/0103481v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 3 figures, Latex

Scientific paper

10.1103/PhysRevB.64.233314

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.

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