Resonant tunneling through a quantum dot weakly coupled to quantum wires or quantum Hall edge states
Abstract
Resonant tunneling through a quantum dot weakly coupled to Tomonaga-Luttinger liquids is discussed. The linear conductance due to sequential tunneling is calculated by solving a master equation for temperatures below and above the average level spacing in the dot. When the parameter g characterizing the Tomonaga-Luttinger liquid is smaller than 1/2, the resonant tunneling process is incoherent down to zero temperature. At low temperature T the height and width of the conductance peaks in the Coulomb blockade oscillations are proportional to T^{(1/g)-2} and T, respectively. The contribution from tunneling via a virtual intermediate state (cotunneling) is also included. The resulting conductance formula can be applied for the resonant tunneling between edge states of fractional quantum Hall liquids with filling factor nu=1/(2m+1)=g.
Keywords
Cite
@article{arxiv.cond-mat/9712054,
title = {Resonant tunneling through a quantum dot weakly coupled to quantum wires or quantum Hall edge states},
author = {A. Furusaki},
journal= {arXiv preprint arXiv:cond-mat/9712054},
year = {2009}
}
Comments
RevTex, 9 pages including 4 figures