Asymptotic tunneling conductance in Luttinger liquids
arXiv:cond-mat/9411130 · doi:10.1209/0295-5075/30/9/010
Abstract
Conductance through weak constrictions in Luttinger liquids is shown to vanish with frequency $Ï$ as $c_1 Ï^2 + c_2 Ï^{2/g - 2}$, where $g$ is a dimensionless parameter characterizing the Luttinger liquid phase, and $c_1$ and $c_2$ are nonuniversal constants. The first term arises from the ^^ Coulomb blockade' effect and dominates for $g < 1/2$, whereas the second results from eliminating high-energy modes and dominates for $g > 1/2$.
Latex file + one appended postcript figure