Asymptotic tunneling conductance in Luttinger liquids

Abstract

Conductance through weak constrictions in Luttinger liquids is shown to vanish with frequency $ω$ as $c_1 ω^2 + c_2 ω^{2/g - 2}$, 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&#39; effect and dominates for $g < 1/2$, whereas the second results from eliminating high-energy modes and dominates for $g > 1/2$.