Asymptotic tunneling conductance in Luttinger liquids

Details Asymptotic tunneling conductance in Luttinger liquids Asymptotic tunneling conductance in Luttinger liquids

1994-11-30

arxiv.org/abs/cond-mat/9411130v2

Physics

Condensed Matter

Latex file + one appended postcript figure

Scientific paper

10.1209/0295-5075/30/9/010

Conductance through weak constrictions in Luttinger liquids is shown to vanish with frequency $\omega$ as $c_1 \omega^2 + c_2 \omega^{2/g - 2}$, 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 $g > 1/2$.

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