Asymptotic tunneling conductance in Luttinger liquids

Abstract

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 $g>1/2$.

Latex file + one appended postcript figure

References in corpus (4)

• Exact Conductance through Point Contacts in the $\nu =1/3$ Fractional Quantum Hall Effect
• Resonant Tunneling Between Quantum Hall Edge States
• Tunneling and Quantum Noise in 1-D Luttinger Liquids
• Low-temperature transport of correlated electrons

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