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 non-universal 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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Guinea et al. (1995) studied this question.
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