Capacitance of a resonant level coupled to Luttinger liquids

Moshe Goldstein, Richard Berkovits

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13 Scopus citations


In this Rapid Communication, we study the differential capacitance of a single-level quantum dot attached to quantum wires in the Luttinger-liquid phase or to fractional quantum-Hall edges, by both tunneling and interactions. We show that logarithmic or even power-law divergence of the capacitance at low temperatures may result in a substantial region of the parameter space (including the ν=1/3 filling). This behavior is a manifestation of generalized two-channel Kondo physics and can be used to extract Luttinger-liquid parameters from thermodynamic measurements.

Original languageEnglish
Article number161307
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number16
StatePublished - 18 Oct 2010


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