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arXiv · 1101.3723

Capacitance of a resonant level coupled to Luttinger liquids

Moshe Goldstein·Richard Berkovits
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Abstract

In this paper 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.

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Moshe Goldstein, Richard Berkovits. 2011-01-19. Capacitance of a resonant level coupled to Luttinger liquids. https://doi.org/10.1103/physrevb.82.161307

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