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Capacitance of a resonant level coupled to Luttinger liquids

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arxiv 1101.3723 v1 pith:7SDAJQ6C submitted 2011-01-19 cond-mat.mes-hall cond-mat.str-el

Moshe Goldstein , Richard Berkovits This is my paper · ORCID
classification cond-mat.mes-hallcond-mat.str-el
keywords capacitanceluttingerquantumliquidattachedbehaviorchannelcoupled
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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 $\nu=1/3$ 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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  1. Driven quantum dot coupled to a fractional quantum Hall edge

    cond-mat.str-el 2019-08 conditional novelty 6.0 of 10

    A second-order perturbation theory, in both bosonized and spin-boson forms, gives the early-time current on a driven quantum dot-fractional quantum Hall edge system and predicts a phase shift for sinusoidal bias.

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