Capacitance of a resonant level coupled to Luttinger liquids

Details Capacitance of a resonant level coupled to Luttinger liquids Capacitance of a resonant level coupled to Luttinger liquids

2011-01-19

arxiv.org/abs/1101.3723v1

Phys. Rev. B 82 161307(R) (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4+ pages, 2 figures

Scientific paper

10.1103/PhysRevB.82.161307

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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