Measuring Luttinger Liquid Correlations from Charge Fluctuations in a Nanoscale Structure

Details Measuring Luttinger Liquid Correlations from Charge Fluctuations in a Nanoscale Structure Measuring Luttinger Liquid Correlations from Charge Fluctuations in a Nanoscale Structure

2003-06-24

arxiv.org/abs/cond-mat/0306603v2

Phys. Rev. Lett. 91, 186403 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

REVTeX, 4 pages, 1 figure included. Final version, two references added

Scientific paper

10.1103/PhysRevLett.91.186403

We suggest an experiment to study Luttinger liquid behavior in a one-dimensional nanostructure, avoiding the usual complications associated with transport measurements. The proposed setup consists of a quantum box, biased by a gate voltage, and side-coupled to a quantum wire by a point contact. Close to the degeneracy points of the Coulomb blockaded box, and in the presence of a magnetic field sufficiently strong to spin polarize the electrons, the setup can be described as a Luttinger liquid interacting with an effective Kondo impurity. Using exact nonperturbative techniques we predict that the differential capacitance of the box will exhibit distinctive Luttinger liquid scaling with temperature and gate voltage.

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