Measuring Luttinger Liquid Correlations from Charge Fluctuations in a Nanoscale Structure

Abstract

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.

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

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Cited by in corpus (9)

• Unification of electromagnetic noise and Luttinger liquid via a quantum dot
• Theory of momentum resolved tunneling into a short quantum wire
• Universality and scaling in a charge two-channel Kondo device
• Quantum Wire Hybridized with a Single-Level Impurity
• Charging of a quantum dot coupled to Luttinger liquid leads
• Capacitance of a resonant level coupled to Luttinger liquids
• Quantum Dot in Interacting Environments
• Exotic resonant level models in non-Abelian quantum Hall states coupled to quantum dots
• Enhanced Two-Channel Kondo Physics in a Quantum Box Device