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Tomonaga-Luttinger physics in electronic quantum circuits.

S Jezouin¹, M Albert, F D Parmentier

¹CNRS/Univ Paris Diderot (Sorbonne Paris Cité), Laboratoire de Photonique et de Nanostructures, route de Nozay, 91460 Marcoussis, France.

Nature Communications

|May 9, 2013

Summary

We demonstrate a link between dynamical Coulomb blockade in mesoscopic circuits and Tomonaga-Luttinger liquid physics. This finding establishes a universal conductance curve for correlated electronic systems, unifying two distinct quantum transport phenomena.

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Area of Science:

Condensed Matter Physics
Quantum Transport

Background:

Interactions in one-dimensional conductors lead to correlated electronic systems, such as Tomonaga-Luttinger liquids.
Tomonaga-Luttinger liquids exhibit a universal conductance curve in the presence of an impurity at low energies.
Dynamical Coulomb blockade describes conductance suppression at low energies in assembled quantum conductors.

Purpose of the Study:

To investigate the conductance of mesoscopic circuits composed of a quantum conductor in series with a resistance.
To demonstrate an experimentally verified link between dynamical Coulomb blockade and Tomonaga-Luttinger liquid physics.
To establish a phenomenological expression for conductance and connect it to universal transport phenomena.

Main Methods:

Experimental investigation of mesoscopic circuits including carbon nanotube data.
Reformulation and experimental establishment of a phenomenological conductance expression.
Comparison of experimental conductance data and the phenomenological expression with the universal Tomonaga-Luttinger conductance curve.

Main Results:

A direct experimental mapping between dynamical Coulomb blockade and transport in a Tomonaga-Luttinger liquid with an impurity is demonstrated.
The study validates a recently derived phenomenological expression for conductance across various circuits.
The universal conductance curve of Tomonaga-Luttinger liquids is shown to be relevant for understanding dynamical Coulomb blockade.

Conclusions:

Dynamical Coulomb blockade in mesoscopic circuits shares fundamental physics with transport in Tomonaga-Luttinger liquids.
The findings unify seemingly disparate phenomena in quantum transport, offering a broader understanding of correlated electronic systems.
This work provides experimental validation for theoretical predictions linking low-energy transport phenomena in quantum conductors.