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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Fractional charges on an integer quantum Hall edge.

E Berg¹, Y Oreg, E-A Kim

¹Department of Physics, Stanford University, Stanford, CA 94305-4045, USA.

Physical Review Letters

|August 8, 2009

Summary

This summary is machine-generated.

We propose methods to create and detect fractionally charged excitations in quantum Hall edge states. Coulomb interactions cause charge fractionalization, observable via shot noise measurements.

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Area of Science:

Condensed Matter Physics
Quantum Mechanics
Mesoscopic Physics

Background:

Integer quantum Hall effect (IQHE) describes the quantization of Hall conductance in a 2D electron gas under strong magnetic fields.
Edge states in IQHE systems host one-dimensional channels where electron transport occurs.
Coulomb interactions between electrons can lead to complex emergent phenomena in these edge states.

Purpose of the Study:

To propose novel methods for the creation and detection of fractionally charged excitations.
To investigate the role of electron-electron Coulomb interactions in charge fractionalization.
To identify experimental signatures for observing these fractional charges.

Main Methods:

Theoretical modeling of electron interactions in quantum Hall edge channels.
Analysis of collective excitations, specifically soliton-like states.
Proposing shot noise measurements (time-resolved and frequency-dependent) as a detection technique.

Main Results:

Demonstrated that Coulomb interactions between electrons on different edge channels lead to charge fractionalization.
Identified soliton-like collective excitations as carriers of fractional charge.
Established that shot noise measurements are a viable method for observing these fractional charges.

Conclusions:

Fractional charges can be created and detected in integer quantum Hall edge states.
Electron Coulomb interactions are the underlying mechanism for this fractionalization.
Experimental verification is feasible through advanced noise measurement techniques.