Fractionalization noise in edge channels of integer quantum Hall states

Abstract

A theoretical calculation is presented of current noise which is due charge fractionalization, in two interacting edge channels in the integer quantum Hall state at filling factor $\nu =2$. Because of the capacitive coupling between the channels, a tunneling event, in which an electron is transferred from a biased source lead to one of the two channels, generates propagating plasma mode excitations which carry fractional charges on the other edge channel. When these excitations impinge on a quantum point contact, they induce low-frequency current fluctuations with no net average current. A perturbative treatment in the weak tunneling regime yields analytical integral expressions for the noise as a function of the bias on the source. Asymptotic expressions of the noise in the limits of high and low bias are found.

References in corpus (3)

• Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
• Tuning Energy Relaxation along Quantum Hall Channels
• Noise dephasing in the edge states of the Integer Quantum Hall regime

Cited by in corpus (23)

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• Interactions and charge fractionalization in an electronic Hong-Ou-Mandel interferometer
• Minimal excitations in the fractional quantum Hall regime
• Fractionalization of minimal excitations in integer quantum Hall edge channels
• Relaxation in driven integer quantum Hall edge states
• Fractional Mutual Statistics on Integer Quantum Hall Edges
• Contacts, equilibration, and interactions in fractional quantum Hall edge transport
• Shot Noise Signatures of Charge Fractionalization in the $\nu =2$ Quantum Hall edge
• Time-resolved charge fractionalization in inhomogeneous Luttinger liquids
• Fluctuation dissipation relations for strongly correlated out-of-equilibrium circuits
• Shot noise thermometry of the quantum Hall edge states
• Topological dephasing in the $\nu =2/3$ fractional Quantum Hall Regime
• Statistical theory of relaxation of high energy electrons in quantum Hall edge states
• Probing interactions via non-equilibrium momentum distribution and noise in integer quantum Hall systems at $\nu =2$
• Universal non-equilibrium states at the fractional quantum Hall edge
• Coherence recovery mechanisms in quantum Hall edge states
• Electron interferometry in integer quantum Hall edge channels
• Transient Features in Charge Fractionalization, Local Equilibration and Non-equilibrium Bosonization
• Measuring the Luttinger liquid parameter with shot noise
• Mach-Zehnder interference of fractionalized electron-spin excitations
• Fractional charges in emergent neutral modes at the integer quantum Hall effect