Shot Noise Signatures of Charge Fractionalization in the $\nu =2$ Quantum Hall edge

Abstract

We investigate the effect of interactions on shot noise in $\nu =2$ quantum Hall edges, where a repulsive coupling between co-propagating edge modes is expected to give rise to charge fractionalization. Using the method of non-equilibrium bosonization, we find that even asymptotically the edge distribution function depends in a sensitive way on the interaction strength between the edge modes. We compute shot noise and Fano factor from the asymptotic distribution function, and from comparison with a reference model of fractionalized excitations we find that the Fano factor can be close to the value of the fractionalized charge.

4.5 pages + supplemental material, 7 figures

References in corpus (14)

• Thermalization and its mechanism for generic isolated quantum systems
• The Luttinger model following a sudden interaction switch-on
• Spin-charge separation and localization in one-dimension
• Quantum quench dynamics of the Luttinger model
• Quantum Quench from a Thermal Initial State
• Energy relaxation at quantum Hall edge
• The Behavior of Electronic Interferometers in the Non-Linear Regime
• Non-equilibrium 1D many-body problems and asymptotic properties of Toeplitz determinants
• Relaxation in driven integer quantum Hall edge states
• Environmental induced renormalization effects in quantum Hall edge states
• Fractionalization noise in edge channels of integer quantum Hall states
• Shot noise thermometry of the quantum Hall edge states
• Relaxation and edge reconstruction in integer quantum Hall systems
• Luttinger liquids with multiple Fermi edges: Generalized Fisher-Hartwig conjecture and numerical analysis of Toeplitz determinants

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• Statistical theory of relaxation of high energy electrons in quantum Hall edge states
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