Unrestricted electron bunching at the helical edge

Abstract

A quantum magnetic impurity of spin $S$ at the edge of a two-dimensional time reversal invariant topological insulator may give rise to backscattering. We study here the shot noise associated with the backscattering current for arbitrary $S$. Our full analytical solution reveals that for $S>\frac{1}{2}$ the Fano factor may be arbitrarily large, reflecting bunching of large batches of electrons. By contrast, we rigorously prove that for $S=\frac{1}{2}$ the Fano factor is bounded between $1$ and $2$, generalizing earlier studies.

arXiv comment6 pages, 2 figures, Supplemental Material

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Cited by in corpus (10)

• Helical Liquids in Semiconductors
• Quantum Fluctuation of the Quantum Geometric Tensor and its Manifestation as Intrinsic Hall Signatures in Time-Reversal Invariant Systems
• Does delta-$T$ noise probe quantum statistics?
• Finite frequency backscattering current noise at a helical edge
• Protection of Edge transport in Quantum Spin Hall samples: Spin-Symmetry Based General Approach and Examples
• The effect of magnetic impurity scattering on transport in topological insulators
• Electron-pairing in the quantum Hall regime due to neutralon exchange
• Sub- to Super-Poissonian crossover of current noise in helical edge states coupled to a spin impurity in a magnetic field
• Transport of pseudothermal photons through an anharmonic cavity
• A non-magnetic mechanism of backscattering in helical edge states