A1 Journal article (refereed)
Sub- to super-Poissonian crossover of current noise in helical edge states coupled to a spin impurity in a magnetic field (2022)

Probst, B., Virtanen, P., & Recher, P. (2022). Sub- to super-Poissonian crossover of current noise in helical edge states coupled to a spin impurity in a magnetic field. Physical Review B, 106(8), Article 085406. https://doi.org/10.1103/PhysRevB.106.085406

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Publication details

All authors or editorsProbst, Benedikt; Virtanen, Pauli; Recher, Patrik

Journal or seriesPhysical Review B



Publication year2022

Publication date04/08/2022


Issue number8

Article number085406

PublisherAmerican Physical Society (APS)

Publication countryUnited States

Publication languageEnglish


Publication open accessNot open

Publication channel open access

Publication is parallel published (JYX)https://jyx.jyu.fi/handle/123456789/82967

Web address of parallel published publication (pre-print)https://arxiv.org/abs/2108.00233


Edge states of two-dimensional topological insulators are helical and single-particle backscattering is prohibited by time-reversal symmetry. In this paper, we show that an isotropic exchange coupling of helical edge states (HES) to a spin 1/2 impurity subjected to a magnetic field results in characteristic backscattering current noise (BCN) as a function of bias voltage and tilt angle between the direction of the magnetic field and the quantization axis of the HES. In particular, we find transitions from sub-Poissonian (antibunching) to super-Poissonian (bunching) behavior as a direct consequence of the helicity of the edge state electrons. We use the method of full counting statistics within a master equation approach treating the exchange coupling between the spin-1/2 impurity and the HES perturbatively. We express the BCN via coincidence correlation functions of scattering processes between the HES, which gives a precise interpretation of the Fano factor in terms of bunching and antibunching behavior of electron jump events. We also investigate the effect of electron-electron interactions in the HES in terms of the Tomonaga-Luttinger liquid theory.

Keywordssolid-state physicselectric conductivityspin (quantum mechanics)magnetic fields

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Ministry reportingYes

Reporting Year2022

JUFO rating2

Last updated on 2024-14-06 at 23:07