Sub- to super-Poissonian crossover of current noise in helical edge states coupled to a spin impurity in a magnetic field
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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Physical Review BDate
2022Copyright
©2022 American Physical Society
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.
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American Physical Society (APS)ISSN Search the Publication Forum
2469-9950Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/155854199
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Related funder(s)
European Commission; Research Council of FinlandFunding program(s)
FET Future and Emerging Technologies, H2020; Academy Project, AoF![](/themes/JYX2/images/funders/eu_logo_thumb.jpg)
The content of the publication reflects only the author’s view. The funder is not responsible for any use that may be made of the information it contains.
Additional information about funding
P.V. acknowledges funding from EU's Horizon 2020 research, from the innovation program under Grant Agreement No. 800923 (SUPERTED) and from Academy of Finland Project No. 317118. P.R. acknowledges financial support by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) within the framework of Germany's Excellence Strategy–EXC-2123 QuantumFrontiers–390837967.License
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