Unrestricted Electron Bunching at the Helical Edge

Pavel D. Kurilovich, Vladislav D. Kurilovich, Igor S. Burmistrov, Yuval Gefen, Moshe Goldstein

Research output: Contribution to journalArticlepeer-review


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>12 the Fano factor may be arbitrarily large, reflecting bunching of large batches of electrons. By contrast, we rigorously prove that for S=12 the Fano factor is bounded between 1 and 2, generalizing earlier studies.

Original languageEnglish
Article number056803
JournalPhysical Review Letters
Issue number5
StatePublished - 31 Jul 2019


FundersFunder number
Deutsche ForschungsgemeinschaftSH 81/3-1
Ministry of Science and Technology, Israel3-12419
United States-Israel Binational Science Foundation2016224
German Israeli FoundationI-1259-303.10
Basis Foundation
Israel Science Foundation
Russian Ministry of Science and Higher Education


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