Unrestricted Electron Bunching at the Helical Edge

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

doi:10.1103/PhysRevLett.123.056803

Unrestricted Electron Bunching at the Helical Edge

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

Tel Aviv University, Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

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>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 language	English
Article number	056803
Number of pages	7
Journal	Physical Review Letters
Volume	123
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevLett.123.056803
State	Published - 31 Jul 2019

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.123.056803

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title = "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>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.",

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AU - Burmistrov, Igor S.

AU - Gefen, Yuval

AU - Goldstein, Moshe

PY - 2019/7/31

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AB - 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.

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JO - Physical Review Letters

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Unrestricted Electron Bunching at the Helical Edge

Abstract

All Science Journal Classification (ASJC) codes

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