Orth, Christoph P. and Tiwari, Rakesh P. and Meng, Tobias and Schmidt, Thomas L..
(2015)
* Non-Abelian parafermions in time-reversal-invariant interacting helical systems.*
Physical Review B, 91 (8).
081406.

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Official URL: http://edoc.unibas.ch/40042/

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## Abstract

The interplay between bulk spin-orbit coupling and electron-electron interactions produces umklapp scattering in the helical edge states of a two-dimensional topological insulator. If the chemical potential is at the Dirac point, umklapp scattering can open a gap in the edge state spectrum even if the system is time-reversal invariant. We determine the zero-energy bound states at the interfaces between a section of a helical liquid which is gapped out by the superconducting proximity effect and a section gapped out by umklapp scattering. We show that these interfaces pin charges which are multiples of e/2, giving rise to a Josephson current with 8 pi periodicity. Moreover, the bound states, which are protected by time-reversal symmetry, are fourfold degenerate and can be described as Z(4) parafermions. We determine their braiding statistics and show how braiding can be implemented in topological insulator systems.

Faculties and Departments: | 05 Faculty of Science > Departement Physik > Physik > Theoretische Physik (Bruder) |
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UniBasel Contributors: | Tiwari, Rakesh and Orth, Christoph and Schmidt, Thomas L. and Meng, Tobias Philipp |

Item Type: | Article, refereed |

Article Subtype: | Research Article |

Publisher: | American Physical Society |

ISSN: | 2469-9950 |

e-ISSN: | 2469-9969 |

Note: | Publication type according to Uni Basel Research Database: Journal article |

Identification Number: | |

Last Modified: | 10 May 2017 10:42 |

Deposited On: | 02 May 2016 11:51 |

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