Svetogorov, Aleksandr E. and Loss, Daniel and Klinovaja, Jelena.
(2021)
* Insulating regime of an underdamped current-biased Josephson junction supporting Z(3) and Z(4) parafermions.*
Physical Review B, 103 (18).
p. 180505.

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Official URL: https://edoc.unibas.ch/86409/

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## Abstract

We study analytically a current-biased topological Josephson junction supporting Z(n) parafermions. First, we show that in an infinite-size system a pair of parafermions on the junction can be in n different states; the 2 pi n periodicity of the phase potential of the junction results in a significant suppression of the maximum current I-m for an insulating regime of the underdamped junction. Second, we study the behavior of a realistic finite-size system with avoided level crossings characterized by splitting delta. We consider two limiting cases: when the phase evolution may be considered adiabatic, which results in the 2 pi periodicity of the effective potential, and the opposite case, when Landau-Zener transitions restore the 2 pi n periodicity of the phase potential. We also study the case with time-reversal symmetry and show that breaking this symmetry gives different phase periodicity reductions. resulting current I-m is exponentially different in the opposite limits, which allows us to propose another detection method to establish the appearance of parafermions in the system experimentally, based on measuring I-m at different values of the splitting delta.

Faculties and Departments: | 05 Faculty of Science > Departement Physik > Physik > Theoretical Nano/Quantum Physics (Klinovaja) |
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UniBasel Contributors: | Klinovaja, Jelena |

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 |

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Last Modified: | 12 Apr 2022 09:33 |

Deposited On: | 28 Jan 2022 15:33 |

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