تقرير
Insulating regime of an underdamped current-biased Josephson junction supporting $\mathbb{Z}_3$ and $\mathbb{Z}_4$ parafermions
العنوان: | Insulating regime of an underdamped current-biased Josephson junction supporting $\mathbb{Z}_3$ and $\mathbb{Z}_4$ parafermions |
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المؤلفون: | Svetogorov, Aleksandr E., Loss, Daniel, Klinovaja, Jelena |
المصدر: | Phys. Rev. B 103, 180505 (2021) |
سنة النشر: | 2020 |
المجموعة: | Condensed Matter |
مصطلحات موضوعية: | Condensed Matter - Superconductivity |
الوصف: | We study analytically a current-biased topological Josephson junction supporting $\mathbb{Z}_n$ 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 maximal current $I_m$ for an insulating regime of the underdamped junction. Second, we study the behaviour 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 decreased periodicity of the effective potential, and the opposite case, when Landau-Zener transitions restore the $2\pi{n}$ periodicity of the phase potential. The resulting current $I_m$ is exponentially different in the opposite limits, which allows us to propose a new detection method to establish the appearance of parafermions in the system experimentally, based on measuring $I_m$ at different values of the splitting $\delta$. |
نوع الوثيقة: | Working Paper |
DOI: | 10.1103/PhysRevB.103.L180505 |
URL الوصول: | http://arxiv.org/abs/2012.09062 |
رقم الأكسشن: | edsarx.2012.09062 |
قاعدة البيانات: | arXiv |
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