Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions

Feng, Jia-Jin; Huang, Zhao; Wang, Zhi; Niu, Qian

doi:10.1103/physrevb.98.134515

Title: Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions

Journal Article · 29 October 2018 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.98.134515 · OSTI ID:1614568

Feng, Jia-Jin ^[1]; Huang, Zhao ^[2]; Wang, Zhi ^[3]; Niu, Qian ^[4]

Sun Yat-sen Univ., Guangzhou (China); DOE/OSTI
Univ. of Houston, TX (United States)
Sun Yat-sen Univ., Guangzhou (China); Univ. of Texas, Austin, TX (United States)
Univ. of Texas, Austin, TX (United States)

We reveal that topological Josephson junctions provide a natural platform for the interplay between the Josephson effect and the Landau-Zener effect through a two-level system formed by coupled Majorana modes. We build a quantum resistively shunted junction (RSJ) model by modifying the standard textbook RSJ model to take account of the two-level system from the Majorana modes at the junction. We show that the dynamics of the two-level system is governed by a nonlinear Schrödinger equation and solve the equations analytically via a mapping to a classical dynamical problem. This nonlinear dynamics leads to hysteresis in the I-V characteristics, which can give a quantitative explanation to recent experiments. Furthermore, we also predict the coexistence of two interference patterns with periods h/e and h/2e in topological superconducting quantum interference devices.

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Research Organization:: Univ. of Texas, Austin, TX (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: FG03-02ER45958

OSTI ID:: 1614568

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 13 Vol. 98; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Qubit-based memcapacitors and meminductors Shevchenko, Sergey N.; Pershin, Yuriy V.; Nori, Franco arXiv https://doi.org/10.48550/arxiv.1602.07230	text	January 2016
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Title: Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions

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