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- W2887920584 abstract "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 Schrodinger 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. We also predict the coexistence of two interference patterns with periods $h/e$ and $h/2e$ in topological superconducting quantum interference devices." @default.
- W2887920584 created "2018-08-22" @default.
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- W2887920584 date "2018-10-29" @default.
- W2887920584 modified "2023-10-18" @default.
- W2887920584 title "Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions" @default.
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- W2887920584 doi "https://doi.org/10.1103/physrevb.98.134515" @default.
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