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Article overview
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Landau-Zener Effect Induced Hysteresis in Topological Josephson Junctions | | Jia-Jin Feng
; Zhao Huang
; Zhi Wang
; Qian Niu
; | | Date: |
16 Jan 2018 | | Abstract: | In topological Josephson junctions, Majorana zero modes form a quantum
two-level system which provides a natural platform for the interplay between
the Josephson effect and Landau-Zener effect. To study this interplay, we
extend the standard resistively and capacitively shunted junction model by
including the internal quantum degree of freedom from the two levels. We obtain
hysteresis in the I-V characteristics with a mechanism entirely different from
the conventional junctions. In particular, this hysteresis exists even in
extremely overdamped junctions, which agrees with recent unusual experimental
findings. We also demonstrate a mapping from the quantum dynamics to a purely
classical nonlinear dynamics in a restricted three-dimensional phase space,
where the hysteresis can be understood as coming from the different static and
kinetic dry friction. Further investigations in a corresponding topological
SQUID reveal interference patterns with periods $h/e$ and $h/2e$ for the
switching and retrapping current respectively. | | Source: | arXiv, 1801.5099 | | Services: | Forum | Review | PDF | Favorites | |
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