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Josephson radiation from nonlinear dynamics of Majorana zero modes

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

DOI 10.1103/PhysRevB.101.180504 · Physical Review B

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Abstract

Josephson radiation is a powerful method to probe Majorana zero modes in topological superconductors. Recently, Josephson radiation with half the Josephson frequency has been experimentally observed in a HgTe-based junction, possibly from Majorana zero modes. However, this radiation vanishes above a critical voltage, sharply contradicting previous theoretical results. In this Rapid Communication, we theoretically obtain a radiation spectrum quantitatively in agreement with the experiment after including the nonlinear dynamics of the Majorana states into a standard resistively shunted junction model. We further predict two alternative structures of the radiation spectrum for future experimental verification: an interrupted emission line and a chaotic regime. We develop a fixed-point analysis to understand all these features. Our results resolve an apparent discrepancy between theory and experiments, and will inspire the reexamination of structures in radiation spectra of various topological Josephson junctions.

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FormulaReported Tc (K)Pressure (GPa)Type
HgTe

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—Pressure not reportedunknown

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