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Modified Bogoliubov-de Gennes treatment for Majorana conductances in three-terminal transports

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Abstract

We consider a two-lead (three-terminal) setup of non-local transport through Majorana zero modes (MZMs) and construct a Majorana master equation (which is also valid for small bias voltages). We first present representative results of current and then show that only a modified Bogoliubov-de Gennes (BdG) treatment can consistently recover the same results. Based on the interplay of the two approaches, we reveal the existence of non-vanishing channels of teleportation and crossed Andreev reflections even at the limit ϵM → 0 (zero coupling energy of the MZMs), which leads to new predictions for the height of the zero-bias-peak of the local conductance and the ϵM-scaling behavior of the teleportation conductance, for verification by experiments.

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Author information

Authors and Affiliations

  1. Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin, 300072, China

    Xin-Qi Li, Wei Feng & Lupei Qin

  2. Department of Physics, Hangzhou Normal University, Hangzhou, 310036, China

    Jinshuang Jin

Authors
  1. Xin-Qi Li
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  2. Wei Feng
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  3. Lupei Qin
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  4. Jinshuang Jin
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Corresponding authors

Correspondence to Xin-Qi Li or Wei Feng.

Additional information

This work was supported by the National Key Research and Development Program of China (Grant No. 2017YFA0303304), and the National Natural Science Foundation of China (Grant Nos. 11675016, 11974011, and 61905174).

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The supporting information is available online at http://phys.scichina.com and http://slink.springer.com. The supporting materials are published as submitted, without typesetting or editing. The responsibility for scientific accuracy and content remains entirely with the authors.

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Li, XQ., Feng, W., Qin, L. et al. Modified Bogoliubov-de Gennes treatment for Majorana conductances in three-terminal transports. Sci. China Phys. Mech. Astron. 65, 237211 (2022). https://doi.org/10.1007/s11433-021-1811-6

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  • DOI: https://doi.org/10.1007/s11433-021-1811-6

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