Abstract

We theoretically investigate the electron transport properties of a wheel-like quantum dot (QD) structure with a central QD side coupled with many pairs of QD and Majorana bound states (MBSs) by using the nonequilibrium Green’s function method. For clarity, we concentrate our researches on the parameter regime where interdot couplings is much smaller than the inter-MBS and MBS-QD couplings, which ensures the conductance peaks induced by them distinguishable. In the absence of the interdot couplings among the side QDs, the increase of the MBS-QD pair number is equivalent to the increase of the interdot coupling in the QD structure including one central QD and one MBS-QD pair. It is shown that as a response the interval between two side symmetrical peaks will be enlarged, and the MBS-QD couplings will bring into being a zero-bias conductance peak which can be split into two symmetrical sub-peaks by the nonzero inter-MBS couplings. In the presence of the interdot couplings among the side QDs, they make serious influences on the conductance peaks determined by the QD energy levels, and still comes into being the zero-bias conductance peak due to the MBS-QD couplings, yet which is split into two asymmetrical sub-peaks under the influences of the nonzero inter-MBS couplings. Moreover, we conduct a detailed investigation into how the couplings among side QDs affect the transport properties, clearly exposing the underneath mechanics responsible for producing these phenomena. Finally, a generalization is made so as to discuss the geometry universality and the parameter universality of the conclusion drawn in the present work. It should be emphasized that this research will be helpful for a comprehensive understanding the quantum transport through the QD systems coupled with MBSs.

Highlights

  • Majorana fermions (MFs) are one kind of particles with their antiparticles being themselves, and obey the non-Abelian statistics.[1]

  • We will carry out the numerical investigation on the electron transport properties through the wheel-like quantum dot (QD) system where the central QD0 is side coupled with many side QDs with each connected to a pair of Majorana bound states (MBSs)

  • In conclusion a theoretical investigation on the electron transport of a central QD side coupled with many pairs of QD and MBSs is made using the nonequilibrium Green’s function method

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Summary

INTRODUCTION

Majorana fermions (MFs) are one kind of particles with their antiparticles being themselves, and obey the non-Abelian statistics.[1]. In this wheel-like QD structure, the electron injected from Lead L can be transported into Lead R (the ET process), or reflected back as a hole into Lead L and forms a cooper pair into superconductors via QD1, QD2, and QDN (the AR process).

MODEL AND FORMULA
RESULTS AND DISCUSSIONS
CONCLUSION
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