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Proposal for direct measuring of the Majorana number in a topological superconductor using a quantum dot

  • Jia-Jin Feng
  • Zhi Wang
Regular Article
  • 30 Downloads
Part of the following topical collections:
  1. Topological States of Matter: Theory and Applications

Abstract

We propose to directly measure the Majorana number for one-dimensional topological superconductors using a quantum dot. The setup consists of two topological superconducting wires with four Majorana zero modes, which are coupled to an external quantum dot. The measurement is achieved by utilizing the definition of the Majorana number, which is the charge-parity flipping when changing the boundary condition for the topological superconductor. We consider a control of the boundary condition with voltage gates. When the voltage on the gate are modulated sequentially, the boundary conditions changes and the parity of the superconducting state flips. We demonstrate that this parity flipping will change the electron occupation probability of the quantum dot, which reflects the value of the Majorana number.

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Copyright information

© EDP Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Physics, Sun Yat-sen UniversityGuangzhouP.R. China
  2. 2.Department of PhysicsUniversity of Texas at AustinAustinUSA

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