One-qubit Aharonov–Bhom phase gate constructed by Majorana zero-energy states

Ze Liu, Zheng-Chuan Wang () and Zhen-Gang Zhu ()
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Ze Liu: University of Chinese Academy of Sciences
Zheng-Chuan Wang: University of Chinese Academy of Sciences
Zhen-Gang Zhu: University of Chinese Academy of Sciences

The European Physical Journal B: Condensed Matter and Complex Systems, 2023, vol. 96, issue 6, 1-6

Abstract: Abstract A well-known scheme for generating Majorana zero-energy modes is a heterojunction of s-wave superconductor and topological insulator that induces an equivalent two-dimensional p-wave superconductor at the interface. In this work, we construct a cylindrical system based on the heterojunction with the external magnetic field. We investigate the Aharonov–Bhom phase (A–B phase) of Majorana zero-energy state, find that the A–B phase between two Majorana zero-energy states located at the inner and outer boundaries of the ring system will interfere with each other. The intensity of interference fringes may change with A–B phase, which indicates that we can store the quantum information through the A–B phase and construct a single qubit A–B phase gate. We further explore the splitting of zero-bias conductance peak caused by the A–B phase and adjust the splitting energy by the A–B phase. Graphic Abstract

Date: 2023
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DOI: 10.1140/epjb/s10051-023-00541-y

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