https://doi.org/10.1140/epjb/s10051-023-00541-y
Regular Article - Solid State and Materials
One-qubit Aharonov–Bhom phase gate constructed by Majorana zero-energy states
1
School of Physical Sciences, University of Chinese Academy of Sciences, 100049, Beijing, China
2
School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, 100190, Beijing, China
3
CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, 100049, Beijing, China
b
wangzc@ucas.ac.cn
c
zgzhu@ucas.ac.cn
Received:
7
February
2023
Accepted:
19
May
2023
Published online:
29
June
2023
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.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
