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

• Published in: The European physical journal. B, Condensed matter physics Condensed matter physics, 2023-06, Vol.96 (6), Article 90
• Main Authors: Liu, Ze, Wang, Zheng-Chuan, Zhu, Zhen-Gang
• Format: Article
• Language: English
• Subjects: Atoms; Complex Systems; Condensed Matter Physics; Fluid- and Aerodynamics; Heterojunctions; Interference fringes; Magnetic fields; P waves; Physics; Physics and Astronomy; Quantum phenomena; Qubits (quantum computing); Regular Article - Solid State and Materials; Solid State Physics; Splitting; Superconductors; Topological insulators
• ISSN: 1434-6028; 1434-6036
• DOI: 10.1140/epjb/s10051-023-00541-y

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