Work

Braiding induced by the finite-size effect in one-dimensional topological superconductors

Year: 2024

Type: article

Abstract: We investigate the transport properties of Majorana zero modes (MZMs) and Majorana Kramers pairs (MKPs) in one-dimensional topological superconductors, respectively. An effective model is established for the braiding of MZMs and MKPs. We employ ${d}_{{x}^{2}\ensuremath{-}{y}^{2}}$-wave topological superconductors to embody the effective model for the braiding of MKPs by utilizing the finite-size effect and minimal locally tunable coupling parameters. We show how to construct the state initialization and readout via gate control. We also use this method for the braiding of MZMs in $s$-wave topological superconductors. Our proposal presents a promising avenue for experimentally verifying the non-Abelian statistical properties of MZMs and MKPs, with implications for topological quantum computing.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.110.l161110

Authors: Hongfa Pan, Zhengtian Li, Jinxiong Jia, Zhenhua Qiao

Institution: University of Science and Technology of China

Language: English

Topic: Topological Materials and Phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, University of Science and Technology of China

Awards: G1002927822, G1503824852, G1739524220, G4606390443