Shot noise signatures identifying non-Abelian properties of Jackiw-Rebbi zero modes

Abstract

Jackiw-Rebbi zero modes were first proposed in 1976 as topologically protected zero-energy states localized at domain walls in one-dimensional Dirac systems. They have attracted widespread attention in the field of topological quantum computing, as they serve as non-superconducting analogs of Majorana zero modes and support non-Abelian statistics in topological insulator systems. %In the braiding process of the Jackiw-Rebbi zero modes, their braiding properties are closely related to the strength of disorder. However, compared to their Majorana cousins, the braiding properties of Jackiw-Rebbi zero modes are vulnerable to the on-site energy deviation between the modes involved in the experiment. In this work, we propose to estimate the braiding properties of Jackiw-Rebbi zero-modes through measurements of transport signatures, which are readily measurable in current experiments. We find that the fidelity of braiding operation reaches unity when the current noise is fully suppressed, while this braiding fidelity monotonously decreases with the increasing of the current noise. Based on these transport signatures, we further discuss the correspondence between Majorana and Jackiw-Rebbi zero modes, highlighting their similarity in supporting non-Abelian statistics.

11 pages, 8 pages

References in corpus (20)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Selective enhancement of topologically induced interface states in a dielectric resonator chain
• Realization of a minimal Kitaev chain in coupled quantum dots
• One-Dimensional Symmetry Protected Topological Phases and their Transitions
• InAs-Al Hybrid Devices Passing the Topological Gap Protocol
• Hunting for Majoranas
• Majorana Braiding Dynamics on Nanowires
• Poor man's topological quantum gate based on the Su-Schrieffer-Heeger model
• Fractional Fermions with Non-Abelian Statistics
• Non-Abelian braiding of Dirac fermionic modes using topological corner states in higher-order topological insulator
• Observation of edge and bulk states in a three-site Kitaev chain
• Topological States in Dimerized Quantum-Dot Chains Created by Atom Manipulation
• Differential current noise as an identifier of Andreev bound states that induce nearly quantized conductance plateaus
• Unitary Symmetry-Protected Non-Abelian Statistics of Majorana Modes
• Unified model for non-Abelian braiding of Majorana and Dirac fermion zero modes
• Probing the dichotomy between Yu-Shiba-Rusinov and Majorana bound states via conductance, quantum noise and ${\Delta }_T$ noise