Double-frequency Aharonov-Bohm effect and non-Abelian braiding properties of Jackiw-Rebbi zero-mode

Abstract

Ever since its first proposal in 1976, Jackiw-Rebbi zero-mode has been drawing extensive attention for its charming properties including charge fractionalization, topologically protected zero-energy and possible non-Abelian statistics. We investigate these properties through the Jackiw-Rebbi zero-modes in quantum spin Hall insulator. Though charge fractionalization is not manifested, Jackiw-Rebbi zero-mode's zero-energy nature leads to a double-frequency Aharonov-Bohm effect, implying that it can be viewed as a special case of Majorana zero-mode breaking particle-hole symmetry. Such relation is strengthened since Jackiw-Rebbi zero-modes also exhibit non-Abelian braiding properties in the absence of superconductivity, and the symmetry-protected degeneracy of both Jackiw-Rebbi and Majorana zero-modes is proved to be equally important as the topological gap for their non-Abelian statistics.

12 pages, 7 figures

References in corpus (12)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Classification of topological insulators and superconductors in three spatial dimensions
• Transition from fractional to Majorana fermions in Rashba nanowires
• Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions
• Abelian and Non-abelian Hall Liquids and Charge Density Wave: Quantum Number Fractionalization in One and Two Dimensions
• An Index Theorem for the Majorana Zero Modes in Chiral P-Wave Superconductors
• Fermionic and Majorana Bound States in Hybrid Nanowires with Non-Uniform Spin-Orbit Interaction
• Quasi-one-dimensional Quantum Anomalous Hall Systems as New Platforms for Scalable Topological Quantum Computation
• Majorana Braiding Dynamics on Nanowires
• Fractional Fermions with Non-Abelian Statistics
• Majorana states in inhomogeneous spin ladders
• Quantum charge pumping through fractional Fermions in charge density modulated quantum wires and Rashba nanowires

Cited by in corpus (14)

• Creation and Manipulation of Higher-Order Topological States by Altermagnets
• Non-Abelian braiding of Dirac fermionic modes using topological corner states in higher-order topological insulator
• Higher-order topology in monolayer graphene
• Topological electronic structure and spin texture of quasi-one-dimensional higher-order topological insulator Bi4Br4
• Non-Abelian braiding in spin superconductors utilizing the Aharonov-Casher effect
• Meissner effect induced Majorana zero modes at small magnetic field
• Topological Phase Transition in Quasi-One-Dimensional Bismuth Iodide Bi4I4
• Unitary Symmetry-Protected Non-Abelian Statistics of Majorana Modes
• Non-Hermiticity stabilized Majorana zero modes in semiconductor-superconductor nanowires
• Low-temperature environments for quantum computation and quantum simulation
• Unified model for non-Abelian braiding of Majorana and Dirac fermion zero modes
• Non-Abelian operation through scattering between chiral Dirac edge modes
• Experimental Realization of Non-Abelian Permutations in a Three-State Non-Hermitian System
• Shot noise signatures identifying non-Abelian properties of Jackiw-Rebbi zero modes