Unveiling non-Abelian statistics of vortex Majorana bound states in iron-based superconductors using fermionic modes

Abstract

Motivated by the recent experiments that reported the discovery of vortex Majorana bound states (vMBSs) in iron-based superconductors, we establish a portable scheme to unveil the non-Abelian statistics of vMBSs using normal fermionic modes. The unique non-Abelian statistics of vMBSs is characterized by the charge flip signal of the fermions that can be easily read out through the charge sensing measurement. In particular, the charge flip signal will be significantly suppressed for strong hybridized vMBSs or trivial vortex modes, which efficiently identifies genuine vMBSs. To eliminate the error induced by the unnecessary dynamical evolution of the fermionic modes, we further propose a correction strategy by continually reversing the energy of the fermions, reminiscent of the quantum Zeno effect. Finally, we establish a feasible protocol to perform non-Abelian braiding operations on vMBSs.

arXiv comment6 pages, 4 figures, supplementary materials (3 pages, 3 figures)

References in corpus (69)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Decoherence Free Subspaces for Quantum Computation
• Topological quantum memory
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Geometric quantum computation with NMR
• Evidence for Majorana bound state in an iron-based superconductor
• Observation of topological superconductivity on the surface of an iron-based superconductor
• From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
• Strong dissipation inhibits losses and induces correlations in cold molecular gases
• Coulomb-assisted braiding of Majorana fermions in a Josephson junction array
• Majorana qubit decoherence by quasiparticle poisoning
• Topological nature of FeSe${}_{0.5}$Te${}_{0.5}$ superconductor
• Zero-energy vortex bound state in the superconducting topological surface state of Fe(Se,Te)
• Majorana Fermions in Proximity-coupled Topological Insulator Nanowires
• Topological superconductivity on the surface of Fe-based superconductors
• Topological Superconductivity in a Planar Josephson Junction
• Nearly quantized conductance plateau of vortex zero mode in an iron-based superconductor
• Non-Abelian operations on Majorana fermions via single charge control
• Two-dimensional platform for networks of Majorana bound states
• Coulomb-Modified Fano Resonance in a One-Lead Quantum Dot
• Observation of a Robust Zero-energy Bound State in Iron-based Superconductor Fe(Te,Se)
• Robust and clean Majorana zero mode in the vortex core of high-temperature superconductor (Li0.84Fe0.16)OHFeSe
• Chiral topological superconductor and half-integer conductance plateau from quantum anomalous Hall plateau transition
• Observation of half-integer level shift of vortex bound states in an iron-based superconductor
• Splitting of Majorana modes due to intervortex tunneling in a p + ip superconductor
• Quasiparticles in the vortex lattice of unconventional superconductors: Bloch waves or Landau levels?
• Inducing time reversal invariant topological superconductivity and fermion parity pumping in quantum wires
• Failure of protection of Majorana based qubits against decoherence
• Probing topological quantum matter with scanning tunnelling microscopy
• Discrete energy levels of Caroli-de Gennes-Martricon states in quantum limit due to small Fermi energy in FeTe${}_{0.55}$Se${}_{0.45}$
• A new Majorana platform in an Fe-As bilayer superconductor
• Majorana fermion exchange in quasi-one-dimensional networks
• Two distinct superconducting pairing states divided by the nematic end point in FeSe${}_{1-x}$S${}_x$
• Tunneling of anyonic Majorana excitations in topological superconductors
• Scalable Majorana vortex modes in iron-based superconductors
• Tunable vortex Majorana zero modes in LiFeAs superconductor
• FeTe${}_{1-x}$Se${}_x$ monolayer films: towards the realization of high-temperature connate topological superconductivity
• Topological quantum states of matter in iron-based superconductors: From concepts to material realization
• Proposal for the detection and braiding of Majorana fermions in a quantum spin Hall insulator
• A geometric protocol for a robust Majorana magic gate
• Shortcuts to nonabelian braiding
• Quantum vortex core and missing pseudogap in the multi-band BCS-BEC-crossover superconductor FeSe
• Quantum anomalous vortex and Majorana zero mode in iron-based superconductor Fe(Te,Se)
• Majorana Braiding Dynamics on Nanowires
• Theory for Spin Selective Andreev Reflection in Vortex Core of Topological Superconductor: Majorana Zero Modes on Spherical Surface and Application to Spin Polarized Scanning Tunneling Microscope Probe
• Parity-to-charge conversion in Majorana qubit readout
• Non-Abelian braiding of Dirac fermionic modes using topological corner states in higher-order topological insulator
• Majoranas in Noisy Kitaev Wires
• Braiding Majorana Fermions and Creating Quantum Logic Gates with Vortices on a Periodic Pinning Structure
• Vortex-line topology in iron-based superconductors with and without second-order topology
• Observation of discrete conventional Caroli-de Gennes-Matricon states in the vortex core of single-layer FeSe/SrTiO3
• Parity-to-charge conversion for readout of topological Majorana qubits
• Quantum state readout of individual quantum dots by electrostatic force detection
• Theory of charge sensing in quantum-dot structures
• Lattice model for the surface states of a topological insulator with applications to magnetic and exciton instabilities
• Supercurrent-induced Majorana bound states in a planar geometry
• Vortex Majorana braiding in a finite time
• Three-phase Majorana zero modes at tiny magnetic fields
• Emergent vortex Majorana zero mode in iron-based superconductors
• Direct visualization of sign reversal s^+- superconducting gaps in FeTe0.55Se0.45
• Topological Larkin-Ovchinnikov phase and Majorana zero mode chain in bilayer superconducting topological insulator films
• Majorana bound states in vortex lattices on iron-based superconductors
• Transport study of the wormhole effect in three-dimensional topological insulators
• Flux-induced Topological Superconductor in Planar Josephson Junction
• Braiding Majorana Zero Mode in An Electrically Controllable Way
• Vortex lattice and vortex bound states in CsFe${}_2$As${}_2$ investigated by scanning tunneling microscopy/spectroscopy

Cited by in corpus (4)

• From edge to bulk: Cavity induced displacement of topological non-local qubits
• Braiding Induced by Finite-Size Effect in One-Dimensional Topological Superconductors
• Unified model for non-Abelian braiding of Majorana and Dirac fermion zero modes
• Scheme for braiding Majorana zero modes in vortices using an STT-matrix