Influence of long-range interaction on Majorana zero modes

Abstract

Majorana bound states, with their non-Abelian properties, are candidates for the realization of fault-tolerant quantum computation. Here we study the influence of long-range many-body interactions on Majorana zero modes present in Kitaev chains. We show that these interactions can suppress the lifetime of the Majorana zero mode. We also discuss the role of long-range interactions on the Majorana state's spatial structure, and the overlap of the Majorana states localized at opposite ends of the chain. We have determined that increasing the interaction strength leads to decreasing of the stability of the Majorana modes. Moreover, we found out that interaction between particles located at more distant sites plays a more destructive role than the interaction between nearest neighbors.

arXiv comment8 pages, 10 figures

References in corpus (69)

• Non-Abelian Anyons and Topological Quantum Computation
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Majorana Zero Modes and Topological Quantum Computation
• Exponential Protection of Zero Modes in Majorana Islands
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Topological Superconductivity and Majorana Fermions in RKKY Systems
• Milestones toward Majorana-based quantum computing
• Scaling of Majorana Zero-Bias Conductance Peaks
• Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
• One-dimensional Topological Edge States of Bismuth Bilayers
• Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
• Ballistic Majorana nanowire devices
• Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
• Distinguishing a Majorana zero mode using spin resolved measurements
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Nonlocality of Majorana Modes in Hybrid Nanowires
• High-resolution studies of the Majorana atomic chain platform
• Measuring Majorana non-locality and spin structure with a quantum dot
• Two-dimensional topological superconductivity in Pb/Co/Si(111)
• Atomic-Scale Interface Engineering of Majorana Edge Modes in a 2D Magnet-Superconductor Hybrid System
• Zero-energy Andreev bound states from quantum dots in proximitized Rashba nanowires
• BCS-like Bogoliubov Quasiparticles in High-Tc Superconductors Observed by Angle-Resolved Photoemission Spectroscopy
• Exact ground states and topological order in interacting Kitaev/Majorana chains
• Strong localization of Majorana end states in chains of magnetic adatoms
• Exploring a proximity-coupled Co chain on Pb(110) as a possible Majorana platform
• Majorana bound states in magnetic skyrmions
• Universal Quantum Computation with Hybrid Spin-Majorana Qubits
• Topological quantum computation away from the ground state with Majorana fermions
• On controlling the bound states in quantum-dot hybrid-nanowire
• Interaction effects on a Majorana zero mode leaking into a quantum dot
• Strongly interacting Majorana modes in an array of Josephson junctions
• Tunneling spectra simulation of interacting Majorana wires
• Quantifying wave-function overlaps in inhomogeneous Majorana nanowires
• Majorana Fermions in Chiral Topological Ferromagnetic Nanowires
• Non-Abelian Majorana Doublets in Time-Reversal Invariant Topological Superconductor
• Topological Protection of Majorana Qubits
• Topological order in the Kitaev/Majorana chain in the presence of disorder and interactions
• Decoherence of Majorana qubits by noisy gates
• Wireless Majorana Bound States: From Magnetic Tunability to Braiding
• Zero-energy pinning from interactions in Majorana nanowires
• Local and Quasilocal Conserved Quantities in Integrable Systems
• Majorana Fermions in Magnetic Chains
• Topological Phase Detection in Rashba Nanowires with a Quantum Dot
• Tomography of Majorana Fermions with STM Tips
• Topological properties of chains of magnetic impurities on a superconducting substrate: Interplay between the Shiba band and ferromagnetic wire limits
• Many-body Majorana operators and the equivalence of parity sectors
• Self-stabilizing temperature driven crossover between topological and non-topological ordered phases in one-dimensional conductors
• Exact master equation and decoherence dynamics of Majorana zero modes under the gate-induced charge fluctuation
• Photon assisted braiding of Majorana fermions in a cavity
• Coulomb interaction effects on the Majorana states in quantum wires
• Majorana Fermion Rides on a Magnetic Domain Wall
• Four-Majorana qubit with charge readout: dynamics and decoherence
• Dimensional Tuning of Majorana Fermions and the Real Space Counting of the Chern Number
• Quantum Engineering of Majorana Fermions
• Identification of Majorana Modes in Interacting Systems by Local Integrals of Motion
• Diabatic errors in Majorana braiding with bosonic bath
• Effects of decoherence on diabatic errors in Majorana braiding
• Controlling topological superconductivity by magnetization dynamics
• Majorana phase-gate based on the geometric phase
• Electrostatical formation of the Majorana quasiparticles in the quantum dot--nanoring structure
• Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices

Cited by in corpus (8)

• Majorana bound states in semiconducting nanostructures
• Strong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI
• Coexistence of Strong and Weak Majorana Zero Modes in Anisotropic XY Spin Chain with Second-Neighbor Interaction
• First principles study of topological phase in chains of $3d$ transition metals
• Effects of dynamical noises on Majorana bound states
• Effect of interatomic repulsion on Majorana zero modes in a coupled quantum-dot-superconducting-nanowire hybrid system
• Identification of the Majorana edge modes in tight-binding systems based on the Krylov method
• A proposal to extract and enhance four-Majorana interactions in hybrid nanowires