Emergent vortex Majorana zero mode in iron-based superconductors

Abstract

The vortex of iron-based superconductors is emerging as a promising platform for Majorana zero mode, owing to a magic integration among intrinsic vortex winding, non-trivial band topology, strong electron-electron correlations, high-Tc superconductivity and the simplification of single material. It overcomes many difficulties suffered in heterostructure-based Majorana platforms, including small topological gap, interfacial contamination, lattice imperfections, and etc. Isolated zero-bias peaks have been found in vortex of several iron-based superconductors. So far, studies from both experimental and theoretical aspects strongly indicate the realization of vortex Majorana zero mode, with a potential to be applied to topological quantum computation. By taking Fe(Te,Se) superconductor as an example, here we review original idea and research progress of Majorana zero modes in this new platform. After introducing the identifications of topological band structure and real zero modes in vortex, we summarize the physics behaviors of vortex Majorana zero modes systematically. Firstly, relying on the behavior of the zero mode wave function and evidence of quasiparticle poisoning, we analyze the mechanism of emergence of vortex Majorana zero modes. Secondly, assisted with some well-established theories, we elaborate the measurements on Majorana symmetry and topological nature of vortex Majorana zero modes. After that, we switch from quantum physics to quantum engineering, and analyze the performance of vortex Majorana zero mode under real circumstances, which may potentially benefit the exploration of practical applications in the future. This review follows the physics properties of vortex Majorana zero modes, especially emphasizes the link between phenomena and mechanisms. It provides a chance to bridge the gap between the well-established theories and the newly discovered iron home of Majoranas.

41 pages, 17 figures. A review article of Majorana zero modes on iron-based superconducting vortex

References in corpus (68)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Classification of topological insulators and superconductors in three spatial dimensions
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Unconventional pairing originating from disconnected Fermi surfaces in superconducting LaFeAsO${}_{1-x}$F${}_x$}
• High-temperature superconductivity in iron-based materials
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Observation of Fermi-surface-dependent nodeless superconducting gaps in Ba0.6K0.4Fe2As2
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Scaling of Majorana Zero-Bias Conductance Peaks
• Pairing Symmetry in a Two-Orbital Exchange Coupling Model of Oxypnictides
• Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
• Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
• Majorana qubit decoherence by quasiparticle poisoning
• Zero-energy vortex bound state in the superconducting topological surface state of Fe(Se,Te)
• Distinguishing a Majorana zero mode using spin resolved measurements
• Angle-resolved photoemission spectroscopy and its application to topological materials
• Nodal Spin Density Wave and band topology of the FeAs based materials
• Dislocations and vortices in pair density wave superconductors
• Observation of a Robust Zero-energy Bound State in Iron-based Superconductor Fe(Te,Se)
• Ballistic superconductivity in semiconductor nanowires
• Iron based high transition temperature superconductors
• Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
• Splitting of Majorana modes due to intervortex tunneling in a p + ip superconductor
• Observation of a Majorana zero mode in a topologically protected edge channel
• Scanning Tunneling Microscopy/Spectroscopy of Vortices in LiFeAs
• Observation of Lattice and Andreev Bound States of Vortices in Ba0.6K0.4Fe2As2 Single Crystals with Scanning Tunneling Microscopy/Spectroscopy
• Electron and hole Dirac cone states in-pairs in Ba(FeAs)${}_2$ confirmed by magnetoresistance
• Inter-pocket pairing and gap symmetry in Fe-based superconductors with only electron pockets
• Tunneling of anyonic Majorana excitations in topological superconductors
• Signatures of Majorana Zero Modes in Spin-Resolved Current Correlations
• Spin-Polarized Surface Resonances Accompanying Topological Surface State Formation
• Quantized conductance of Majorana zero mode in the vortex of the topological superconductor (Li0.84Fe0.16)OHFeSe
• Topological and Transport Properties of Dirac Fermions in Antiferromagnetic Metallic Phase of Iron-Based Superconductors
• Theory for Superconductivity in Iron Pnictides at Large Coulomb U Limit
• Strongly interacting Majorana fermions
• The fate of topological-insulator surface states under strong disorder
• Topological Phases in the Single-Layer FeSe
• Quantum vortex core and missing pseudogap in the multi-band BCS-BEC-crossover superconductor FeSe
• Electron temperature and tunnel coupling dependence of zero-bias and almost-zero-bias conductance peaks in Majorana nanowires
• Effects of strain on the electronic structure, superconductivity, and nematicity in FeSe studied by angle-resolved photoemission spectroscopy
• Imaging atomic-scale effects of high-energy ion irradiation on superconductivity and vortex pinning in Fe(Se,Te)
• Evidence for Helical Hinge Zero Modes in an Fe-Based Superconductor
• Resilient nodeless $d$-wave superconductivity in monolayer FeSe
• Quantized charge transport in chiral Majorana edge modes
• Crystalline symmetry protected helical Majorana modes in the iron pnictides
• Quasi 1D topological nodal vortex line phase in doped superconducting 3D Dirac Semimetals
• CaFeAs${}_2$: a Staggered Intercalation of Quantum Spin Hall and High Temperature Superconductivity
• Unconventional transformation of spin Dirac phase across a topological quantum phase transition
• ARPES measurements of the superconducting gap of Fe-based superconductors and their implications to the pairing mechanism
• Theory of surface Andreev bound states and tunneling spectroscopy in three-dimensional chiral superconductors
• Comment on " Low-Lying Quasiparticle States and Hidden Collective Charge Instabilities in Parent Cobaltate Superconductors"
• Modification and Control of Topological Insulator Surface States Using Surface Disorder
• On the interplay of paramagnetism and topology in the Fe-based High Tc Superconductors
• Subharmonic gap structure in superconducting scanning tunneling microscope junctions
• Observation of an electron band above the Fermi level in FeTe${}_{0.55}$Se${}_{0.45}$ from \emph{in-situ} surface doping
• Surface Versus Bulk Dirac States Tuning in a Three-Dimensional Topological Dirac Semimetal
• Vortex spectroscopy in the vortex glass: A real-space numerical approach
• Majorana vortex-bound states in three-dimensional nodal noncentrosymmetric superconductors
• Spectromicroscopic measurement of surface and bulk band structure interplay in a disordered topological insulator
• Scheme for Majorana Manipulation Using Magnetic Force Microscopy
• Tuning across the BCS-BEC crossover in the multiband superconductor Fe${}_{1+y}$Se${}_x$Te${}_{1-x}$ : An angle-resolved photoemission study
• The de Hass-van Alphen quantum oscillations in BaSn3 superconductor with multiple Dirac fermions