Topological quantum states of matter in iron-based superconductors: From concepts to material realization

Abstract

We review recent progress in the explorations of topological quantum states of matter in iron-based superconductors. In particular, we focus on the nontrivial topology existing in the band structures and superconducting states of iron's 3d orbitals. The basic concepts, models, materials and experimental results are reviewed. The natural integration between topology and high-temperature superconductivity in iron-based superconductors provides great opportunities to study topological superconductivity and Majorana modes at high temperature.

arXiv comment13 pages, 4 figures. A review article for National Science Review

References in corpus (73)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Non-Abelian Anyons and Topological Quantum Computation
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Topological Insulators in Three Dimensions
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological Insulators with Inversion Symmetry
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Topological invariants of time-reversal-invariant band structures
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• A generic new platform for topological quantum computation using semiconductor heterostructures
• High-temperature superconductivity in iron-based materials
• Interface induced high temperature superconductivity in single unit-cell FeSe films on SrTiO3
• Majorana fermions in a tunable semiconductor device
• LaFeAsO${}_{1-x}$F${}_x$: A low carrier density superconductor near itinerant magnetism
• Gap symmetry and structure of Fe-based superconductors
• Exponential Protection of Zero Modes in Majorana Islands
• Superconductivity in CuxBi2Se3 and its implications for pairing in the undoped topological insulator
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Model Hamiltonian for Topological Insulators
• Nonlocal edge state transport in the quantum spin Hall state
• Phase Diagram and High Temperature Superconductivity at 65 K in Tuning Carrier Concentration of Single-Layer FeSe Films
• Odd-Parity Topological Superconductors: Theory and Application to Cu${}_x$Bi${}_2$Se${}_3$
• Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
• Evidence for Majorana bound state in an iron-based superconductor
• Observation of topological superconductivity on the surface of an iron-based superconductor
• Interfacial mode coupling as the origin of the enhancement of Tc in FeSe films on SrTiO3
• Imaging the Effects of Individual Zinc Impurity Atoms on Superconductivity in Bi2Sr2CaCu2O8+delta
• Interface-induced superconductivity and strain-dependent spin density wave in FeSe/SrTiO3 thin films
• Topological Superconductivity in CuxBi2Se3
• Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
• Majorana mode in vortex core of Bi2Te3/NbSe2 topological insulator-superconductor heterostructure
• Electronic Origin of High Temperature Superconductivity in Single-Layer FeSe Superconductor
• Electronic Structure and Doping in BaFe${}_2$As${}_2$ and LiFeAs: Density Functional Calculations
• One-dimensional Topological Edge States of Bismuth Bilayers
• Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
• Angle Dependent Van Hove Singularities in Slightly Twisted Graphene Bilayer
• Bulk superconducting phase with a full energy gap in the doped topological insulator Cu_xBi_2Se_3
• Zero-voltage conductance peak from weak antilocalization in a Majorana nanowire
• Topological nature of FeSe${}_{0.5}$Te${}_{0.5}$ superconductor
• Class D spectral peak in Majorana quantum wires
• Topological superconductivity on the surface of Fe-based superconductors
• Multiple topological states in iron-based superconductors
• Superconductivity with topological surface state in SrxBi2Se3
• Scanning Tunneling Spectroscopy and Vortex Imaging in the Iron-Pnictide Superconductor BaFe${}_{1.8}$Co${}_{0.2}$As${}_2$
• Critical role of substrate in the high temperature superconductivity of single layer FeSe on Nb:BaTiO${}_3$
• 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
• Local Measurements of the Superconducting Pairing Symmetry in CuxBi2Se3
• Superconductivity at T_c ~ 14 K in Single Crystalline FeTe${}_{0.61}$Se${}_{0.39}$
• Space group symmetry, spin-orbit coupling and the low energy effective Hamiltonian for iron based superconductors
• Momentum space imaging of Cooper pairing in a half-Dirac-gas topological superconductor (a helical 2D topological superconductor)
• Topological Characters in Fe(Te${}_{1-x}$Se${}_x$) thin films
• Observation of Lattice and Andreev Bound States of Vortices in Ba0.6K0.4Fe2As2 Single Crystals with Scanning Tunneling Microscopy/Spectroscopy
• Evolution of the fermi surface of a doped topological insulator with carrier concentration
• FeTe${}_{1-x}$Se${}_x$ monolayer films: towards the realization of high-temperature connate topological superconductivity
• Electron temperature and tunnel coupling dependence of zero-bias and almost-zero-bias conductance peaks in Majorana nanowires
• Quantum anomalous vortex and Majorana zero mode in iron-based superconductor Fe(Te,Se)
• Dirac-Fermion-Induced Parity Mixing in Superconducting Topological Insulators
• CaFeAs${}_2$: a Staggered Intercalation of Quantum Spin Hall and High Temperature Superconductivity
• The effect of As-Chain layers in CaFeAs${}_2$
• Odd parity pairing and nodeless anti-phase $s^{\pm }$ in Iron-Based Superconductors
• Topological superconducting states in monolayer FeSe/SrTiO${}_3$
• A Proposal to Measure the Quasiparticle Poisoning Time of Majorana Bound States
• Basic electronic properties of iron selenide under variation of structural parameters
• Topological crystalline antiferromagnetic state in tetragonal FeS

Cited by in corpus (43)

• Kagome superconductors AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• Higher Order Topology and Nodal Topological Superconductivity in Fe(Se,Te) Heterostructures
• On the Remarkable Superconductivity of FeSe and its Close Cousins
• Exotic Superconducting States in FeSe-based Materials
• Scalable Majorana vortex modes in iron-based superconductors
• Boundary-obstructed topological high-T${}_c$ superconductivity in iron pnictides
• All-electrically tunable networks of Majorana bound states
• Exploring Topological Superconductivity in Topological Materials
• Observation of topological transition in high-T${}_c$ superconductor FeTe${}_{1-x}$Se${}_x$/SrTiO${}_3$(001) monolayers
• Vortex-line topology in iron-based superconductors with and without second-order topology
• Topological Superconductivity in an s-wave Superconductor and Its Implication to Iron-based Superconductors
• Dirac phonons in two-dimensional materials
• Effect of Zeeman coupling on the Majorana vortex modes in iron-based topological superconductors
• The soft-mode phonons mediated unconventional superconductivity in monolayer 1T'-WTe2
• Evidence of topological nodal lines and surface states in the centrosymmetric superconductor SnTaS2
• Phase-manipulation-induced Majorana Mode and Braiding Realization in Iron-based Superconductor Fe(Te,Se)
• Correlation-corrected band topology and topological surface states in iron-based superconductors
• Triple point fermions in ferroelectric GeTe
• Experimental evidence of anomalously large superconducting gap on topological surface state of $\beta$-$\mathbf{B}{\mathbf{i}}_2\mathbf{Pd}$ film
• Pinning properties of FeSeTe thin film through multifrequency measurements of the surface impedance
• Direct probing of a large spin-orbit coupling in the FeSe superconducting monolayer on STO: Evidence for nontrivial topological states
• Topological classification of intrinsic 3D superconductors using anomalous surface construction
• Direct observation of quantum anomalous vortex in Fe(Se,Te)
• Rotational symmetry breaking and partial Majorana corner states in a high-Tc superconductor based heterostructure
• Unraveling the origin of Kondo-like behavior in the 3$d$-electron heavy-fermion compound YFe${}_2$Ge${}_2$
• Observation of spin-polarized surface states in a nodal line semimetal SnTaS${}_2$
• Searching for Majorana quasiparticles at vortex cores in iron-based superconductors
• Topological superconductor candidates PdBi${}_2$Te${}_4$ and PdBi${}_2$Te${}_5$ from a generic ab initio strategy
• Unveiling non-Abelian statistics of vortex Majorana bound states in iron-based superconductors using fermionic modes
• Interaction-driven first-order and higher-order topological superconductivity
• Ferromagnetic Impurity Induced Majorana Zero Mode in Iron-Based Superconductor
• Spin-Dependent High-Order Topological Insulator and Two Types of Distinct Corner Modes in Monolayer FeSe/GdClO Heterostructure
• Stealth Majorana Zero Mode in a Trilayer Heterostructure MnTe/Bi2Te3/Fe(Te,Se)
• Double Majorana Vortex Flat Bands in the Topological Dirac Superconductor
• Proximity effect and inverse proximity effect in a topological-insulator/iron-based-superconductor heterostructure
• Superconductivity and vortex structure on Bi${}_2$Te${}_3$/FeTe${}_{0.55}$Se${}_{0.45}$ heterostructures with different thickness of Bi${}_2$Te${}_3$ films
• Identifying Majorana Zero Modes in Vortex Lattices Using Fano Factor Tomography
• Degenerate Topological Edge States in Multimer Chains
• Magnetic-field driven evolution of zero-energy mode on Bi islands deposited on Fe(Te,Se)
• Inversion-symmetric Electron Gases as New Platforms for Topological Planar Josephson Junctions
• Orbital homology of p and t2g orbitals in models and materials
• First-principles study of the electronic structure of CaKRu${}_4$P${}_4$
• Hybrid collective excitations in topological superconductor/ferromagnetic insulator heterostructures