Topological superconductors: a review

2016/08/31 by Masatoshi Sato, Yoichi Ando · 1,625 citations
Materials Science · Physics and Astronomy · #Chemical and Physical Properties of Materials #Fermion #MAJORANA #Majorana fermion #Rare-earth and actinide compounds #Superconductivity #Topological Materials and Phenomena #Topology (electrical circuits) #Variety (cybernetics) #Zero mode #cond-mat.supr-con

paper · pdf · doi:10.1088/1361-6633/aa6ac7

published in Reports on Progress in Physics 80(7), 076501 (IOP Publishing) · 45 pages, 18 figures, 286 references; final accepted version to appear in Rep. Prog. Phys

openalex publication_date 2017/04/03 · arxiv created 2017/04/04 · openalex created_date 2017/04/14 · arxiv updated 2017/05/18 · openalex updated_date 2026/08/06

Abstract

This review elaborates pedagogically on the fundamental concept, basic theory, expected properties, and materials realizations of topological superconductors. The relation between topological superconductivity and Majorana fermions are explained, and the difference between dispersive Majorana fermions and a localized Majorana zero mode is emphasized. A variety of routes to topological superconductivity are explained with an emphasis on the roles of spin-orbit coupling. Present experimental situations and possible signatures of topological superconductivity are summarized with an emphasis on intrinsic topological superconductors.

Citations

• Topological Insulator Materials
• Topological Stability of Majorana Zero Modes in Superconductor–Topological Insulator Systems
• Fault-tolerant quantum computation by anyons
• Non-Abelian anyons and topological quantum computation

Cited by

• Visualization of vortex sheets and half quantum vortices in the chiral odd-parity superconductor UPt₃
• Josephson phase shift and diode effect due to the inverse spin Hall effect
• Noninteracting tight-binding models for Fock parafermions
• Inverse scattering for waveguides in topological insulators
• Berry curvature effects of chiral superconducting rhombohedral graphene
• Nonlocal Majorana polarization in non-Hermitian topological superconductors
• Intrinsic spin Nernst effect in spin-triplet superconductors
• p-wave superconductivity and Josephson current in p-wave unconventional magnet/s-wave superconductor hybrid systems
• Simulation of topological superconductors and their competing orders using photon-mediated interactions
• Chiral topological superconductivity in twisted bilayer and double bilayer graphene
• Probing the intermediate state of type-I superconductor SnAs using Muon Spin Spectroscopy
• Nonunitary spin-triplet superconductors in Zeeman magnetic field
• Quantum theory for edge current and noise in 2D topological superconductors
• Pressure-Induced Changes in Structure, Magnetic Order and Development of Superconductivity in the Ferromagnetic Topological Insulator MnBi8Te13
• Spin-fluctuation-mediated chiral d+id'-wave superconductivity in the α-T₃ lattice with an incipient flat band
• Chiral topological superconductivity in hole-doped Sn/Si(111)
• Cascade of topological phase transitions and revival of topological zero modes in imperfect double helical liquids
• Mechanism for Nodal Topological Superconductivity on PtBi₂ Surface
• Proximity-induced superconductivity in magnetic topological insulator films
• Quantum Coulomb drag signatures of Majorana bound states
• Nonlocal Josephson diode effect in minimal Kitaev chains
• Interaction-Driven Chern Insulator at Zero Electric Field in ABCB-Stacked Tetralayer Graphene
• Spin responses of a disordered helical superconducting edge under Zeeman field
• Nonsymmorphic symmetry protected hourglass Dirac chain topology and conventional superconductivity in ZrIrGe
• Free Majorana Modes in Superconducting Quantum Wires
• Direct observation of the surface superconducting gap in the topological superconductor candidate β-PdBi2
• Topological Charges of Periodically Kicked Molecules
• Grand Challenges in Quantum Fluids and Solids
• Quantum geometric magnetic monopole and two-phase superconductivity in CeRh₂As₂
• Ballistic transport in 1D Rashba systems in the context of Majorana nanowires
• Inter-orbital spin-triplet superconductivity from altermagnetic fluctuations
• Altermagnetism induced surface Chern insulator
• Crossed surface flat bands in three-dimensional superconducting altermagnets
• Multi-orbital Dirac superconductors and their realization of higher-order topology
• One-dimensional topological superconductors with nonsymmorphic symmetries
• Odd-frequency Pairing in Josephson Junctions Coupled by Magnetic Textures
• Dynamics of Majorana zero modes across hybrid Kitaev chain
• Fingerprinting superconductors by disentangling Andreev and quasiparticle currents across tunable tunnel junctions
• Topological Quantum
• Non-Hermitian topological superconductivity with symmetry-enriched spectral and eigenstate features
• What causes the variation in superconducting properties of UTe₂?
• Evolution of surface morphology from Stranski–Krastanov growth mode to step-flow growth mode in InSbBi thin films
• Uncovering domain morphology in an unconventional magnet with scanning diamond quantum magnetometry
• Probing the quantum metric of 3D topological insulators
• Laughlin charge pumping from interplay of chiral Dirac and chiral Majorana modes
• Spin-exchange induced spillover on poor man’s Majoranas in minimal Kitaev chains
• Electrostatic gating and the interference of chiral Majoranas in thin slabs of magnetic topological insulators
• Euler band topology in superfluids and superconductors
• Orbital Hybridization-Induced Ising-Type Superconductivity in a Confined Gallium Layer
• Harnessing Topological Valley-Hall States in Photonic Crystals for Robust Cancer Cell Detection
• Revisiting the Poor Man's Majoranas: The Spin-Exchange Induced Spillover Effect
• Electronic correlations in magnetized helical edge states coupled to s-wave superconductors
• Subspace-Protected Topological Phases and Bulk-Boundary Correspondence
• Non-Hermitian Josephson junctions with four Majorana zero modes
• Robust field re-entrant superconductivity in ferromagnetic infinite-layer rare-earth nickelates
• Terahertz range polarization rotation in the candidate time-reversal symmetry breaking superconductor BiNi
• Topological hydrodynamics in spin-triplet superconductors
• Engineering subgap states in superconductors by altermagnetism
• Localized states and skin effect around non-Hermitian impurities in tight-binding models
• Hybrid collective excitations in topological superconductor/ferromagnetic insulator heterostructures
• Fragmented exceptional points and their bulk and edge realizations in lattice models
• Topological indicators for systems with open boundaries: Application to the Kitaev wire
• Superconducting density of states of PtPb4
• Microscopic Fingerprint of Chiral Superconductivity
• Emergent topology by Landau level mixing in quantum Hall-superconductor nanostructures
• Sizable superconducting gap and anisotropic chiral topological superconductivity in the Weyl semimetal PtBi₂
• Magnon topology driven by altermagnetism
• Spin-Valley Locking and Pure Spin-Triplet Superconductivity in Noncollinear Antiferromagnets Proximitized to Conventional Superconductors
• Semimetallic Superconductivity in Cubic Nd₃In: A First-Principles Insight into Indium-Based Compounds
• The Effect of Pearl Vortices on the Shape and Position of Néel-Type Skyrmions in Superconductor-Chiral Ferromagnet Heterostructures
• Strengthened correlations near [110] edges of d-wave superconductors in the t-J model with the Gutzwiller approximation
• Fermi Surface Reconstruction and Anisotropic Linear Magnetoresistance in the Charge Density Wave Topological Semimetal TaTe4
• A time-reversal invariant vortex in topological superconductors and gravitational ℤ₂ topology
• Robustness of the flux-free sector of the Kitaev honeycomb against environment
• Majoranas with a twist: Tunable Majorana zero modes in altermagnetic heterostructures
• Rashba spin-orbit coupling and artificially engineered topological superconductors
• Antichiral edge states and Bogoliubov Fermi surfaces in a two-dimensional proximity-induced superconductor
• Fermion parity switches imprinted in the photonic field of cavity embedded Kitaev chains
• Multiband superconductivity in the topological Kramers nodal-line semimetals
• Phonon-mediated intrinsic topological superconductivity in Fermi arcs
• Anomalous proximity effect under Andreev and Majorana bound states
• Quantum transport phenomena induced by time-dependent fields
• Chiral Anomaly Induced Transverse Planar Transport Phenomena in Three Dimensional Spin-Orbit Coupled Metals
• Zero Energy Modes with Gaussian, Exponential, or Polynomial Decay: Exact Solutions in Hermitian and non-Hermitian Regimes
• Composite quantum geometry of superconductors
• Procedure of tuning up a three-site artificial Kitaev chain based on transmon measurements
• Emergence of Double-Dome Superconductivity in the Pressurized Dirac Semimetal BaMg2Bi2
• Topological superconductor candidates PdBi2Te4 and PdBi2Te5 from a generic ab initio strategy
• Interface-Bound States and Majorana Zero Modes in Lateral Heterostructures of Bi₂Se₃ and Sb₂Te₃ with Proximity-Induced Superconductivity
• Physical Pictures for Quasisymmetry in Crystals
• Pairing States of Spin-32 Fermions: Symmetry-Enforced Topological Gap Functions
• Ferroelectrically Switchable Chirality in Topological Superconductivity
• Effect of interatomic repulsion and quasi-degenerate states on a Kitaev-transmon qubit based on double quantum dots
• Planckian scattering and parallel conduction channels in the iron chalcogenide superconductors FeTe_1-xSe_x
• Topological electronic bands in crystalline solids
• Tunable Topological Superconductivity by Fully Compensated Ferrimagnets
• Magnetononlinear Hall effect from multigap topology in metal-organic frameworks
• Eightfold fermionic excitation in a charge density wave compound
• Large spin to charge conversion in the topological superconductor β−PdBi2 at room temperature
• Bulk-boundary correspondence in non-Hermitian Hopf-link exceptional line semimetals
• Topologically nontrivial Andreev bound states
• Majorana-like localized spin density without bound states in topologically trivial spin-orbit coupled nanowires
• Floquet second-order topological superconductor driven via ferromagnetic resonance
• Anomalous proximity effect of planar topological Josephson junctions
• Time-Reversal Symmetry Breaking in Re-Based Superconductors: Recent Developments
• Topological superconductivity on the honeycomb lattice: Effect of normal state topology
• Quantum Dynamical Characterization and Simulation of Topological Phases With High-Order Band Inversion Surfaces
• Topological superconductivity in a van der Waals heterostructure
• Topological properties and functionalities in oxide thin films and interfaces
• Topological Ising superconductivity in two-dimensional p-wave magnet
• Topological current divider
• Charge-order-assisted topological surface states and flat bands in the kagome superconductor CsV₃Sb₅
• Intersecting topological nodal ring and nodal wall states in superhard superconductor FeB4
• Spin-singlet superconductivity in the doped topological crystalline insulator Sn0.96In0.04Te
• Observation of Coexisting Weak Localization and Superconducting Fluctuations in Strained Sn1–xInxTe Thin Films
• Kramers doublet ground state in topological Kondo insulators
• Multigap superconductivity in centrosymmetric and noncentrosymmetric rhenium-boron superconductors
• Spin-orbit coupled superconductivity: Rashba-Hubbard model on the square lattice
• Effect of pressure on the physical properties of the superconductor NiBi3
• Conductance smearing and anisotropic suppression of induced superconductivity in a Majorana nanowire
• Mechanism for Unconventional Superconductivity in the Hole-Doped Rashba-Hubbard Model
• Twofold symmetry of c-axis resistivity in topological kagome superconductor CsV3Sb5 with in-plane rotating magnetic field
• Floquet Topological Phase of Nondriven p-Wave Nonequilibrium Excitonic Insulators
• Extending machine learning classification capabilities with histogram reweighting
• Fermi surface evolution in Weyl semimetal t-PtBi₂ probed by transverse transport properties
• Proposal for Measuring the Parity Anomaly in a Topological Superconductor Ring
• Topological Phase Transition Driven by Infinitesimal Instability: Majorana Fermions in Non-Hermitian Spintronics
• Effects of phase coherence on local density of states in superconducting proximity structures
• Non-symmorphic symmetry and field-driven odd-parity pairing in CeRh₂As₂
• Spectrum Collapse of Disordered Dirac Landau Levels as Topological Non-Hermitian Physics
• Periodic Anderson model for magnetism and superconductivity in UTe2
• Theory of the orbital moment in a superconductor
• Non-Abelian braiding of Majorana-like edge states and topological quantum computations in electric circuits
• Nearly ferromagnetic spin-triplet superconductivity
• Berry Curvature Effects on Quasiparticle Dynamics in Superconductors
• Anisotropy and multiband superconductivity in Sr2RuO4 determined by small-angle neutron scattering studies of the vortex lattice
• Optical Responses of Chiral Majorana Edge States in Two-Dimensional Topological Superconductors
• Chiral superconductivity in heavy-fermion metal UTe2
• Superconductivity induced by Ag intercalation in Dirac semimetal Bi2Se3
• Tri-component-pairing chiral superconductivity on the honeycomb lattice with mixed s- and d-wave symmetries
• Majorana Zero Modes in Ferromagnetic Wires without Spin-Orbit Coupling
• A perspective on semiconductor-based superconducting qubits
• Exceptionally large winding number of a finite-size topological superconductor
• A New Magnetic Topological Quantum Material Candidate by Design. [europepmc]
• Atomic-scale interface engineering of Majorana edge modes in a 2D magnet-superconductor hybrid system. [europepmc]
• Spectroscopic fingerprint of chiral Majorana modes at the edge of a quantum anomalous Hall insulator/superconductor heterostructure. [europepmc]
• Conversion of a conventional superconductor into a topological superconductor by topological proximity effect. [europepmc]
• Two-Dimensional Noble-Metal Chalcogenides and Phosphochalcogenides. [europepmc]
• Refined symmetry indicators for topological superconductors in all space groups. [europepmc]
• A Unified View of Topological Phase Transition in Band Theory. [europepmc]
• Thermal transport of helium-3 in a strongly confining channel. [europepmc]
• Evidence for a pressure-induced antiferromagnetic quantum critical point in intermediate-valence UTe 2 . [europepmc]
• Fragility of surface states in topological superfluid 3 He. [europepmc]
• Electronic and Magnetic Characterization of Epitaxial CrBr 3 Monolayers on a Superconducting Substrate. [europepmc]
• Anomalous normal fluid response in a chiral superconductor UTe 2 . [europepmc]
• Observation of topological superconductivity in a stoichiometric transition metal dichalcogenide 2M-WS 2 . [europepmc]
• Extreme magnetic field-boosted superconductivity. [europepmc]
• Enhancement and reentrance of spin triplet superconductivity in UTe 2 under pressure. [europepmc]
• Topological phase transition in chiral graphene nanoribbons: from edge bands to end states. [europepmc]
• New Dimension in Magnetism and Superconductivity: 3D and Curvilinear Nanoarchitectures. [europepmc]
• Twofold symmetry of c-axis resistivity in topological kagome superconductor CsV 3 Sb 5 with in-plane rotating magnetic field. [europepmc]
• Non-Majorana modes in diluted spin chains proximitized to a superconductor. [europepmc]
• Spin-orbital Yu-Shiba-Rusinov states in single Kondo molecular magnet. [europepmc]
• Quasi-2D Fermi surface in the anomalous superconductor UTe 2 . [europepmc]
• Evidence of superconducting Fermi arcs. [europepmc]
• Link between supercurrent diode and anomalous Josephson effect revealed by gate-controlled interferometry. [europepmc]
• Mechanical control of crystal symmetry and superconductivity in Weyl semimetal MoTe 2 . [europepmc]
• Van Der Waals Hybrid Integration of 2D Semimetals for Broadband Photodetection. [europepmc]

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