Topological superconductors: a review

2017/04/03 by Masatoshi Sato, Yoichi Ando · 64 citations
Physics and Astronomy · Materials Science · #Topological Materials and Phenomena #Rare-earth and actinide compounds #Chemical and Physical Properties of Materials

paper · doi:10.1088/1361-6633/aa6ac7

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
• Recent Progress and New 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

Related

• Topological superconductors from a materials perspective
• Exploring Superconductivity: The Interplay of Electronic Orders in Topological Quantum Materials
• Introduction to Topological Superconductivity and Majorana Fermions for Quantum Engineers
• McGill University M. Sc. Thesis: Topological Superconductivity without Proximity Effect
• Topological Insulators