A road to reality with topological superconductors

Abstract

Topological states of matter are a source of low-energy quasiparticles, bound to a defect or propagating along the surface. In a superconductor these are Majorana fermions, described by a real rather than a complex wave function. The absence of complex phase factors promises protection against decoherence in quantum computations based on topological superconductivity. This is a tutorial style introduction written for a Nature Physics focus issue on topological matter.

arXiv commentpre-copy-editing, author-produced version of the published paper: 4 pages, 2 figures

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Cited by in corpus (60)

• Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
• Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
• Topological characterization of chiral models through their long time dynamics
• Giant spontaneous Hall effect in a nonmagnetic Weyl-Kondo semimetal
• Majorana nanowires for topological quantum computation
• Revealing the magnetic proximity effect in EuS/Al bilayers through superconducting tunneling spectroscopy
• A comprehensive review on topological superconducting materials and interfaces
• Conventional Superconductivity in Type II Dirac Semimetal PdTe${}_2$
• Enhanced proximity effect in zigzag-shaped Majorana Josephson junctions
• Tunneling dynamics between superconducting bound states at the atomic limit
• The Majorana spin in magnetic atomic chain systems
• Topological superconductivity in planar Josephson junctions: Narrowing down to the nanowire limit
• Detecting topological superconductivity using low-frequency doubled Shapiro steps
• Evolving Devil's staircase magnetization from tunable charge density waves in nonsymmorphic Dirac semimetals
• Electrically tunable topological superconductivity and Majorana fermions in two dimensions
• Space, matter and topology
• Braiding-based quantum control of a Majorana qubit built from quantum dots
• Ultrathin Films of Superconducting Metals as a Platform for Topological Superconductivity
• Conductance spectroscopy of nontopological-topological superconductor junctions
• Majorana Spin Liquids, Topology and Superconductivity in Ladders
• Mixed type I and type II superconductivity due to intrinsic electronic inhomogeneities in the type II Dirac semimetal PdTe2
• Photonic Discrete-time Quantum Walks and Applications
• Synthetically Non-Hermitian Nonlinear Wave-like Behavior in a Topological Mechanical Metamaterial
• Evidence for Unconventional Superconductivity and Nontrivial Topology in PdTe
• Transport in superconductor--normal metal--superconductor tunneling structures: Spinful p-wave and spin-orbit-coupled topological wires
• Tip-induced Superconductivity Coexisting with Preserved Topological Properties in Line-nodal Semimetal ZrSiS
• Impact of topology on the impurity effects in extended $s$-wave superconductors with spin-orbit coupling
• Majorana Zero-Modes in a Two-Dimensional $p$-Wave Superconductor
• Tangent fermions: Dirac or Majorana fermions on a lattice without fermion doubling
• Low-energy excitations and non-BCS superconductivity in Nb${}_x$-Bi${}_2$Se${}_3$
• Study of Nb${}_{0.18}$Re${}_{0.82}$ non-centrosymmetric superconductor in the normal and superconducting states
• Probing Majorana and Andreev Bound States with Waiting Times
• Electronic structure of topological superconductor candidate Au${}_2$Pb
• Localization landscape for Dirac fermions
• Group theory study of the vibrational modes and magnetic order in the topological antiferromagnet MnBi${}_2$Te${}_4$
• Superconducting properties and gap structure of the topological superconductor candidate Ti_(3)Sb
• Topological line in frustrated Toric code models
• Engineering Quantum Spin Liquids and Many-Body Majorana States with a Driven Superconducting Box Circuit
• Wiedemann-Franz-type relation between shot noise and thermal conduction of Majorana surface states in a three-dimensional topological superconductor
• Topology, Holonomy, and Quantum Walks
• Topological antiferromagnetic spintronics: Part of a collection of reviews on antiferromagnetic spintronics
• Accurate projective two-band description of topological superfluidity in spin-orbit-coupled Fermi gases
• Interaction-induced topological superconductivity in antiferromagnet-superconductor junctions
• Bulk Superconductivity in the Dirac Semimetal TlSb
• A topological current divider
• Critical Current Anomaly at the Topological Quantum Phase Transition in a Majorana Josephson Junction
• Tomasch Oscillations as Above-Gap Signature of Topological Superconductivity
• Topological Transitions in a Model for Proximity Induced Superconductivity
• Coexistence of topological and nontopological Fermi-superfluid phases
• Flat connections in three-manifolds and classical Chern-Simons invariant
• Non-Hermitian $p$-wave superfluid and effects of the inelastic three-body loss in a one-dimensional spin-polarized Fermi gas
• Fermi Surface Topology and Magneto-transport Properties of Superconducting Pd${}_3$Bi${}_2$Se${}_2$
• Majorana-metal transition in a disordered superconductor: percolation in a landscape of topological domain walls
• Andreev bound states at boundaries of polarized 2D Fermi superfluids with s-wave pairing and spin-orbit coupling
• Poor-man's Majorana edge mode enabled by specular Andreev reflection
• Quantum theory for edge current and noise in two-dimensional topological superconductors
• Nonlinear optical response of Type-II Weyl fermions in two dimensions
• Chirality inversion of Majorana edge modes in a Fu-Kane heterostructure
• SnAs: a 4K weak type-II superconductor with non-trivial band topology
• Shot noise from which-path detection in a chiral Majorana interferometer