Weyl superconductors

Abstract

We study the physics of the superconducting variant of Weyl semimetals, which may be realized in multilayer structures comprising topological insulators and superconductors. We show how superconductivity can split each Weyl node into two. The resulting Bogoliubov Weyl nodes can be pairwise independently controlled, allowing to access a set of phases characterized by different numbers of bulk Bogoliubov Weyl nodes and chiral Majorana surface modes. We analyze the physics of vortices in such systems, which trap zero energy Majorana modes only under certain conditions. We finally comment on possible experimental probes, thereby also exploiting the similarities between Weyl superconductors and 2-dimensional p + ip superconductors.

13 pages, 5 figures

References in corpus (10)

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• Topological field theory and thermal responses of interacting topological superconductors
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• Surface magnetic ordering in topological insulators with bulk magnetic dopants
• Flat band in the core of topological defects: bulk-vortex correspondence in topological superfluids with Fermi points

Cited by in corpus (201)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological superconductors: a review
• Colloquium: Topological Band Theory
• Correlated quantum phenomena in the strong spin-orbit regime
• Dirac materials
• Topological response in Weyl semimetals and the chiral anomaly
• Recent developments in transport phenomena in Weyl semimetals
• Classification of Exceptional Points and Non-Hermitian Topological Semimetals
• Axionic field theory of (3+1)-dimensional Weyl semi-metals
• Majorana Fermions and Topology in Superconductors
• Classification of reflection symmetry protected topological semimetals and nodal superconductors
• Weyl Metals
• Dirac and Weyl Superconductors in Three Dimensions
• Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
• Thermoelectric properties of Weyl and Dirac semimetals
• Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
• Weyl, Dirac and high-fold chiral fermions in topological quantum materials
• Superconductivity of doped Weyl semimetals: finite-momentum pairing and electronic analogues of the 3He-A phase
• Topological surface states in nodal superconductors
• Axial anomaly and longitudinal magnetoresistance of a generic three dimensional metal
• Topological superconductivity in Dirac semimetals
• Chiral $d$-wave Superconductivity in SrPtAs
• Nernst and magneto-thermal conductivity in a lattice model of Weyl fermions
• Second Order Topological Superconductivity in $\pi$-Junction Rashba Layers
• Rare region effects dominate weakly disordered 3D Dirac points
• Dirty Weyl fermions: rare region effects near 3D Dirac points
• Superconductivity in Weyl metals
• Long Range Intrinsic Ferromagnetism in Two Dimensional Materials and Dissipationless Future Technologies
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• Dirac and Weyl Materials: Fundamental Aspects and Some Spintronics Applications
• Excitonic Phases from Weyl Semi-Metals
• Topological nodal Cooper pairing in doped Weyl metals
• Odd-parity superconductors with two-component order parameters: nematic and chiral, full gap and Majorana node
• Inducing superconductivity in Weyl semi-metal microstructures by selective ion sputtering
• Weyl spin liquids
• Phase diagrams of disordered Weyl semimetals
• Weyl semimetals with short-range interactions
• Majorana Flat Bands and Uni-directional Majorana Edge States in Gapless Topological Superconductors
• Quantum limit transport and destruction of the Weyl nodes in TaAs
• Pairing states of spin-3/2 fermions: Symmetry-enforced topological gap functions
• Odd parity superconductivity in Weyl semimetals
• Optical gyrotropy as a test for dynamic chiral magnetic effect of Weyl semimetals
• A comprehensive review on topological superconducting materials and interfaces
• Nonsymmorphic Weyl superconductivity in UPt_3 based on E_2u representation
• Superconductivity in Type-II Weyl Semimetals
• Proximity-Induced Superconductivity with Subgap Anomaly in Type II Weyl Semi-Metal WTe2
• Patterns of Electro-magnetic Response in Topological Semi-metals
• Weyl nodes in Andreev spectra of multiterminal Josephson junctions: Chern numbers, conductances and supercurrents
• Topological Weyl Superconductor to Diffusive Thermal Hall Metal Crossover in the B-Phase of UPt${}_3$
• Specular Andreev Reflection in Inversion-symmetric Weyl-semimetals
• Atomic limit and inversion-symmetry indicators for topological superconductors
• Proximity induced superconductivity in Weyl semi-metals
• Superconducting proximity effect and Majorana flat bands in the surface of a Weyl semimetal
• Unconventional superconducting gap structure protected by space group symmetry
• Three-Dimensional Majorana Fermions in Chiral Superconductors
• Superconducting Arcs
• Superconductivity in doped inversion-symmetric Weyl semimetals
• Weyl semimetals and superconductors designed in an orbital selective superlattice
• The Realization and Dectection of Weyl Semimetals and Chiral Anomaly in Cold Atomic Systems
• Crystalline symmetry protected helical Majorana modes in the iron pnictides
• Quasi 1D topological nodal vortex line phase in doped superconducting 3D Dirac Semimetals
• Classification of topological crystalline superconducting nodes on high-symmetry lines: Point nodes, line nodes, and Bogoliubov Fermi surfaces
• Chirality-dependent planar Hall effect in inhomogeneous Weyl semimetals
• Double Andreev Reflections in Type-II Weyl Semimetal-Superconductor Junctions
• Fractional topological phases in three-dimensional coupled-wire systems
• Chirality blockade of Andreev reflection in a magnetic Weyl semimetal
• Weyl Superfluidity in a Three-dimensional Dipolar Fermi Gas
• Topological Fermi arcs in superfluid ${}^3$He
• Josephson effect in a Weyl SNS junction
• Surface superconductivity in the topological Weyl semimetal t-PtBi${}_2$
• Experimental Progress on Layered Topological Semimetals
• Fractional Quantum Hall Effect in Weyl Semimetals
• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Helical Spin Order from Topological Dirac and Weyl Semimetals
• Probing unconventional superconductivity in inversion symmetric doped Weyl semimetal
• Paramagnetically induced gapful topological superconductors
• Self-biased current, magnetic interference response, and superconducting vortices in tilted Weyl semimetals with disorder
• Planar Thermal Hall Effect in Weyl Semimetals
• Weyl Semimetal in the Strong Coulomb Interaction Limit
• Andreev Reflection in Weyl Semimetals
• Superconductivity-Induced Ferromagnetism and Weyl Superconductivity in Nb-doped Bi${}_2$Se${}_3$
• Holographic models for undoped Weyl semimetals
• Time-reversal and rotation symmetry breaking superconductivity in Dirac materials
• Line nodes and surface Majorana flat bands in static and kicked p-wave superconducting Harper model
• Transverse Shift in Andreev Reflection
• Irradiated three-dimensional Luttinger semimetal: A factory for engineering Weyl semimetals
• Kondo Signatures of a Quantum Magnetic Impurity in Topological Superconductors
• Josephson current signatures of the Majorana flat bands on the surface of time-reversal-invariant Weyl and Dirac semimetals
• Evolution of Pair Correlation Symmetries and Supercurrent Reversal in Tilted Weyl Semimetals
• Unquantized anomalies in topological semimetals
• Weyl-Majorana solenoid
• Superconductivity provides access to the chiral magnetic effect of an unpaired Weyl cone
• Cooper-pair transistor as a minimal topological quantum circuit
• Hybrid symmetry epitaxy of superconducting Fe(Te,Se) film on a topological insulator
• Negative thermal magnetoresistivity as a signature of chiral anomaly in Weyl superconductors
• Chirality Josephson current due to a novel quantum anomaly in inversion-asymmetric Weyl semimetals
• Observation of a bulk 3D Dirac multiplet, Lifshitz transition, and nestled spin states in Na3Bi
• Theory of the fractional quantum Hall effect in Weyl semimetals
• Quantum anomalies in superconducting Weyl metals
• Multifaceted properties of Andreev bound states: Interplay of symmetry and topology
• Charge/Spin Supercurrent and the Fulde-Ferrell State Induced by Crystal Deformation in Weyl/Dirac Superconductors
• Finite bulk Josephson currents and chirality blockade removal from inter-orbital pairing in magnetic Weyl semimetals
• Quantum phases of disordered three-dimensional Majorana-Weyl fermions
• Andreev reflection at the edge of a two-dimentional semimetal
• Realization of a double-slit SQUID geometry by Fermi arc surface states in a WTe${}_2$ Weyl semimetal
• Topological D+p-wave superconductivity in Rashba systems
• Lateral Josephson effect on the surface of Co${}_3$Sn${}_2$S${}_2$ magnetic Weyl semimetal
• Quantum oscillations and Dirac-Landau levels in Weyl superconductors
• Appearance of the universal value $e^2/h$ of the zero-bias conductance in a Weyl semimetal-superconductor junction
• Efficient method to compute ${\mathbb{Z}}_4$-indices with glide symmetry and applications to Möbius materials, $\mathrm{CeNiSn}$ and $\mathrm{UCoGe}$
• Higher-order Weyl superconductors with anisotropic Weyl-point connectivity
• Helical spin texture of surface states in topological superconductors
• Composite Weyl semimetal as a parent state for three dimensional topologically ordered phases
• Chiral Superconductivity in Thin Films of doped Bi${}_2$Se${}_3$
• Dirac-Fermion-Assisted Interfacial Superconductivity in Epitaxial Topological Insulator/Iron Chalcogenide Heterostructures
• Rashba Sandwiches with Topological Superconducting Phases
• Weyl Phases in Point-Group Symmetric Superconductors
• Topologically protected Landau level in the vortex lattice of a Weyl superconductor
• Nano-mosaic of Topological Dirac States on the Surface of Pb5Bi24Se41 Observed by Nano-ARPES
• Platform for nodal topological superconductors in monolayer molybdenum dichalcogenides
• Chiral flat band superconductivity from symmetry-protected three-band crossings
• Uncovering Weyl Fermions in the Quantum Limit of NbP
• Thermodynamics of 3D Kitaev quantum spin liquids via tensor networks
• Anomalous Hall effect in Weyl superconductors
• Probing Majorana Flat Bands in Nodal $d_{x^2-y^2}$-wave Superconductors with Rashba Spin-Orbit Coupling
• Monopole Charge Density Wave States in Weyl Semimetals
• Z${}_2$ nontrivial topology of rare-earth binary oxide superconductor
• Chiral-Flux-Phase-Based Topological Superconductivity in Kagome Systems with Mixed Edge Chiralities
• Torsional chiral magnetic effect due to skyrmion textures in a Weyl superfluid ${}^3$He-A
• Odd-frequency Berezinskii superconductivity in Dirac semimetals
• Searching for two-dimensional Weyl superconductors in heterostructures
• Prediction of Spin Polarized Fermi Arcs in Quasiparticle Interference of CeBi
• Weyl superconductor phases in a Weyl-semimetal/superconductor multilayer
• Thermodynamic transitions and topology of spin-triplet superconductivity: Application to UTe${}_2$
• Topological Anomalous Skin Effect in Weyl Superconductors
• Intertwined Weyl phases emergent from higher-order topology and unconventional Weyl fermions via crystalline symmetry
• Influence of a chiral chemical potential on Weyl hybrid junctions
• Engineering artificial topological phases via superlattices
• Topological Superconductivity in a two-dimensional Weyl SSH model
• Generic phase diagram for Weyl superconductivity in mirror-symmetric superconductors
• Finite-Momentum Instability of Dynamical Axion Insulator
• Inherited topological superconductivity in two-dimensional Dirac semimetals
• Phase transition with trivial quantum criticality in anisotropic Weyl semimetal
• Quasiparticles-mediated thermal diode effect in Weyl Josephson junctions
• On exotic sphere fibrations, topological phases, and edge states in physical systems
• Coupled Wire Models of Interacting Dirac Nodal Superconductors
• Pseudo field effects in type II Weyl semimetals: new probes for over tilted cones
• Resolving different pairing states in Weyl superconductors through the single-particle spectrum
• Larkin-Ovchinnikov state of superconducting Weyl metals: Fundamental differences between pairings restricted and extended in the $\text{k}$-space
• Topological order in interacting semimetals
• Generating Giant Spin Currents Using Nodal Topological Superconductors
• Topological Quantum Critical Points in Strong Coupling limits: Global Symmetries and Strongly Interacting Majorana Fermions
• Superconductivity from piezoelectric interactions in Weyl semimetals
• Spontaneous thermal Hall effect in three-dimensional chiral superconductors with gap nodes
• Antiferromagnetic spin fluctuations and superconductivity in NbRh${}_2$B${}_2$ and TaRh${}_2$B${}_2$ with a chiral crystal structure
• Weyl Nodal-Ring Semimetallic Behavior and Topological Superconductivity in Crystalline Forms of Su-Schrieffer-Heeger Chains
• Miniband engineering and topological phase transitions in topological - normal insulator superlattices
• Topological Quantum Criticality in Superfluids and Superconductors: Surface criticality, Thermal properties, and Lifshitz Majorana fields
• A numerically exact study of Weyl superconductivity
• Topological gapless points in superconductors: From the viewpoint of symmetry
• Fractionalized Metals and Superconductors in Three Dimensions
• Edge and corner superconductivity in a 2D topological model
• Thermoelectric properties of inversion symmetry broken Weyl semimetal-Weyl superconductor hybrid junctions
• Linking structures of doubly charged nodal surfaces in centrosymmetric superconductors
• Monopole versus spherical harmonic superconductors: Topological repulsion, coexistence and stability
• Inter-node superconductivity in strained Weyl semimetals
• Anatomy of a periodically driven p-wave superconductor
• Observation of Fermi Arc Surface States in a Topological Metal: A New Type of 2D Electron Gas beyond Z2 Topological Insulators
• Magnetic Switching in Weyl Semimetal-Superconductor Heterostructures
• Spin-orbit-coupled superconductivity with spin-singlet non-unitary pairing
• Crystal-symmetry-protected gapless vortex-line phases in superconducting Dirac semimetals
• Nonlinear optical responses in superconductors under magnetic fields: quantum geometry and topological superconductivity
• Tunneling chirality Hall effect in type-I Weyl semimetals
• Local Raman Spectroscopy of Chiral Majorana Edge Modes in Kitaev Spin Liquids and Topological Superconductors
• Higher-order topological superconductor phases in a multilayer system
• Nested Defects on the Boundary of Topological Superconductors
• Phonon-limited carrier transport in the Weyl semimetal TaAs
• Effect of charge renormalization on electric and thermo-electric transport along the vortex lattice of a Weyl superconductor
• Supercurrent-Induced Weyl Superconductivity
• Weyl superconductivity and quasiperiodic Majorana arcs in quasicrystals
• Superconductivity in Weyl semimetals in a strong pseudomagnetic field
• Higher-order topological phases for time-reversal-symmetry breaking superconductivity in UTe${}_2$
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
• Unremovable linked nodal structures protected by crystalline symmetries in stacked bilayer graphene with Kekulé texture
• Interactions-disorder duality and critical phenomena in nodal semimetals, dilute gases and other systems
• Topological $d$-wave Superconductivity and Nodal Line-Arc Intersections in Weyl Semimetals
• Impurity bands, line-nodes, and anomalous thermal Hall effect in Weyl superconductors
• Generic Weyl phase in the vortex state of quasi-two-dimensional chiral superconductors
• Shot noise in NS junctions with Weyl superconductor
• Topological Fermi-arc-like surface states in Kramers nodal line metals
• Majorana Flat Bands in the Vortex Line of Superconducting Weyl Semimetals
• Landau levels and optical conductivity in the mixed state of a generic Weyl superconductor
• Visualizing superconductivity in an inversion-symmetry-broken doped Weyl semimetal
• Thermal response of the Nieh-Yan term
• Weyl nodes in periodic structures of superconductors and spin active materials
• Cooling of electrons via superconducting tunnel junctions and their arrays exhibiting nodal lines
• Superconductivity in multi-Weyl semimetals: Conditions for the coexistence of topological and conventional phases
• Phase Thermalization: from Fermi Liquid to Incoherent Metal
• Chiral charge transfer along magnetic field lines in a Weyl superconductor
• Nodal Line Topological Superfluid and Multiply Protected Majorana Fermi Arc in a Three-Dimensional Time-Reversal-Invariant Superfluid Model