Superconductivity of doped Weyl semimetals: finite-momentum pairing and electronic analogues of the 3He-A phase

Abstract

We study superconducting states of doped inversion-symmetric Weyl semimetals. Specifically, we consider a lattice model realizing a Weyl semimetal with an inversion symmetry and study the superconducting instability in the presence of a short-ranged attractive interaction. With a phonon-mediated attractive interaction, we find two competing states: a fully gapped finite-momentum (FFLO) pairing state and a nodal even-parity pairing state. We show that, in a BCS-type approximation, the finite-momentum pairing state is energetically favored over the usual even-parity paired state and is robust against weak disorder. Though energetically unfavorable, the even-parity pairing state provides an electronic analogue of the 3He-A phase in that the nodes of the even-parity state carry non-trivial winding numbers and therefore support a surface flat band. We briefly discuss other possible superconducting states that may be realized in Weyl semimetals.

9 pages, 2 tables, 2 figures. references are updated and the discussion on the half-qauntum and full-quantum vortices is added

References in corpus (8)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Theory of 2D superconductor with broken inversion symmetry
• Unconventional superconductivity on honeycomb lattice: the theory of Kekule order parameter
• Topological Weyl Semi-metal from a Lattice Model
• Flat band in the core of topological defects: bulk-vortex correspondence in topological superfluids with Fermi points

Cited by in corpus (73)

• Dirac materials
• Chiral anomaly and transport in Weyl metals
• Thermoelectric properties of Weyl and Dirac semimetals
• Weyl, Dirac and high-fold chiral fermions in topological quantum materials
• Topological surface states in nodal superconductors
• Rare region effects dominate weakly disordered 3D Dirac points
• Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
• Time-reversal invariant topological superconductivity in doped Weyl semimetals
• Crossed surface flat bands of Weyl semimetal superconductors
• Tip induced unconventional superconductivity on Weyl semimetal TaAs
• Anticorrelation between polar lattice instability and superconductivity in the Weyl semimetal candidate MoTe2
• Pair-density-wave and chiral superconductivity in twisted bilayer transition-metal-dichalcogenides
• Three-Dimensional Majorana Fermions in Chiral Superconductors
• Charge-$4e$ superconductivity from nematic superconductors in 2D and 3D
• Interplay between Pair Density Wave and a Nested Fermi Surface
• Superconductivity in type-II Weyl-semimetal WTe2 induced by a normal metal contact
• Pair-Density-Wave in the Strong Coupling Limit of the Holstein-Hubbard model
• Pair density wave order from electron repulsion
• Josephson effect in a Weyl SNS junction
• Surface superconductivity in the topological Weyl semimetal t-PtBi${}_2$
• Andreev Reflection in Weyl Semimetals
• Overscreened Kondo effect, (color) superconductivity and Shiba states in Dirac metals and quark matter
• Line nodes and surface Majorana flat bands in static and kicked p-wave superconducting Harper model
• Disorder Induced Phase Transitions of Type-II Weyl Semimetal
• Weak-Coupling Theory of Pair Density-Wave Instabilities in Transition Metal Dichalcogenides
• Unquantized anomalies in topological semimetals
• Topological phase transition between distinctWeyl semimetal states in MoTe2
• Topological Pair-Density-Wave Superconducting States
• Theory of the fractional quantum Hall effect in Weyl semimetals
• Josephson effect in type-I Weyl Semimetals
• Finite bulk Josephson currents and chirality blockade removal from inter-orbital pairing in magnetic Weyl semimetals
• Singlet, Triplet and Pair Density Wave Superconductivity in the Doped Triangular-Lattice Moiré System
• Appearance of the universal value $e^2/h$ of the zero-bias conductance in a Weyl semimetal-superconductor junction
• Higher-order Weyl superconductors with anisotropic Weyl-point connectivity
• Intrinsic superconducting diode effects in tilted Weyl and Dirac semimetals
• Antiferromagnetic transitions of Dirac fermions in three dimensions
• Interplay between singlet and triplet pairings in multi-band two-dimensional oxide superconductors
• Searching for two-dimensional Weyl superconductors in heterostructures
• Topological Anomalous Skin Effect in Weyl Superconductors
• Inherited topological superconductivity in two-dimensional Dirac semimetals
• Translation symmetry-enriched toric code insulator
• Quasiparticles-mediated thermal diode effect in Weyl Josephson junctions
• Pair-density-wave superconductivity: a microscopic model on 2D honeycomb lattice
• Interaction-induced phase transitions of type-II Weyl semimetals
• Topological Quantum Critical Points in Strong Coupling limits: Global Symmetries and Strongly Interacting Majorana Fermions
• Superconductivity from piezoelectric interactions in Weyl semimetals
• Larkin-Ovchinnikov state of superconducting Weyl metals: Fundamental differences between pairings restricted and extended in the $\text{k}$-space
• Topological order in interacting semimetals
• Phonon-mediated intrinsic topological superconductivity in Fermi arcs
• Berry-dipole Semimetals
• Weyl Nodal-Ring Semimetallic Behavior and Topological Superconductivity in Crystalline Forms of Su-Schrieffer-Heeger Chains
• Antiferromagnetic spin fluctuations and superconductivity in NbRh${}_2$B${}_2$ and TaRh${}_2$B${}_2$ with a chiral crystal structure
• Topological Quantum Criticality in Superfluids and Superconductors: Surface criticality, Thermal properties, and Lifshitz Majorana fields
• Thermoelectric properties of inversion symmetry broken Weyl semimetal-Weyl superconductor hybrid junctions
• Monopole versus spherical harmonic superconductors: Topological repulsion, coexistence and stability
• Phonon-limited carrier transport in the Weyl semimetal TaAs
• Massive photon propagator in the presence of axionic fluctuations
• Weyl Semimetal Made Ideal with a Crystal of Raman Light and Atoms
• Polar hairs of mixed-parity nodal superconductors in Rarita-Schwinger-Weyl metals
• Superconductivity in Weyl semimetals in a strong pseudomagnetic field
• Fast nuclear spin relaxation rates in tilted cone Weyl semimetals: Redshift factors from Korringa relation
• Hinge Majorana Flat Band in Type-II Dirac Semimetals
• Symmetries of Weyl Superconductors with Different Pairings
• Optical and Raman selection rules for odd-parity clean superconductors
• Superconductor Vortex Spectrum Including Fermi Arc States in Time-Reversal Symmetric Weyl Semimetals
• Interactions-disorder duality and critical phenomena in nodal semimetals, dilute gases and other systems
• Pair-density-wave phase of strongly interacting electrons on the triangular lattice: A variational Monte Carlo study
• Majorana Flat Bands in the Vortex Line of Superconducting Weyl Semimetals
• Magnetic Susceptibility of Dirac Fermions, Bi-Sb Alloys, Interacting Bloch Fermions, Dilute Nonmagnetic Alloys, and Kondo Alloys
• Superconductivity in multi-Weyl semimetals: Conditions for the coexistence of topological and conventional phases
• Spin-triplet pair density wave superconductors
• Visualizing superconductivity in an inversion-symmetry-broken doped Weyl semimetal
• Theory of Hofstadter Superconductors