Odd parity superconductivity in Weyl semimetals

Abstract

Unconventional superconducting states of matter are realized in the presence of strong spin orbit coupling. In particular, non degenerate bands can support odd parity superconductivity with rich topological content. Here we study whether this is the case for Weyl semimetals. These are systems whose low energy sector, in the absence of interactions, is described by linearly dispersing chiral fermions in three dimensions. The energy spectrum has nodes at an even number of points in the Brillouin zone. Consequently both intranodal finite momentum pairing and internodal BCS superconductivity are allowed. For local attractive interaction the finite momentum pairing state with chiral p-wave symmetry is found to be most favorable at finite chemical potential. The state is an analog of the superfluid ${}^3$He A phase, with cooper pairs having finite center of mass momentum. For chemical potential at the node the state is preempted by a fully gapped charge density wave. For long range attraction the BCS state wins out for all values of the chemical potential.

References in corpus (7)

• Topological response in Weyl semimetals and the chiral anomaly
• Axionic field theory of (3+1)-dimensional Weyl semi-metals
• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
• Weyl superconductors
• Superconductivity of doped Weyl semimetals: finite-momentum pairing and electronic analogues of the 3He-A phase
• Theory of 2D superconductor with broken inversion symmetry
• Excitonic Phases from Weyl Semi-Metals

Cited by in corpus (63)

• Superconductivity in Weyl Semimetal Candidate MoTe2
• Chiral anomaly and transport in Weyl metals
• Weyl Metals
• Line-Node Dirac Semimetal and Topological Insulating Phase in Noncentrosymmetric Pnictides CaAgX (X = P, As)
• Superconductivity in Weyl metals
• Time-reversal invariant topological superconductivity in doped Weyl semimetals
• Topological nodal Cooper pairing in doped Weyl metals
• Observation of an edge supercurrent in the Weyl superconductor MoTe${}_2$
• Inducing superconductivity in Weyl semi-metal microstructures by selective ion sputtering
• 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
• Surface Superconductivity in the type II Weyl Semimetal TaIrTe4
• Proximity-Induced Superconductivity with Subgap Anomaly in Type II Weyl Semi-Metal WTe2
• Three-Dimensional Majorana Fermions in Chiral Superconductors
• Superconductivity in doped inversion-symmetric Weyl semimetals
• Ideal Weyl semimetal with 3D spin-orbit coupled ultracold quantum gas
• Superconductivity in type-II Weyl-semimetal WTe2 induced by a normal metal contact
• Josephson effect in a Weyl SNS junction
• Surface superconductivity in the topological Weyl semimetal t-PtBi${}_2$
• Probing unconventional superconductivity in inversion symmetric doped Weyl semimetal
• Self-biased current, magnetic interference response, and superconducting vortices in tilted Weyl semimetals with disorder
• Andreev Reflection in Weyl Semimetals
• Long-range interaction induced phases in Weyl semimetals
• Non-Abelian Majorana modes protected by an emergent second Chern number
• Overscreened Kondo effect, (color) superconductivity and Shiba states in Dirac metals and quark matter
• Evolution of Pair Correlation Symmetries and Supercurrent Reversal in Tilted Weyl Semimetals
• Superconductivity Induced at a Point Contact on the Topological Semimetal Tungsten Carbide
• Superconductivity provides access to the chiral magnetic effect of an unpaired Weyl cone
• Topological phase transition between distinctWeyl semimetal states in MoTe2
• Induced superconductivity in Fermi arcs
• Andreev reflection at the edge of a two-dimentional semimetal
• Josephson effect in type-I Weyl Semimetals
• Finite bulk Josephson currents and chirality blockade removal from inter-orbital pairing in magnetic Weyl semimetals
• Realization of a double-slit SQUID geometry by Fermi arc surface states in a WTe${}_2$ Weyl semimetal
• Appearance of the universal value $e^2/h$ of the zero-bias conductance in a Weyl semimetal-superconductor junction
• Lateral Josephson effect on the surface of Co${}_3$Sn${}_2$S${}_2$ magnetic Weyl semimetal
• Excitonic instability in optically-pumped three-dimensional Dirac materials
• Monopole Charge Density Wave States in Weyl Semimetals
• Anomalous Hall effect in Weyl superconductors
• Antiferromagnetic transitions of Dirac fermions in three dimensions
• Odd-frequency Berezinskii superconductivity in Dirac semimetals
• Intrinsic superconducting diode effects in tilted Weyl and Dirac semimetals
• Pressure-induced creation and annihilation of Weyl points in Td- and 1T"-Mo0.5W0.5Te2
• Fulde-Ferrell States in Inverse Proximity Coupled Magnetically-Doped Topological Heterostructures
• Phase transition with trivial quantum criticality in anisotropic Weyl semimetal
• Pairing mechanism of unconventional superconductivity in doped Kane-Mele model
• 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
• Superconductivity from piezoelectric interactions in Weyl semimetals
• Phonon-mediated intrinsic topological superconductivity in Fermi arcs
• Inter-node superconductivity in strained Weyl semimetals
• Hybrid skyrmion and anti-skyrmion phases in polar $C_{4v}$ systems
• Spin density wave order in interacting type-I and type-II Weyl semimetals
• Massive photon propagator in the presence of axionic fluctuations
• Role of Hund's splitting in electronic phase competition in ${\mathrm{Pb}}_{1-x}{\mathrm{Sn}}_x\mathrm{Te}$
• Theory of phonon instabilities in Weyl semimetals at high magnetic fields
• Superconductivity in Weyl semimetals in a strong pseudomagnetic field
• 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
• Symmetries of Weyl Superconductors with Different Pairings
• Shot noise in NS junctions with Weyl superconductor
• Majorana Flat Bands in the Vortex Line of Superconducting Weyl Semimetals