Odd-parity superconductors with two-component order parameters: nematic and chiral, full gap and Majorana node

Abstract

Motivated by the recent experiment indicating that superconductivity in the doped topological insulator Cu${}_x$Bi${}_2$Se${}_3$ has an odd-parity pairing symmetry with rotational symmetry breaking, we study the general class of odd-parity superconductors with two-component order parameters in trigonal and hexagonal crystal systems. In the presence of strong spin-orbit interaction, we find two possible superconducting phases below $T_c$, a time-reversal-breaking (i.e., chiral) phase and an anisotropic (i.e., nematic) phase, and determine their relative energetics from the gap function in momentum space. The nematic superconductor generally has a full quasi-particle gap, whereas the chiral superconductor with a three-dimensional (3D) Fermi surface has point nodes with lifted spin degeneracy, resulting in itinerant Majorana fermions in the bulk and topological Majorana arcs on the surface.

4+ pages, 2 figures; 20 pages suppl mat + 4 figures; published version

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Cited by in corpus (85)

• Intertwined vestigial order in quantum materials: nematicity and beyond
• Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene
• Nematic superconductivity in twisted bilayer graphene
• Nematic superconductivity in doped Bi2Se3 topological superconductors
• Nematic superconductivity stabilized by density wave fluctuations: Possible application to twisted bilayer graphene
• Pairing states of spin-3/2 fermions: Symmetry-enforced topological gap functions
• Vestigial nematic order and superconductivity in the doped topological insulator Cu${}_x$Bi${}_2$Se${}_3$
• Spin-Triplet Superconductivity in K2Cr3As3
• Direct visualization of the nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$
• Charge-$4e$ superconductivity from multi-component nematic pairing: Application to twisted bilayer graphene
• Structural distortion behind the nematic superconductivity in Sr${}_x$Bi${}_2$Se${}_3$
• Robust odd-parity superconductivity in the doped topological insulator Nb${}_x$Bi${}_2$Se${}_3$
• Nematic Skyrmions in Odd-Parity Superconductors
• Unconventional superconducting gap structure protected by space group symmetry
• Three-Dimensional Majorana Fermions in Chiral Superconductors
• Spin-orbit-parity coupled superconductivity in topological monolayer WTe${}_2$
• Topological phase transitions in multi-component superconductors
• Classification of topological crystalline superconducting nodes on high-symmetry lines: Point nodes, line nodes, and Bogoliubov Fermi surfaces
• Charge-$4e$ superconductivity from nematic superconductors in 2D and 3D
• Evidence for nematic superconductivity of topological surface states in PbTaSe2
• Nematic and chiral superconductivity induced by odd-parity fluctuations
• Mechanism of antisymmetric spin polarization in centrosymmetric multiple-$Q$ magnets based on bilinear and biquadratic spin cross products
• Direction and symmetry transition of the vector order parameter in topological superconductors Cu${}_x$Bi${}_2$Se${}_3$
• Global phase diagram of a three dimensional dirty topological superconductor
• Possible three-dimensional nematic odd-parity superconductivity in Sr${}_2$RuO${}_4$
• Superconductivity-Induced Ferromagnetism and Weyl Superconductivity in Nb-doped Bi${}_2$Se${}_3$
• Superconductivity near a ferroelectric quantum critical point in ultralow-density Dirac materials
• Time-reversal and rotation symmetry breaking superconductivity in Dirac materials
• Noncrystalline topological superconductors
• Topology and symmetry of surface Majorana arcs in cyclic superconductors
• Half-magnetization plateau in a Heisenberg antiferromagnet on a triangular lattice
• ${}^3{P}_2$ Superfluids Are Topological
• Chiral Higgs Mode in Nematic Superconductors
• Evidence for singular-phonon-induced nematic superconductivity in a topological superconductor candidate Sr${}_{0.1}$Bi${}_2$Se${}_3$
• Theory of superconductivity mediated by Rashba coupling in incipient ferroelectrics
• Time-reversal invariant and fully gapped unconventional superconducting state in the bulk of the topological Nb0.25Bi2Se3
• Link between superconductivity and a Lifshitz transition in intercalated Bi${}_2$Se${}_3$
• Quantum oscillations and Dirac-Landau levels in Weyl superconductors
• Origin of the anomalous Hall effect in two-band chiral superconductors
• Topological superconductivity in the extended Kitaev-Heisenberg model
• Majorana Zero-Modes in a Two-Dimensional $p$-Wave Superconductor
• Majorana Kramers pair in a nematic vortex
• Cascade of vestigial orders in two-component superconductors: nematic, ferromagnetic, s-wave charge-4e, and d-wave charge-4e states
• Chiral Superconductivity in Thin Films of doped Bi${}_2$Se${}_3$
• Nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$: The surface Andreev bound states
• Signatures of Nematic Superconductivity in Doped Bi${}_2$Se${}_3$ under Applied Stress
• Muon spin rotation study of the topological superconductor SrxBi2Se3
• Nematic superconductivity in the topological semimetal CaSn${}_3$
• Chiral flat band superconductivity from symmetry-protected three-band crossings
• Half Quantum Vortices in Nematic Superconductor
• Linear optical response from the odd parity Bardasis-Schrieffer mode in locally non-centrosymmetric superconductors
• Antichiral and nematicity-wave superconductivity
• The effect of interorbital scattering on superconductivity in doped Dirac materials
• Quasiperiodic criticality and spin-triplet superconductivity in superconductor-antiferromagnet moire patterns
• Time-reversal-invariant topological superconductivity
• Symmetries, Length Scales, Magnetic Response and Skyrmion Chains in Nematic Superconductors
• Magnetic response of nematic superconductors: skyrmion stripes and their signatures in muon spin relaxation experiments
• Phonon-induced rotation of the electronic nematic director in superconducting Bi${}_2$Se${}_3$
• Coupled Wire Models of Interacting Dirac Nodal Superconductors
• The absence of Ginzburg-Landau mechanism for vestigial order in the normal phase above a two-component superconductor
• Vector-boson condensates, spin-triplet superfluidity of paired neutral and charged fermions, and $3P_2$ pairing of nucleons
• Topological gapless points in superconductors: From the viewpoint of symmetry
• An increase in $T_c$ under hydrostatic pressure in the superconducting doped topological insulator Nb${}_{0.25}$Bi${}_2$Se${}_3$
• Magnetic tilting and emergent Majorana spin connection in topological superconductors
• Anisotropic Upper Critical Field, Seebeck and Nernst Coefficient in Nb0.20Bi2Se3 Topological Superconductor
• Pressure Engineering of the Dirac Fermions in Quasi-One-Dimensional Tl${}_2$Mo${}_6$Se${}_6$
• Hybrid skyrmion and anti-skyrmion phases in polar $C_{4v}$ systems
• Chiral superconductivity from spin polarized Chern band in twisted MoTe${}_2$
• Erasable superconductivity in topological insulator Bi2Se3 induced by voltage pulse
• Pauli paramagnetism of triplet Cooper pairs in a nematic superconductor
• Manipulating the nematic director by magnetic fields in the spin-triplet superconducting state of CuxBi2Se3
• Model non-Hermitian topological operators without skin effect: A general principle of construction
• Strain induced spin vortex and Majorana Kramer's pairs in doped topological insulators with nematic superconductivity
• Pseudospin bases for a model of Cu:Bi${}_2$Se${}_3$
• Uniform and Staggered electric axial moment in zigzag chain
• Signatures of surface Majorana modes in the magnetic response of topological superconductors
• Spontaneous Lattice Distortion in the Spin-Triplet Superconductor Cu${}_x$Bi${}_2$Se${}_3$
• Possible two-component pairings in electron-doped Bi${}_2$Se${}_3$ based on a tight-binding model
• Rotating Majorana Zero Modes in a disk geometry
• Anomalous Josephson Hall effect in doped topological insulators with the nematic superconductivity
• Superconductivity in three-dimensional interacting doped topological insulators
• Unconventional superconductivity from electronic dipole fluctuations
• Surface chiral superconductivity in odd-parity nematic superconductors with magnetic impurities
• Theory of Topological Superconductivity in Doped IV-VI Semiconductors
• Pair-mixing induced Time-reversal-breaking superconductivity