Odd-parity topological superconductor with nematic order: Application to CuxBi2Se3

Abstract

CuxBi2Se3 was recently proposed as a promising candidate for time-reversal-invariant topological superconductors[1]. In this work, we argue that the unusual anisotropy of the Knight shift observed by Zheng[2], taken together with specific heat measurements, provides strong support for an unconventional odd-parity pairing in the two-dimensional E_u representation of the D3d crystal point group[1], which spontaneously breaks the three-fold rotational symmetry of the crystal, leading to a subsidiary nematic order. We predict that the spin-orbit interaction associated with hexagonal warping plays a crucial role in pinning the two-component order parameter and makes the superconducting state fully-gapped, leading to a topological superconductor. Experimental signatures of the E_u pairing related to the nematic order are discussed.

accepted by Phys. Rev. B Rapid Communication

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Cited by in corpus (31)

• Bogoliubov Fermi surfaces in superconductors with broken time-reversal symmetry
• Nematic superconductivity in doped Bi2Se3 topological superconductors
• Unconventional superconductivity in bilayer transition metal dichalcogenides
• Evidence of nodes in the order parameter of the superconducting doped topological insulator Nb${}_x$Bi${}_2$Se${}_3$ via penetration depth measurements
• Exploring Topological Superconductivity in Topological Materials
• Identification of superconducting pairing symmetry in twisted bilayer graphene using in-plane magnetic field and strain
• Quasi-particle evidence for the nematic state above $T_{\mathrm{c}}$ in Sr${}_x$Bi${}_2$Se${}_3$
• Superconducting doped topological materials
• High-pressure study of the basal-plane anisotropy of the upper critical field of the topological superconductor SrxBi2Se3
• Dependence of superconductivity in CuxBi2Se3 on quenching conditions
• Nematic and chiral superconductivity induced by odd-parity fluctuations
• Direction and symmetry transition of the vector order parameter in topological superconductors Cu${}_x$Bi${}_2$Se${}_3$
• Superconductivity in spin-$3/2$ systems: symmetry classification, odd-frequency pairs, and Bogoliubov Fermi surfaces
• Non-fragile superconductivity with nodes in the superconducting topological insulator CuxBi2Se3: Zeeman orbital field and non-magnetic impurities
• Evidence for singular-phonon-induced nematic superconductivity in a topological superconductor candidate Sr${}_{0.1}$Bi${}_2$Se${}_3$
• Electronic multipoles and multiplet pairs induced from Pomeranchuk and Cooper instabilities of Bogoliubov Fermi surfaces
• Topological insulators in the NaCaBi family with large SOC gaps
• Strain-induced time reversal breaking and half quantum vortices near a putative superconducting tetra-critical point in Sr${}_2$RuO${}_4$
• Quantum oscillations and Dirac-Landau levels in Weyl superconductors
• Nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$: The surface Andreev bound states
• Topological superconductor in quasi-one-dimensional Tl2-xMo6Se6
• Signatures of Electronic Nematicity in (111) LaAlO${}_3$/SrTiO${}_3$ Interfaces
• Superconductivity in Cu-doped Bi${}_2$Se${}_3$ with potential disorder
• An increase in $T_c$ under hydrostatic pressure in the superconducting doped topological insulator Nb${}_{0.25}$Bi${}_2$Se${}_3$
• Andreev spectroscopy of Majorana states in topological superconductors with multipocket Fermi surfaces
• Pressure Engineering of the Dirac Fermions in Quasi-One-Dimensional Tl${}_2$Mo${}_6$Se${}_6$
• Nematic and time-reversal breaking superconductivities coexisting with quadrupole order in a ${\Gamma }_3$ system
• Manipulating the nematic director by magnetic fields in the spin-triplet superconducting state of CuxBi2Se3
• Introduction of Sr into Bi2Se3 thin films by molecular beam epitaxy
• Possible two-component pairings in electron-doped Bi${}_2$Se${}_3$ based on a tight-binding model
• Superconducting and normal-state anisotropy of the doped topological insulator Sr${}_{0.1}$Bi${}_2$Se${}_3$