Time-reversal and rotation symmetry breaking superconductivity in Dirac materials

Abstract

We consider mixed symmetry superconducting phases in Dirac materials in the odd parity channel, where pseudoscalar and vector order parameters can coexist due to their similar critical temperatures when attractive interactions are of finite range. We show that the coupling of these order parameters to unordered magnetic dopants favors the condensation of novel time-reversal symmetry breaking (TRSB) phases, characterized by a condensate magnetization, rotation symmetry breaking, and simultaneous ordering of the dopant moments. We find a rich phase diagram of mixed TRSB phases characterized by peculiar bulk quasiparticles, with Weyl nodes and nodal lines, and distinctive surface states. These findings are consistent with recent experiments on Nb${}_x$Bi${}_2$Se${}_3$ that report evidence of point nodes, nematicity, and TRSB superconductivity induced by Nb magnetic moments.

11 pages, 2 figures

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Cited by in corpus (26)

• Nematic Skyrmions in Odd-Parity Superconductors
• Topological phase transitions in multi-component superconductors
• Nematic and chiral superconductivity induced by odd-parity fluctuations
• Superconductivity-Induced Ferromagnetism and Weyl Superconductivity in Nb-doped Bi${}_2$Se${}_3$
• Chiral Higgs Mode in Nematic Superconductors
• Evolution of magnetic Dirac bosons in a honeycomb lattice
• Direct Evidence for Time-Reversal Symmetry Breaking in Topological Superconductor Sr0.1Bi2Se3
• Pairing symmetry and topological surface state in iron-chalcogenide superconductors
• Andreev Reflection Spectroscopy of Topological Superconductor Candidate Nb${}_x$Bi${}_2$Se${}_3$
• Majorana Zero-Modes in a Two-Dimensional $p$-Wave Superconductor
• 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
• The effect of interorbital scattering on superconductivity in doped Dirac materials
• Generic phase diagram for Weyl superconductivity in mirror-symmetric superconductors
• Spontaneous magnetization in unitary superconductors with time reversal symmetry breaking
• Coupled Wire Models of Interacting Dirac Nodal Superconductors
• Surface states in Dirac metals and topological crystalline insulators
• Magnetic tilting and emergent Majorana spin connection in topological superconductors
• Spin-orbit-coupled superconductivity with spin-singlet non-unitary pairing
• Pauli paramagnetism of triplet Cooper pairs in a nematic superconductor
• Signatures of surface Majorana modes in the magnetic response of topological superconductors
• Superconducting and normal-state anisotropy of the doped topological insulator Sr${}_{0.1}$Bi${}_2$Se${}_3$
• Rotating Majorana Zero Modes in a disk geometry
• Possible two-component pairings in electron-doped Bi${}_2$Se${}_3$ based on a tight-binding model
• Surface chiral superconductivity in odd-parity nematic superconductors with magnetic impurities
• Anomalous Josephson Hall effect in doped topological insulators with the nematic superconductivity