Anomalous Josephson Hall effect in doped topological insulators with the nematic superconductivity

Abstract

We study the physics of the Josephson effect in nematic superconductors with $E_u$ odd parity in the Ginzburg-Landau approach. Two-component vector superconducting order parameter makes this effect rather unusual. We get that the Meissner kernel has off-diagonal components. We derive current-phase relations for different configurations of the junction, crystallographic axes of the sample, and nematicity direction. We show that an anomalous Josephson Hall effect can be observed in such a system without any magnetization. That is, for definite orientations of the junction and crystal axes, a component of the Josephson current along the junction is induced by the order parameter phase difference across the contact. We also calculate the magnetic field dependence of the maximum current through the junction. We find that the period of the Fraunhofer oscillations of the maximum Josephson current depends on the geometry of the junction, direction of the magnetic field, and nematicity vector.

arXiv comment11 pages, 6 figures

References in corpus (54)

• Anomalous Hall effect
• Superconductivity in CuxBi2Se3 and its implications for pairing in the undoped topological insulator
• Model Hamiltonian for Topological Insulators
• Odd-Parity Topological Superconductors: Theory and Application to Cu${}_x$Bi${}_2$Se${}_3$
• Topological Superconductivity in CuxBi2Se3
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Spin-Rotation Symmetry Breaking in the Superconducting State of CuxBi2Se3
• Edge modes, edge currents, and gauge invariance in $p_x+i{p}_y$ superfluids and superconductors
• Thermodynamic evidence for nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$
• Superconductivity with topological surface state in SrxBi2Se3
• Hybrid superconducting-magnetic memory device using competing order parameters
• Odd-parity topological superconductor with nematic order: Application to CuxBi2Se3
• Spontaneous Hall effect in chiral p-wave superconductor
• Rotational Symmetry Breaking in a Trigonal superconductor Nb-doped Bi2Se3
• Evolution of the fermi surface of a doped topological insulator with carrier concentration
• Odd-parity superconductors with two-component order parameters: nematic and chiral, full gap and Majorana node
• Nematic superconductivity in doped Bi2Se3 topological superconductors
• Unconventional superconductivity in CuxBi2Se3
• Vestigial nematic order and superconductivity in the doped topological insulator Cu${}_x$Bi${}_2$Se${}_3$
• Ginzburg-Landau Theory for a p-Wave Sr_2RuO_4 Superconductor: Vortex Core Structure and Extended London Theory
• Direct visualization of the nematic superconductivity in Cu${}_x$Bi${}_2$Se${}_3$
• Identification of nematic superconductivity from the upper critical field
• Structural distortion behind the nematic superconductivity in Sr${}_x$Bi${}_2$Se${}_3$
• Spontaneous currents in superconducting systems with strong spin-orbit coupling
• Nematic Skyrmions in Odd-Parity Superconductors
• Uniaxial-strain Control of Nematic Superconductivity in Sr${}_x$Bi${}_2$Se${}_3$
• Direction and symmetry transition of the vector order parameter in topological superconductors Cu${}_x$Bi${}_2$Se${}_3$
• Superconductivity-Induced Ferromagnetism and Weyl Superconductivity in Nb-doped Bi${}_2$Se${}_3$
• Time-reversal and rotation symmetry breaking superconductivity in Dirac materials
• Odd-frequency superconductivity and Meissner effect in the doped topological insulator Bi${}_2$Se${}_3$
• Strain-driven nematicity of the odd-parity superconductivity in Sr${}_x$Bi${}_2$Se${}_3$
• Chiral Higgs Mode in Nematic Superconductors
• Direct Evidence for Time-Reversal Symmetry Breaking in Topological Superconductor Sr0.1Bi2Se3
• 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${}_3$
• Andreev Reflection Spectroscopy of Topological Superconductor Candidate Nb${}_x$Bi${}_2$Se${}_3$
• Giant Forward Scattering Asymmetry and Anomalous Tunnel Hall effect at Spin-Orbit-and Exchange-Split Interfaces
• Chiral Superconductivity in Thin Films of doped Bi${}_2$Se${}_3$
• Majorana Kramers pair in a nematic vortex
• Anomalous Josephson Hall effect charge and transverse spin currents in superconductor/ferromagnetic insulator/superconductor junctions
• Josephson effect in two-band superconductors
• 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
• Nematic superconductivity in topological insulators induced by hexagonal warping
• Planar Josephson Hall effect in topological Josephson junctions
• Spontaneous strain and magnetization in doped topological insulators with nematic and chiral superconductivity
• Lifshitz transition in dirty nematic superconductor
• Anomalous Josephson Hall effect in magnet/triplet superconductor junctions
• Quasiparticle interference in doped topological insulators with nematic superconductivity
• Breaking of Ginzburg-Landau description in the temperature dependence of the anisotropy in the nematic superconductor
• Derivation of a Ginzburg-Landau free energy density containing mixed gradient terms of a $p+ip$ superconductor with spin-orbit coupling
• Pauli paramagnetism of triplet Cooper pairs in a nematic superconductor
• Strain induced spin vortex and Majorana Kramer's pairs in doped topological insulators with nematic superconductivity
• AC anomalous Hall effect in topological insulator Josephson junctions