Multipole superconductivity in nonsymmorphic Sr${}_2$IrO${}_4$

Abstract

Discoveries of marked similarities to high-$T_{\text{c}}$ cuprate superconductors point to the realization of superconductivity in the doped $J_{\text{eff}}=1/2$ Mott insulator Sr${}_2$IrO${}_4$. Contrary to the mother compound of cuprate superconductors, several stacking patterns of in-plane canted antiferromagnetic moments have been reported, which are distinguished by the ferromagnetic components as $-++-$, $++++$, and $-+-+$. In this paper, we clarify unconventional features of the superconductivity coexisting with $-++-$ and $-+-+$ structures. Combining the group theoretical analysis and numerical calculations for an effective $J_{\text{eff}}=1/2$ model, we show unusual superconducting gap structures in the $-++-$ state protected by nonsymmorphic magnetic space group symmetry. Furthermore, our calculation shows that the Fulde-Ferrell-Larkin-Ovchinnikov superconductivity is inevitably stabilized in the $-+-+$ state since the odd-parity magnetic $-+-+$ order makes the band structure asymmetric by cooperating with spin-orbit coupling. These unusual superconducting properties are signatures of magnetic multipole order in nonsymmorphic crystal.

14 pages (Main text: 6 pages; Supplemental Materials: 8 pages), 7 figures (Main text: 4 figures; Supplemental Materials: 3 figures)

References in corpus (24)

• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Twisted Hubbard Model for Sr2IrO4: Magnetism and Possible High Temperature Superconductivity
• Theory of spin-orbit coupling at LaAlO3/SrTiO3 interfaces and SrTiO3 surfaces
• Fermi Arcs in a Doped Pseudospin-1/2 Heisenberg Antiferromagnet
• New classes of topological crystalline insulators with unpinned surface Dirac cones
• Monte Carlo study of an unconventional superconducting phase in Ir-oxide J_{eff}=1/2 Mott insulators induced by carrier doping
• Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states
• Parity-breaking phases of spin-orbit-coupled metals with gyrotropic, ferroelectric and multipolar orders
• Evidence of Andreev bound states as a hallmark of the FFLO phase in $\kappa$-(BEDT-TTF)${}_2$Cu(NCS)${}_2$
• Toroidal order in metals without local inversion symmetry
• Odd-parity triplet superconductivity in multi-orbital materials with strong spin-orbit coupling: applications to doped Sr2IrO4
• Neutron scattering study of correlated phase behavior in Sr2IrO4
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Spontaneous Parity Breaking in Spin-Orbital Coupled Systems
• Spontaneous multipole ordering by local parity mixing
• Emergent Nodal Excitations due to the Coexistence of Superconductivity and Antiferromagnetism: Cases with and without Inversion Symmetry
• Topologically stable gapless phases in nonsymmorphic superconductors
• Exotic multi-gap structure in UPt${}_3$ unveiled by the first-priniciples analysis
• Symmetry protected line nodes in non-symmorphic magnetic space groups: Applications to UCoGe and UPd${}_2$Al${}_3$
• Electric Octupole Order in Bilayer Ruthenate Sr${}_3$Ru${}_2$O${}_7$
• Electric octupole order in bilayer Rashba system
• Modulated vortex states in Rashba non-centrosymmetric superconductors
• Nodal lines and nodal loops in non-symmorphic odd-parity superconductors

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