Odd-parity multipole fluctuation and unconventional superconductivity in locally noncentrosymmetric crystal

Abstract

A microscopic calculation and symmetry argument reveal superconductivity in the vicinity of parity-violating magnetic order. An augmented cluster magnetic multipole order in a crystal lacking local space inversion parity may break global inversion symmetry, and then, it is classified into an odd-parity multipole order. We investigate unconventional superconductivity induced by an odd-parity magnetic multipole fluctuation in a two-dimensional two-sublattice Hubbard model motivated by Sr${}_2$IrO${}_4$. We find that even-parity superconductivity is more significantly suppressed by a spin-orbit coupling than that in a globally noncentrosymmetric system. Consequently, two odd-parity superconducting states are stabilized by magnetic multipole fluctuations in a large spin-orbit coupling region. Both of them are identified as $Z_2$ topological superconducting states. The obtained gap function of inter-sublattice pairing shows a gapped/nodal structure protected by nonsymmorphic symmetry. Our finding implies a new family of odd-parity topological superconductors. Candidate materials are discussed.

arXiv comment13 pages, 8 figures, 5 tables

References in corpus (84)

• Unconventional pairing originating from disconnected Fermi surfaces in superconducting LaFeAsO${}_{1-x}$F${}_x$}
• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• Electrical switching of an antiferromagnet
• Heavy fermion superconductivity and magnetic order in non-centrosymmetric $CeP{t}_{3}Si$
• Superconducting 2D system with lifted spin degeneracy: Mixed singlet-triplet state
• Superconductivty without inversion symmetry: MnSi versus CePt_3Si
• Superconductivity on the border of weak itinerant ferromagnetism in UCoGe
• Relativistic Neel-order fields induced by electrical current in antiferromagnets
• Fermi Arcs in a Doped Pseudospin-1/2 Heisenberg Antiferromagnet
• Observation of a $d$-wave gap in electron-doped Sr${}_2$IrO${}_4$
• Topological odd-parity superconductors
• Theory of Superconductivity in Strongly Correlated Electron Systems
• Superconductivity in the vicinity of antiferromagnetic order in CrAs
• A ferroelectric quantum phase transition inside the superconducting dome of Sr${}_{1-x}$Ca${}_x$TiO${}_{3-\delta }$
• Arrested Kondo effect and hidden order in URu_2Si_2
• Monte Carlo study of an unconventional superconducting phase in Ir-oxide J_{eff}=1/2 Mott insulators induced by carrier doping
• Topological superconductivity in bilayer Rashba system
• Quantum critical origin of the superconducting dome in SrTiO${}_3$
• Theoretical aspects of Andreev spectroscopy and tunneling spectroscopy in non-centrosymmetric superconductors: a topical review
• Evidence of an odd-parity hidden order in a spin-orbit coupled correlated iridate
• Nature of the Magnetic Order in BaMn2As2
• Pairing of j=3/2 fermions in half-Heusler superconductors
• Parity-breaking phases of spin-orbit-coupled metals with gyrotropic, ferroelectric and multipolar orders
• Extremely strong coupling superconductivity in artificial two-dimensional Kondo lattices
• Signature of high temperature superconductivity in electron doped Sr2IrO4
• Emergent Rank-5 'Nematic' Order in URu2Si2
• Toroidal order in metals without local inversion symmetry
• A parity-breaking electronic nematic phase transition in the spin-orbit coupled metal Cd${}_2$Re${}_2$O${}_7$
• Odd-parity superconductivity in the vicinity of inversion symmetry breaking in spin-orbit-coupled systems
• Odd-parity triplet superconductivity in multi-orbital materials with strong spin-orbit coupling: applications to doped Sr2IrO4
• Magnetic properties of superconductors with strong spin-orbit coupling
• Superconductivity of 2.2 K under Pressure in Helimagnet CrAs
• Magneto-Electric Effect in Three-dimensional Coupled Zigzag Chains
• Locally Non-centrosymmetric Superconductivity in Multilayer Systems
• Universality of pseudogap and emergent order in lightly doped Mott insulators
• Slaving of the magnetic moment canting to the correlated oxygen rotation in Sr2IrO4 revealed by X-ray resonant scattering
• Neutron scattering study of correlated phase behavior in Sr2IrO4
• Superconductivity and local non-centrosymmetricity in crystal lattices
• Pair-density wave states through spin-orbit coupling in multilayer superconductors
• Microscopic Description of Electric and Magnetic Toroidal Multipoles in Hybrid Orbitals
• Low Temperature Symmetry of Pyrochlore Oxide Cd2Re2O7
• Superconductivity and Magnetism in Non-centrosymmetric System: Application to CePt_3Si
• Magnetic hexadecapole order and magnetopiezoelectric metal in Ba${}_{1-x}$K${}_x$Mn${}_2$As${}_2$
• Dilute Magnetism and Spin-Orbital Percolation Effects in Rh-doped Sr2IrO4
• On the Hidden Order in URu${}_2$Si${}_2$ --- Antiferro Hexadecapole Order and its Consequences
• Nonsymmorphic Weyl superconductivity in UPt_3 based on E_2u representation
• Non-centrosymmetric Superconductivity and Antiferromagnetic Order: Microscopic discussion of CePt${}_3$Si
• Spontaneous Parity Breaking in Spin-Orbital Coupled Systems
• Spontaneous multipole ordering by local parity mixing
• Topological superconducting phases from inversion symmetry breaking order in spin-orbit-coupled systems
• Fermi liquid theory for heavy fermion superconductors without inversion symmetry : Magnetism and transport coefficients
• Manipulating magnetoelectric effect -- Essence learned from Co${}_4$Nb${}_2$O${}_9$
• Superconductivity in magnetic multipole states
• Topological Crystalline Superconductivity in Locally Non-centrosymmetric Multilayer Superconductors
• Emergent Nodal Excitations due to the Coexistence of Superconductivity and Antiferromagnetism: Cases with and without Inversion Symmetry
• Unconventional superconducting gap structure protected by space group symmetry
• Detection of an Unconventional Superconducting Phase in the Vicinity of the Strong First-Order Magnetic Transition in CrAs Using ^75As-Nuclear Quadrupole Resonance
• Emergent odd-parity multipoles and magnetoelectric effects on a diamond structure: implication to 5$d$ transition metal oxides $A$OsO${}_4$ ($A=$ K, Rb, and Cs)
• Topologically stable gapless phases in nonsymmorphic superconductors
• Classification of multipole superconductivity in multi-orbital systems and its implications
• Multipole superconductivity in nonsymmorphic Sr${}_2$IrO${}_4$
• Structural Phase Transition in the Superconducting Pyrochlore Oxide Cd2Re2O7
• Odd Parity and Line Nodes in Non-Symmorphic Superconductors
• Structural and Magnetic Phase Diagram of CrAs and its Relationship with Pressure-induced Superconductivity
• Exotic multi-gap structure in UPt${}_3$ unveiled by the first-priniciples analysis
• Quasilinear quantum magnetoresistance in pressure-induced nonsymmorphic superconductor CrAs
• Pressure dependence of the magnetic order in CrAs: a neutron diffraction investigation
• On the Thermodynamic Stability of Odd-Frequency Superconductors
• Complex-Stripe Phases Induced by Staggered Rashba Spin-Orbit Coupling
• Symmetry protected line nodes in non-symmorphic magnetic space groups: Applications to UCoGe and UPd${}_2$Al${}_3$
• Enhanced triplet superconductivity in noncentrosymmetric systems
• Triplet Cooper Pair Formation by Anomalous Spin Fluctuations in Non-centrosymmetric Superconductors
• Electric Octupole Order in Bilayer Ruthenate Sr${}_3$Ru${}_2$O${}_7$
• The second phase transition in the pyrochlore oxide Cd2Re2O7
• The nature of the tensor order in Cd2Re2O7
• Symmetry-protected line nodes and Majorana flat bands in nodal crystalline superconductors
• Odd Parity and Line Nodes in Heavy Fermion Superconductors
• Pairing state at an interface of Sr${}_2$RuO${}_4$: parity-mixing, restored time-reversal symmetry, and topological superconductivity
• Electric octupole order in bilayer Rashba system
• The magnetic ground state of Sr2IrO4 and implications for second-harmonic generation
• Fate of Majorana modes in ${\mathrm{CeCoIn}}_5$/${\mathrm{YbCoIn}}_5$ superlattices -a test bed for reduction of topological classification-
• Successive spatial symmetry breaking under high pressure in the spin-orbit-coupled metal Cd2Re2O7
• The interface between heavy fermions and normal electrons investigated by spatially-resolved nuclear magnetic resonance
• Evidence for triplet superconductivity near an antiferromagnetic instability in CrAs

Cited by in corpus (19)

• Chiral photocurrent in parity-violating magnet and enhanced response in topological antiferromagnet
• Periodic Anderson model for magnetism and superconductivity in UTe2
• Superconductivity and Local Inversion-Symmetry Breaking
• Skyrmion crystal and spiral phases in centrosymmetric bilayer magnets with staggered Dzyaloshinskii-Moriya interaction
• Multifarious skyrmion phases on a trilayer triangular lattice
• Superconductivity induced by fluctuations of momentum-based multipoles
• Spin-orbital-momentum locking under odd-parity magnetic quadrupole ordering
• Square skyrmion crystal in centrosymmetric systems with locally inversion-asymmetric layers
• Topological d-wave superconductivity in two dimensions
• Multiple odd-parity superconducting phases in bilayer transition metal dichalcogenides
• Spin texture in a bilayer high-temperature cuprate superconductor
• Odd-Parity Spin-Triplet Superconductivity in Centrosymmetric Antiferromagnetic Metals
• A ${\varphi }^6$ soliton with a long-range tail
• Hybrid skyrmion and anti-skyrmion phases in polar $C_{4v}$ systems
• Field-induced superconductivity mediated by odd-parity multipole fluctuation
• Uniform and Staggered electric axial moment in zigzag chain
• Momentum space imaging of locally noncentrosymmetric superconductors
• Spin and charge order in doped spin-orbit coupled Mott insulators
• Nonmagnetic Phase Transition in La${}_3$TiSb${}_5$ Observed in ${}^{121}$Sb Nuclear Quadrupole Resonance