Superconductivity in magnetic multipole states

Abstract

Stimulated by recent studies of superconductivity and magnetism with local and global broken inversion symmetry, we investigate the superconductivity in magnetic multipole states in locally noncentrosymmetric metals. We consider a one-dimensional zigzag chain with sublattice-dependent antisymmetric spin-orbit coupling and suppose three magnetic multipole orders: monopole order, dipole order, and quadrupole order. It is demonstrated that the Bardeen-Cooper-Schrieffer state, the pair-density wave (PDW) state, and the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state are stabilized by these multipole orders, respectively. We show that the PDW state is a topological superconducting state specified by the nontrivial ${\mathbb{Z}}_2$ number and winding number. The origin of the FFLO state without macroscopic magnetic moment is attributed to the asymmetric band structure induced by the magnetic quadrupole order and spin-orbit coupling.

13 pages, 9 figures

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• Magnetic hexadecapole order and magnetopiezoelectric metal in Ba${}_{1-x}$K${}_x$Mn${}_2$As${}_2$
• Nonlinear electric transport in odd-parity magnetic multipole systems: Application to Mn-based compounds
• Unified description of electronic orderings and cross correlations by complete multipole representation
• Odd-parity superconductivity in bilayer transition metal dichalcogenides
• Observation of antiferromagnetic order as odd-parity multipoles inside the superconducting phase in CeRh${}_2$As${}_2$
• Non-symmorphic symmetry and field-driven odd-parity pairing in CeRh${}_2$As${}_2$
• 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)
• Multipole superconductivity in nonsymmorphic Sr${}_2$IrO${}_4$
• Skyrmion crystal and spiral phases in centrosymmetric bilayer magnets with staggered Dzyaloshinskii-Moriya interaction
• Fulde-Ferrell-Larkin-Ovchinnikov state induced by antiferromagnetic order in $\kappa$-type organic conductors
• Anapole superconductivity from $\mathcal{P}\mathcal{T}$-symmetric mixed-parity interband pairing
• Even-odd parity transition in strongly correlated locally noncentrosymmetric superconductors : An application to CeRh${}_2$As${}_2$
• Odd-Parity Multipoles by Staggered Magnetic Dipole and Electric Quadrupole Orderings in CeCoSi
• Multifarious skyrmion phases on a trilayer triangular lattice
• Odd-parity multipole fluctuation and unconventional superconductivity in locally noncentrosymmetric crystal
• Electric octupole order in bilayer Rashba system
• Superconductivity induced by fluctuations of momentum-based multipoles
• Supercurrent-induced topological phase transitions
• Spin-orbital-momentum locking under odd-parity magnetic quadrupole ordering
• Square skyrmion crystal in centrosymmetric systems with locally inversion-asymmetric layers
• Optical Selection Rules in Spin-Orbit Coupled Systems on Honeycomb Lattice
• Correlation-induced Fermi surface evolution and topological crystalline superconductivity in CeRh2As2
• Kramers' degenerate magnetism and superconductivity
• Topological d-wave superconductivity in two dimensions
• Phase-modulated superconductivity via altermagnetism
• Magnetic parity violation and parity-time-reversal-symmetric magnets
• Appearance of $c$-axis magnetic moment in odd-parity antiferromagnetic state in CeRh${}_2$As${}_2$ revealed by ${}^{75}$As-NMR
• Field-induced superconductivity mediated by odd-parity multipole fluctuation
• Magnetoelectric Response in Electric Octupole State: Possible Hidden Order in Cuprate Superconductors
• Supercurrent-Induced Weyl Superconductivity
• Superconducting meron phase in locally noncentrosymmetric superconductors
• Efficient Method for Prediction of Meta-stable/Ground Multipolar Ordered States and its Application in Monolayer $\alpha$-\ce{RuX3} (X=Cl,I)
• Uniform and Staggered electric axial moment in zigzag chain
• Classification of multiorbital superconducting state based on augmented multipoles
• Engineering nonequilibrium superconducting phases in a voltage-driven superconductor under an external magnetic field
• Nonmagnetic Phase Transition in La${}_3$TiSb${}_5$ Observed in ${}^{121}$Sb Nuclear Quadrupole Resonance
• Quasiclassical theory of vortex states in locally non-centrosymmetric superconductors: application to CeRh${}_2$As${}_2$
• Effect of electromagnetic permeability on transition temperature of superconductivity