Spontaneous multipole ordering by local parity mixing

Abstract

Broken spatial inversion symmetry in spin-orbital coupled systems leads to a mixing between orbitals with different parity, which results in unusual electronic structures and transport properties. We theoretically investigate the possibility of multipole ordering induced by a parity mixing. In particular, we focus on the system in which the parity mixing appears in a sublattice-dependent form. Starting from the periodic Anderson model with such a local parity mixing, we derive an extended Kondo lattice model with sublattice-dependent antisymmetric exchange couplings between itinerant electrons and localized spins. By the variational calculation, simulated annealing, and Monte Carlo simulation, we show that the model on a quasi-one-dimensional zig-zag lattice exhibits an odd-parity multipole order composed of magnetic toroidal and quadrupole components at and near half filling. The multipole order causes a band deformation with the band bottom shift and a magnetoelectric response. The results suggest that unusual odd-parity multipole orders will be widely observed in multi-orbital systems with local parity mixing.

11 pages, 9 figures

References in corpus (32)

• Heavy fermion superconductivity and magnetic order in non-centrosymmetric $CeP{t}_{3}Si$
• Superconductivty without inversion symmetry: MnSi versus CePt_3Si
• Superconductivity on the border of weak itinerant ferromagnetism in UCoGe
• Phase Separation in Electronic Models for Manganites
• CePt3Si: an unconventional superconductor without inversion center
• YSix closely related YbT${}_2$Zn${}_{20}$ (T = Fe, Co, Ru, Rh, Os, Ir) heavy fermion compounds with large local moment degeneracy
• Kondo Effects and Multipolar Order in the cubic PrTr2Al20 (Tr=Ti, V)
• Quantum Criticality without Tuning in the Mixed Valence Compound beta-YbAlB4
• Heavy Fermion Superconductivity in the Quadrupole Ordered State of PrV2Al20
• Superconductivity in the Ferroquadrupolar State in the Quadrupolar Kondo Lattice PrTi${}_2$Al${}_{20}$
• Extremely Large and Anisotropic Upper Critical Field and the Ferromagnetic Instability in UCoGe
• Long-range magnetic order in CeRu2Al10 evidenced by muSR and neutron diffraction
• Toroidal order in metals without local inversion symmetry
• Magnetoelectric effects in heavy-fermion superconductors without inversion symmetry
• Magneto-Electric Effect in Three-dimensional Coupled Zigzag Chains
• Locally Non-centrosymmetric Superconductivity in Multilayer Systems
• Simultaneous Superconducting and Antiferroquadrupolar Transitions in PrRh${}_2$Zn${}_{20}$
• Unusual upper critical field of the ferromagnetic superconductor UCoGe
• Pair-density wave states through spin-orbit coupling in multilayer superconductors
• Superconductivity and Magnetism in Non-centrosymmetric System: Application to CePt_3Si
• Possible Long-Range Order with Singlet Ground State in CeRu2Al10
• Spontaneous Parity Breaking in Spin-Orbital Coupled Systems
• Emergent Nodal Excitations due to the Coexistence of Superconductivity and Antiferromagnetism: Cases with and without Inversion Symmetry
• Complex-Stripe Phases Induced by Staggered Rashba Spin-Orbit Coupling
• Electric Octupole Order in Bilayer Ruthenate Sr${}_3$Ru${}_2$O${}_7$
• Magnetization and Magnetoresistance of CeRu2Al10 under High Magnetic Fields along c-Axis
• Neutron scattering study of the long-range ordered state in CeRu2Al10
• Magnetoelectric effect due to local noncentrosymmetry
• Cation-ordered A${}_{1/2}^{\prime }$A${}_{1/2}^{\prime \prime }$B${}_2$X${}_4$ magnetic spinels as magnetoelectrics
• Toroidal order in a partially disordered state on a layered triangular lattice: implication to UNi4B
• Quantum spin Hall effect in a two-orbital model on a honeycomb lattice
• Carrier doping to a partially disordered state in the periodic Anderson model on a triangular lattice

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• Tunneling spin current in a system with spin degeneracy
• Cluster Toroidal Multipoles Formed by Electric-Quadrupole and Magnetic-Octupole Trimers: A Possible Scenario for Hidden Orders in Ca${}_5$Ir${}_3$O${}_{12}$
• Spin Conductivity Based on Magnetic Toroidal Quadrupole Hidden in Antiferromagnets
• NQR and NMR spectra in odd-parity multipole material CeCoSi
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• Nonreciprocal Transport in Noncoplanar Magnetic Systems without Spin-Orbit Coupling, Net Scalar Chirality, or Magnetization
• 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
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• Magnetic Toroidal Moment under Partial Magnetic Order in Hexagonal Zigzag-Chain Compound Ce${}_3$TiBi${}_5$
• Atomic-Scale Magnetic Toroidal Dipole under Odd-Parity Hybridization
• Analysis of photo-induced chirality and magnetic toroidal moment based on Floquet formalism
• Electron Correlation Effects in Non-Centrosymmetric Metals in the Weak Coupling Regime
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• Magnetoelectric Response in Electric Octupole State: Possible Hidden Order in Cuprate Superconductors
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• Uniform and Staggered electric axial moment in zigzag chain