Emergent spin-valley-orbital physics by spontaneous parity breaking

Abstract

The spin-orbit coupling in the absence of spatial inversion symmetry plays an important role in realizing intriguing electronic states in solids, such as topological insulators and unconventional superconductivity. Usually, the inversion symmetry breaking is inherent in the lattice structures, and hence, it is not easy to control these interesting properties by external parameters. We here theoretically investigate the possibility of generating the spin-orbital entanglement by spontaneous electronic ordering caused by electron correlations. In particular, we focus on the centrosymmetric lattices with local asymmetry at the lattice sites, e.g., zig-zag, honeycomb, and diamond structures. In such systems, conventional staggered orders, such as charge order and antiferromagnetic order, break the inversion symmetry and activate the antisymmetric spin-orbit coupling, which is hidden in a sublattice-dependent form in the paramagnetic state. Considering a minimal two-orbital model on a honeycomb lattice, we scrutinize the explicit form of the antisymmetric spin-orbit coupling for all the possible staggered charge, spin, orbital, and spin-orbital orders. We show that the complete table is useful for understanding of spin-valley-orbital physics, such as spin and valley splitting in the electronic band structure and generalized magnetoelectric responses in not only spin but also orbital and spin-orbital channels, reflecting in peculiar magnetic, elastic, and optical properties in solids.

37 pages, 13 figures, 6 tables, accepted for publication in J. Phys.:Condens. Matter

References in corpus (16)

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• Titanic Magnetoresistance in WTe2
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• Electric Octupole Order in Bilayer Ruthenate Sr${}_3$Ru${}_2$O${}_7$
• Magnetoelectric effect due to local noncentrosymmetry
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Cited by in corpus (14)

• Complete Multipole Basis Set for Single-Centered Electron Systems
• Orbital Hall effect in bilayer transition metal dichalcogenides: From the intra-atomic approximation to the Bloch states orbital magnetic moment approach
• Manipulating magnetoelectric effect -- Essence learned from Co${}_4$Nb${}_2$O${}_9$
• 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)
• Skyrmion crystal and spiral phases in centrosymmetric bilayer magnets with staggered Dzyaloshinskii-Moriya interaction
• Symmetry Analysis of Spin-Dependent Electric Dipole and Its Application to Magnetoelectric Effects
• Mechanism of antisymmetric spin polarization in centrosymmetric multiple-$Q$ magnets based on bilinear and biquadratic spin cross products
• Odd-Parity Multipoles by Staggered Magnetic Dipole and Electric Quadrupole Orderings in CeCoSi
• Spin-orbital-momentum locking under odd-parity magnetic quadrupole ordering
• Optical Selection Rules in Spin-Orbit Coupled Systems on Honeycomb Lattice
• Ferroaxial moment induced by vortex spin texture
• Magnetic structures and electronic properties of cubic-pyrochlore ruthenates from first principles
• Magnetic Vortex induced by Nonmagnetic Impurity in Ferromagnets: Magnetic Multipole and Toroidal around the Vacancy
• Nonreciprocal magnon excitations by the Dzyaloshinskii-Moriya interaction on the basis of bond magnetic toroidal multipoles