Spin-orbit coupling and electronic charge effects in Mott insulators

Abstract

We derive the effective charge- and current-density operators for the strong-coupling limit of a single-band Mott insulator in the presence of spin-orbit coupling and show that the spin-orbit contribution to the effective charge density leads to novel mechanisms for multiferroic behavior. In some sense, these mechanisms are the electronic counterpart of the ionic-based mechanisms, which have been proposed for explaining the electric polarization induced by spiral spin orderings. The new electronic mechanisms are illustrated by considering cycloidal and proper screw magnetic orderings on sawtooth and kagome lattices. As for the isotropic case, geometric frustration is crucial for achieving this purely electronic coupling between spin and charge degrees of freedom.

References in corpus (20)

• Spin current and magneto-electric effect in non-collinear magnets
• Ferroelectricity in spiral magnets
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Magnetically driven ferroelectric order in Ni${}_3$V${}_2$O${}_8$
• Ferroelectric polarization flop in a frustrated magnet MnWO${}_4$ induced by magnetic fields
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Spin-polarization coupling in multiferroic transition-metal oxides
• Electronic Orbital Currents and Polarization in Mott Insulators
• Magnetoelectric nature of skyrmions in a chiral magnetic insulator Cu2OSeO3
• Stability of spontaneous quantum Hall state in the Triangular Kondo-lattice model
• Electric Polarization Induced by a Proper Helical Magnetic Ordering in a Delafossite Multiferroic CuFe1-xAlxO2
• Magnetic-field induced competition of two multiferroic orders in a triangular-lattice helimagnet MnI2
• Skyrmion Dynamics in Multiferroic Insulator
• Exact Bond Ordered Ground State for the Transition Between the Band and the Mott Insulator
• Magnetic digital flop of ferroelectric domain with fixed spin chirality in a triangular lattice helimagnet
• The dimerized phase of ionic Hubbard models
• Field Induced Orbital Antiferromagnetism in Mott Insulators
• Unified Spin Order Theory via Gauge Landau-Lifshitz Equation
• Multiferroic behavior in trimerized Mott insulators
• Orbital Magnetism Induced by Heat Currents in Mott insulators

Cited by in corpus (12)

• Isolated Skyrmions in the $C{P}^2$ nonlinear $\sigma$-model with a Dzyaloshinskii-Moriya type interaction
• $\mathbb{C}{P}^2$ Skyrmion Crystals in an SU(3) Magnet with a Generalized Dzyaloshinskii-Moriya Interaction
• Interacting topological Dirac magnons
• Chiral magnetism: a geometric perspective
• Quantum field theory of topological spin dynamics
• U(1) symmetry of the spin-orbit coupled Hubbard model on the Kagome lattice
• Resonant inelastic x-ray scattering study of vector chiral ordered kagome antiferromagnet
• Emergent chiral symmetry in non-bipartite kagome and pyrochlore lattices with spin-orbit coupling
• Tuning bulk topological magnon properties with light-induced magnons
• Discrete time crystal made of topological edge magnons
• Remarks on Baby Skyrmion Lie-Algebraic Generalization
• Coupling of plasmons to the two-magnon continuum in antiferromagnets