Electric-field control of magnetic anisotropies: applications to Kitaev spin liquids and topological spin textures

Abstract

Magnetic anisotropies often originate from the spin-orbit coupling and determine magnetic ordering patterns. We develop a microscopic theory for DC electric-field controls of magnetic anisotropies in magnetic Mott insulators and discuss its applications to Kitaev materials and topological spin textures. Throughout this paper, we take a microscopic approach based on Hubbard-like lattice models, tight-binding models with on-site interactions. We derive a low-energy spin Hamiltonian from a fourth-order perturbation expansion of the Hubbard-like model. We show in the presence of a strong intra-atomic spin-orbit coupling that DC electric fields add non-Kitaev interactions such as a Dzyaloshinskii-Moriya interaction and an off-diagonal ${\Gamma }^{\prime }$ interaction to the Kitaev-Heisenberg model and can induce a topological quantum phase transition between Majorana Chern insulating phases. We also investigate the inter-atomic Rashba spin-orbit coupling and its effects on topological spin textures. DC electric fields turn out to create and annihilate magnetic skyrmions, hedgehogs, and chiral solitons. We propose several methods of creating topological spin textures with external electromagnetic fields. Our theory clarifies that the strong but feasible electric field can control Kitaev spin liquids and topological spin textures.

References in corpus (23)

• Non-Abelian Anyons and Topological Quantum Computation
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Spin current and magneto-electric effect in non-collinear magnets
• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Interface-driven topological Hall effect in SrRuO${}_3$-SrIrO${}_3$ bilayer
• Exact results for spin dynamics and fractionization in the Kitaev Model
• Pseudospin exchange interactions in d^7 cobalt compounds: Possible realization of the Kitaev model
• Nonlinear light-matter interaction at terahertz frequencies
• Néel-type skyrmion lattice in tetragonal polar magnet VOSe${}_2$O${}_5$
• Microscopic mechanism for higher-spin Kitaev model
• Spin-orbit-entangled electronic phases in 4$d$ and 5$d$ transition-metal compounds
• Reduced Coercive Field in Epitaxial Thin Film of Ferroelectric Wurtzite Al0.7Sc0.3N
• Proximate ferromagnetic state in the Kitaev model material $\alpha$-RuCl${}_3$
• Impact of off-diagonal exchange interactions on the Kitaev spin liquid state of $\alpha$-RuCl${}_3$
• Strain and electric-field control of spin-spin interactions in monolayer CrI${}_3$
• Writing and deleting skyrmions with electric fields in a multiferroic heterostructure
• Linear and Nonlinear Optical Responses in Kitaev Spin Liquids
• Spin moiré engineering of topological magnetism and emergent electromagnetic fields
• A Poor Man's Derivation of Quantum Compass-Heisenberg Interaction: Superexchange Interaction in J-J Coupling Scheme
• Control of superexchange interactions with DC electric fields

Cited by in corpus (7)

• Electric field control of a quantum spin liquid in weak Mott insulators
• Emergent SU(2)${}_1$ conformal symmetry in the spin-1/2 Kitaev-Gamma chain with a Dzyaloshinskii-Moriya interaction
• Nonreciprocal heat transport in the Kitaev chiral spin liquid
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Skyrmion generation via Laguerre-Gaussian beam irradiation in frustrated magnets
• Tuning the Chern number of Kitaev quantum spin liquid
• Topological phase transitions by time-dependent electromagnetic fields in frustrated magnets: Role of dynamical and static magnetic fields