Orbital Magnetic Field Effects in Mott Insulators with Strong Spin-Orbit Coupling

Abstract

We study the effect of a magnetic field on the low energy description of Mott insulators with strong spin-orbit (SO) coupling. In contrast to the standard case of the Hubbard model without SO coupling, we show that Peierls phases can modulate the magnetic exchange at leading order in the interaction. Our mechanism crucially depends on the existence of distinct exchange paths between neighboring magnetic ions enclosing a well-defined area. Thus it will generically be present in any solid state realisation of the Kitaev model and its extensions. We explicitly calculate the variation of the exchange constants of the so-called $JK\Gamma$ model as a function of the magnetic flux. We discuss experimental implications of our findings for various settings of candidate Kitaev spin liquids.

arXiv comment6 pages, 4 figures

References in corpus (52)

• Anyons in an exactly solved model and beyond
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• A toolbox for lattice spin models with polar molecules
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl${}_3$
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Rapidly Rotating Atomic Gases
• Models and Materials for Generalized Kitaev Magnetism
• A Field Guide to Spin Liquids
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales
• The monoclinic crystal structure of $\alpha$-RuCl${}_3$ and the zigzag antiferromagnetic ground state
• Magnetic order in $\alpha$-RuCl${}_3$: a honeycomb lattice quantum magnet with strong spin-orbit coupling
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Orbital order and fluctuations in Mott insulators
• Hyper-honeycomb iridate $\beta$-Li2IrO3 as a platform for Kitaev magnetism
• Evidence for a Field-induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Excitations in the field-induced quantum spin liquid state of alpha-RuCl3
• Pseudospin exchange interactions in d^7 cobalt compounds: Possible realization of the Kitaev model
• A new spin-anisotropic harmonic honeycomb iridate
• Crystal structure and magnetism in $\alpha$-RuCl3: an ab-initio study
• Realistic Rashba and Dressehaus spin-orbit coupling for neutral atoms
• Phase Diagram of $\alpha$-RuCl${}_3$ in an in-plane Magnetic Field
• Kitaev-Heisenberg Hamiltonian for High-Spin $d^7$ Mott Insulators
• Spin-Liquid phase of the Multiple-Spin Exchange Hamiltonian on the Triangular Lattice
• Large field-induced gap of Kitaev-Heisenberg paramagnons in $\alpha$-RuCl${}_3$
• Emergence of a Field-Driven U(1) Spin Liquid in the Kitaev Honeycomb Model
• Orbital magnetic field effects in spin liquid with spinon Fermi sea: Possible application to $\kappa$-(ET)${}_2$Cu${}_2$(CN)${}_3$
• Exotic quantum spin models in spin-orbit-coupled Mott insulators
• Effective spin model for the spin-liquid phase of the Hubbard model on the triangular lattice
• Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
• Dynamical and Topological Properties of the Kitaev Model in a [111] Magnetic Field
• Large-$U$ limit of a Hubbard model in a magnetic field: chiral spin interactions and paramagnetism
• Designing Kitaev spin liquids in metal-organic frameworks
• From Neel long-range order to spin-liquids in the multiple-spin exchange model
• Magnetic field induced intermediate quantum spin-liquid with a spinon Fermi surface
• Classical spin liquid instability driven by off-diagonal exchange in strong spin-orbit magnets
• Antiferromagnetic Kitaev Interaction in $f$-Electron Based Honeycomb Magnets
• Pressure-tuned magnetic interactions in honeycomb Kitaev materials
• Pressure-tuning of bond-directional exchange interactions and magnetic frustration in hyperhoneycomb iridate $\beta$-$\mathrm{L}{\mathrm{i}}_2\mathrm{Ir}{\mathrm{O}}_3$
• Neel order, ring exchange and charge fluctuations in the half-filled Hubbard model
• Kitaev honeycomb models in magnetic fields: Dynamical response and hidden symmetries
• Crystalline Kitaev spin liquids
• On the saw-tooth torque in anisotropic $j_{\mathrm{eff}}=1/2$ magnets: Application to $\alpha$-RuCl${}_3$
• Tuning topological orders by a conical magnetic field in the Kitaev model
• Field induced quantum spin liquid with spinon Fermi surfaces in the Kitaev model
• Magnetization beyond the Ising limit of Ho${}_2$Ti${}_2$O${}_7$

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• Non-Loudon-Fleury Raman scattering in spin-orbit coupled Mott insulators