Novel chiral quantum spin liquids in Kitaev magnets

Abstract

Mott insulators under sufficiently strong spin-orbit coupling can display quantum spin liquid phases with topological order and fractional excitations. Quantum magnets with pure Kitaev spin exchange interactions can host a gapped quantum spin liquid with a single Majorana edge mode propagating in the counter-clockwise direction when a small positive magnetic field is applied. Here, we show how under a sufficiently strong positive magnetic field a topological transition into a gapped quantum spin liquid with two Majorana edge modes propagating in the clockwise direction occurs. The Dzyaloshinskii-Moriya interaction is found to turn the non-chiral Kitaev's gapless quantum spin liquid into a chiral one with equal Berry phases at the two Dirac points. Thermal Hall conductance experiments can provide evidence of the novel topologically gapped quantum spin liquid states predicted.

arXiv commentlast version, 4 pages, 4 figures + Supplemental material

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• Electric-field control of magnetic anisotropies: applications to Kitaev spin liquids and topological spin textures
• Majorana chiral spin liquid in Mott insulating cuprates
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• Emergent magnetic order in the antiferromagnetic Kitaev model with a [111] field
• Classical ${\mathbb{Z}}_2$ spin liquid on the generalized four-color Kitaev model
• Phonon Dynamics in the Chiral Kitaev Spin Liquid
• Chiral bosonic quantum spin liquid in the integer-spin Heisenberg-Kitaev model
• Simulation of chiral motion of excitation within the ground-state manifolds of neutral atoms
• Chiral spin liquid phase in an optical lattice at mean-field level
• Nonreciprocal heat transport in the Kitaev chiral spin liquid
• Anyon polarons as a window into competing phases of the Kitaev honeycomb model under a Zeeman field
• Electric polarization near vortices in the extended Kitaev model
• Nature of the Topological Transition of the Kitaev Model in [111] Magnetic Field