S=3/2 Chiral Kitaev Spin Liquid induced by out-of-plane single ion anisotropy

The Kitaev honeycomb model (KHM) has a unique place in quantum magnetism due to its importance in the theory of quantum spin liquids, topological computation and material science. Routes to implement higher spin KHMs in solid-state platforms revived the interest in theoretical studies on this model's characterization for S>1/2, which do not possess an exact solution. In a previous work, we constructed a parton mean-field theory (PMFT) to unveil the ground state of the S=3/2 KHM that displayed a remarkable quantitative agreement with the results of DMRG simulations [1]. In this work, we propose a PMFT that includes the effects of an out-of-plane single ion anisotropy perturbation on the S=3/2 KHM [2]. We show how this anisotropy induces a flux-conserving three-spin-orbital interaction that induces an octupolar order corresponding to a form of orbital ferromagnetism. The onset of such an order also characterizes a chiral spin liquid (CSL) phase, which displays a half-integer thermal Hall conductivity peak. Possible implementations of this CSL on van der Waals monolayers are discussed by the end of the talk.