Unveiling Magnetic Interactions of Ruthenium Trichloride via Constraining Direction of Orbital moments: Potential Routes to Realize Quantum Spin Liquid

TL;DR

This paper introduces a new theoretical scheme to analyze magnetic interactions in lpha-RuCl3, revealing key interactions that stabilize or suppress the Kitaev quantum spin liquid state, guiding future experimental efforts.

Contribution

A novel scheme to calculate magnetic interactions with constrained orbital moments, leading to a minimal model for lpha-RuCl3 that explains its magnetic order and potential for realizing a quantum spin liquid.

Findings

Third nearest neighbor J3 stabilizes zigzag order.

Symmetric off-diagonal exchange  influences magnetic moment direction and spin gap.

Suppressing  and J3 may realize the Kitaev quantum spin liquid.

Abstract

Recent experiments reveal that the honeycomb ruthenium trichloride {\alpha}-RuCl3 is a prime candidate of the Kitaev quantum spin liquid (QSL). However, there is no theoretical model which can properly describe its experimental dynamical response, due to the lack of a full understanding of its magnetic interactions. Here, we propose a general scheme to calculate the magnetic interactions in systems (e.g., {\alpha}-RuCl3) with non-negligible orbital moments by constraining the directions of orbital moments. With this scheme, we put forward a minimal J1-K1-{\Gamma}1-J3-K3 model for {\alpha}-RuCl3 and find that: (I) The third nearest neighbor (NN) antiferromagnetic Heisenberg interaction J3 stabilizes the zigzag antiferromagnetic order; (II) The NN symmetric off-diagonal exchange {\Gamma}1 plays a pivotal role in determining the preferred direction of magnetic moments and generating the spin wave gap. Exact diagonalization study on this model shows that the Kitaev QSL can be realized by suppressing the NN symmetric off-diagonal exchange {\Gamma}1 and the third NN Heisenberg interaction J3. Thus, we not only propose a powerful general scheme for investigating the intriguing magnetism of Jeff=1/2 magnets, but also point out future directions for realizing the Kitaev QSL in the honeycomb ruthenium trichloride {\alpha}-RuCl3.