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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 itsexperimental dynamical response, due to the lack of a full understanding of itsmagnetic interactions. Here, we propose a general scheme to calculate themagnetic interactions in systems (e.g., {\alpha}-RuCl3) with non-negligibleorbital moments by constraining the directions of orbital moments. With thisscheme, we put forward a minimal J1-K1-{\Gamma}1-J3-K3 model for {\alpha}-RuCl3and find that: (I) The third nearest neighbor (NN) antiferromagnetic Heisenberginteraction J3 stabilizes the zigzag antiferromagnetic order; (II) The NNsymmetric off-diagonal exchange {\Gamma}1 plays a pivotal role in determiningthe preferred direction of magnetic moments and generating the spin wave gap.Exact diagonalization study on this model shows that the Kitaev QSL can berealized by suppressing the NN symmetric off-diagonal exchange {\Gamma}1 andthe third NN Heisenberg interaction J3. Thus, we not only propose a powerfulgeneral scheme for investigating the intriguing magnetism of Jeff=1/2 magnets,but also point out future directions for realizing the Kitaev QSL in thehoneycomb ruthenium trichloride {\alpha}-RuCl3.

physical review. b./physical review. b

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