Computational exploration of a viable route to Kitaev-quantum spin liquid phase in OsCl$_3$

In this computational study, we explore a viable route to access the Kitaev-Quantum Spin Liquid (QSL) state in a so-called spin-orbit assisted Mott insulator OsCl$_3$. QSL state is stabilized in a substantial part of the Hubbard $U$--Hund's $J_\text{H}$ space of the quantum phase diagram obtained by combining second-order perturbation and pseudo-Fermion renormalization group calculations. Considering monolayer of recently synthesized OsCl$_3$ as a case study, we show that for small $J_\text{H}$/$U$, only Kitaev interaction appears, albeit of smaller magnitude. Depending upon the nature of magnetic interactions, the phase diagram also hosts other magnetic phases as well in different regions. Negligibly small farther neighbor interactions appears as a distinct feature of monolayer OsCl$_3$. Insights from our study may be helpful in designing experiments on pertinent Kitaev-QSL candidate materials.