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Quantum spin liquids (QSLs) form an extremely unusual magnetic state in whichthe spins are highly correlated and fluctuate coherently down to the lowesttemperatures, but without symmetry breaking and without the formation of anystatic long-range-ordered magnetism. Such intriguing phenomena are not only ofgreat fundamental relevance in themselves, but also hold the promise forquantum computing and quantum information. Among different types of QSLs, theexactly solvable Kitaev model is attracting much attention, with most proposedcandidate materials, e.g., RuCl$_3$ and Na$_2$IrO$_3$, having an effective$S$=1/2 spin value. Here, via extensive first-principle-based simulations, wereport the investigation of the Kitaev physics and possible Kitaev QSL state inepitaxially strained Cr-based monolayers, such as CrSiTe$_3$, that ratherpossess a $S$=3/2 spin value. Our study thus extends the playground of Kitaevphysics and QSLs to 3$d$ transition metal compounds.

Possible Kitaev Quantum Spin Liquid State in 2D Materials with S=3/2