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Kitaev materials are promising for realizing exotic quantum spin liquidphases, such as a non-Abelian chiral spin liquid. Motivated by recentexperiments in these materials, we theoretically study the novel field-inducedquantum phase transitions from the non-Abelian chiral spin liquid to thesymmetry-broken zigzag phase and to the trivial polarized state. Utilizing therecently developed dualities of gauge theories, we find these transitions canbe described by critical bosons or gapless fermions coupled to emergentnon-Abelian gauge fields, and the critical theories are of the type of aQCD$_3$-Chern-Simons theory. We propose that all these exotic quantum phasetransitions can potentially be direct and continuous in Kitaev materials, andwe present sound evidence for this proposal. Therefore, besides being systemswith intriguing quantum magnetism, Kitaev materials may also serve as table-topexperimental platforms to study the interesting dynamics of emergent stronglyinteracting quarks and gluons in $2+1$ dimensions.

Field-induced QCD$_3$-Chern-Simons quantum criticalities in Kitaev materials