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The theoretical inception of the Kitaev honeycomb model has had defininginfluence on the experimental hunt for quantum spin liquids, bringingunprecedented focus onto the synthesis of materials with bond-directionalinteractions. Numerous Kitaev materials, which are believed to harbor groundstates parametrically close to the Kitaev spin liquid, have been investigatedsince. Yet, in these materials the Kitaev interaction often comes hand in handwith off-diagonal $\Gamma$ interactions -- with the competition of the twopotentially giving rise to a magnetically ordered ground state. In an attemptto aid future material investigations, we study the phase diagram of thespin-1/2 Kitaev-$\Gamma$ model on the honeycomb lattice. Employing apseudofermion functional renormalization group approach which directly operatesin the thermodynamic limit and captures the joint effect of thermal and quantumfluctuations, we unveil the existence of extended parameter regimes withemergent incommensurate magnetic correlations at finite temperature. Wesupplement our results with additional calculations on a finite cylindergeometry to investigate the impact of periodic boundary conditions on theincommensurate order, thereby providing a perspective on previous numericalstudies on finite systems.

Functional renormalization group study of the Kitaev-$\Gamma$ model on the honeycomb lattice and emergent incommensurate magnetic correlations