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We study the effects of hydrostatic pressure in the range 0.0--2.0 GPa onanion mobility in the orthorhombic $Pnma$ phase of CsPbBr$_{3}$. Using densityfunctional theory and the climbing nudged elastic band method, we calculate thetransition states and activation energies for anions to migrate both within andbetween neighbouring PbBr$_{3}$ octahedra. The results of those calculationsare used as input to a kinetic model for anion migration, which we solve in thesteady state to determine the anion mobility tensor as a function of appliedpressure. We find that the response of the mobility tensor to increasingpressure is highly anisotropic, being strongly enhanced in the $(010)$ latticeplane and strongly reduced in the direction normal to it at elevated pressure.These results demonstrate the potentially significant influence of pressure andstrain on the magnitude and direction of anion migration in lead--halideperovskites.

3D-to-2D Transition of Anion Mobility in CsPbBr$_{3}$ under Pressure