Strain-Controlled Topological Phase Transitions and Chern Number Reversal in Two-Dimensional Altermagnets

We present a theoretical and first-principles study of a two-dimensional altermagnet exhibiting spin-valley locking and strain-tunable topological phases. By constructing a minimal tight-binding model constrained by altermagnetic symmetry, we show that biaxial strain can drive a transition from a trivial insulator to a type-II quantum spin Hall (QSH) phase. Furthermore, we derive an analytical strain-induced perturbation theory that identifies two critical curves, dividing the phase space into four regions corresponding to a trivial insulator, a type-II QSH phase, and two quantum anomalous Hall phases with opposite Chern numbers. Remarkably, the Chern number can be reversed purely by changing the strain direction --without modifying magnetization or applying magnetic fields. The model reveals a universal phase diagram for materials with the same symmetry and valley structure. First-principles calculations on monolayer CrO confirm the predicted topological transitions, establishing strain engineering as an effective route for topological control in two-dimensional altermagnetic materials.