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The joint symmetry $C_{2z}T$ protects obstructed atomic insulators in 2Dtranslational invariant magnetic materials, where electrons form moleculeorbitals with charge centers away from the positions of atoms. The transitionsfrom these states to atomic insulators have to go through an intermediatemetallic phase accomplished by the emergence, evolution, and annihilation ofDirac points. We show that, under (quenched) weak chemical potential disorderthat respects the $C_{2z}T$ symmetry on average, the intermediate metallicphase remains delocalized, where every point in a finite transition process isa scale-invariant critical metal in the thermodynamic limit. We thus refer tothe delocalized metallic phase as a crystalline-symmetry-associated criticalmetal phase. The underlying mechanism cannot be explained by conventionallocalization theories, such as weak anti-localization and topological phasetransition in the ten-fold way classification. Through a quantitative mappingbetween lattice models and network models, we find that the critical metalphase is equivalent to a quantum percolation problem with random fluxes. Thecriticality can hence be understood through a semi-classical percolationtheory.

Anderson Critical Metal Phase in Trivial States Protected by $C_{2z}T$ Symmetry on Average