A disordered 3D ensemble with average C4T symmetry realizes an axion statistical topological insulator with average theta = pi that has no clean band-insulator counterpart.
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Intrinsic (Axion) Statistical Topological Insulator
A disordered 3D ensemble with average C4T symmetry realizes an axion statistical topological insulator with average theta = pi that has no clean band-insulator counterpart.