  The topological phase in amorphous systems adds a new dimension to the
topological states of matter. Here, we present an interesting phenomenon dubbed
the topological Anderson amorphous insulator (TAAI). Anderson disorder can
drive topologically trivial amorphous systems with structural disorders into
noncrystalline topological insulators. The gap closing and reopening, spin Bott
index, robust edge states, and quantized conductance characterize the Anderson
disorder-induced nontrivial topology in amorphous systems. More importantly,
phase diagrams are given for the topological phase transition (TPT). It is
found that amorphous structural disorder and Anderson disorder are synergistic
to drive the s-p band inversion of the system and hence the TPT, which is
further confirmed by the effective medium theory. Our findings report a
disorder-induced topological phenomenon in noncrystalline systems and shed
light on the physical understanding of the interplay between the coexistence of
two types of disorder effects and topology.

Mesoscale and Nanoscale Physics