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We prove quantum ergodicity for a family of periodic Schr\”odinger operators
\$H\$ on periodic graphs. This means that most eigenfunctions of \$H\$ on large
finite periodic graphs are equidistributed in some sense, hence delocalized.
Our results cover the adjacency matrix on \$\mathbb{Z}^d\$, the triangular
lattice, the honeycomb lattice, Cartesian products and periodic Schr\”odinger
operators on \$\mathbb{Z}^d\$. The theorem applies more generally to any periodic
Schr\”odinger operator satisfying an assumption on the Floquet eigenvalues.

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