Abstract

As a fraction of bonds $p$ is removed from a lattice, we find a threshold ${p}_{Q}$ above which all eigenstates are nonpropagating (Anderson localized). This occurs well before the classical percolation threshold. For example, in two dimensions where the classical threshold is ${p}_{c}=\frac{1}{2}$, we find ${p}_{Q}\ensuremath{\approx}0$.

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