The group velocity and Lieb-Robinson velocity of a periodic Schrodinger operator decay as mu^{-p0+1} in the large-coupling limit, where p0 is the minimal period.
Abdul-Rahman, M
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Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schr\"odinger Operators
The group velocity and Lieb-Robinson velocity of a periodic Schrodinger operator decay as mu^{-p0+1} in the large-coupling limit, where p0 is the minimal period.