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We point out a new class of level statistics where the level-spacing distribution follows an inverse power law p (s) s^-, with =3/2. It is characteristic of level clustering rather than level repulsion and appears to be universal for systems exhibiting unbounded quantum diffusion on 1D lattices. A relaxation of this class is met in a model of Bloch electorns in a magnetic field, where we find a purely diffusive spread of wave packets without the quantum limitations known from chaotic systems like the kicked rotator.
Geisel et al. (Mon,) studied this question.
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