Transport in the random Kronig-Penney model
classification
🧮 math-ph
math.MP
keywords
kronig-penneymodelrandomcriticaldensitydiffusiondiracenergies
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The Kronig-Penney model with random Dirac potentials on the lattice $\ZM$ has critical energies at which the Lyapunov exponent vanishes and the density of states has a van Hove singularity. This leads to a non-trivial quantum diffusion even though the spectrum is known to be pure-point.
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