Level statistics and localization in a 2D quantum percolation problem

dc.creatorLetz, M.
dc.creatorZiegler, K.
dc.date1997-05-06
dc.date.accessioned2026-07-07T03:09:03Z
dc.date.available2026-07-07T03:09:03Z
dc.descriptionA two dimensional model for quantum percolation with variable tunneling range is studied. For this purpose the Lifshitz model is considered where the disorder enters the Hamiltonian via the nondiagonal elements. We employ a numerical method to analyze the level statistics of this model. It turns out that the level repulsion is strongest around the percolation threshold. As we go away from the maximum level repulsion a crossover from a GOE type behavior to a Poisson like distribution is indicated. The localization properties are calculated by using the sensitivity to boundary conditions and we find a strong crossover from localized to delocalized states.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9705053
dc.identifierhttp://arxiv.org/abs/cond-mat/9705053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27736
dc.subjectCondensed Matter
dc.titleLevel statistics and localization in a 2D quantum percolation problem
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