Spectrum and diffusion for a class of tight-binding models on hypercubes

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dc.creatorVidal, J.
dc.creatorMosseri, R.
dc.creatorBellissard, J.
dc.date1998-11-23
dc.date.accessioned2026-07-07T06:33:56Z
dc.date.available2026-07-07T06:33:56Z
dc.descriptionWe propose a class of exactly solvable anisotropic tight-binding models on an infinite-dimensional hypercube. The energy spectrum is analytically computed and is shown to be fractal and/or absolutely continuous according to the value hopping parameters. In both cases, the spectral and diffusion exponents are derived. The main result is that, even if the spectrum is absolutely continuous, the diffusion exponent for the wave packet may be anything between 0 and 1 depending upon the class of models.
dc.description5 pages Latex
dc.identifierhttps://arxiv.org/abs/cond-mat/9811323
dc.identifierhttp://arxiv.org/abs/cond-mat/9811323
dc.identifierJ. Phys. A 32, 2361 (1999)
dc.identifierdoi:10.1088/0305-4470/32/12/009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99364
dc.subjectMesoscale and Nanoscale Physics
dc.titleSpectrum and diffusion for a class of tight-binding models on hypercubes
dc.typetext

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