[PDF][PDF] Anomalous quantum transport in presence of self-similar spectra
JM Barbaroux, H Schulz-Baldes - Annales de l'IHP Physique théorique, 1999 - numdam.org
Annales de l'IHP Physique théorique, 1999•numdam.org
We consider finite-difference Hamiltonians given by Jacobi matrices with self-similar spectra
of the Cantor type and prove upper bounds on the diffusion exponents which show that the
quantum motion in these models is anomalous diffusive. For Julia matrices, this bound is
expressed only in terms of the generalized dimensions of the spectral measures.@ Elsevier,
Paris
of the Cantor type and prove upper bounds on the diffusion exponents which show that the
quantum motion in these models is anomalous diffusive. For Julia matrices, this bound is
expressed only in terms of the generalized dimensions of the spectral measures.@ Elsevier,
Paris
Abstract
We consider finite-difference Hamiltonians given by Jacobi matrices with self-similar spectra of the Cantor type and prove upper bounds on the diffusion exponents which show that the quantum motion in these models is anomalous diffusive. For Julia matrices, this bound is expressed only in terms of the generalized dimensions of the spectral measures.@ Elsevier, Paris
numdam.org
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