Metal-insulator transition in one-dimensional lattices with chaotic energy sequences

Details Metal-insulator transition in one-dimensional lattices with chaotic energy sequences Metal-insulator transition in one-dimensional lattices with chaotic energy sequences

2004-02-13

arxiv.org/abs/cond-mat/0402364v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 5 figures (one figure replaced). Includes new results and a few additional references. Improved style for publication

Scientific paper

10.1016/j.physleta.2005.04.045

We study electronic transport through a one-dimensional array of sites by using a tight binding Hamiltonian, whose site-energies are drawn from a chaotic sequence. The correlation degree between these energies is controlled by a parameter regulating the dynamic Lyapunov exponent measuring the degree of chaos. We observe the effect of chaotic sequences on the localization length, conductance, conductance distribution and wave function, finding evidence of a Metal-Insulator Transition (MIT) at a critical degree of chaos. The one-dimensional metallic phase is characterized by a Gaussian conductance distribution and exhibits a peculiar non-selfaveraging.

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