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

R. A. Pinto, M. Rodríguez, J. A. González, E. Medina

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)101-106
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume341
Issue number1-4
DOIs
StatePublished - 20 Jun 2005
Externally publishedYes

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