English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

A recently proposed statistical model for the effects of decoherence onelectron transport manifests a decoherence-driven transition fromquantum-coherent localized to ohmic behavior when applied to theone-dimensional Anderson model. Here we derive the resistivity in the ohmiccase and show that the transition to localized behavior occurs when thecoherence length surpasses a value which only depends on the second-ordergeneralized Lyapunov exponent $\xi^{-1}$. We determine the exact value of$\xi^{-1}$ of an infinite system for arbitrary uncorrelated disorder andelectron energy. Likewise all higher even-order generalized Lyapunov exponentscan be calculated, as exemplified for fourth order. An approximation for thelocalization length (inverse standard Lyapunov exponent) is presented, byassuming a log-normal limiting distribution for the dimensionless conductance$T$. This approximation works well in the limit of weak disorder, with theexception of the band edges and the band center.

Decoherence-induced conductivity in the discrete 1D Anderson model: A novel approach to even-order generalized Lyapunov exponents