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

We consider the macroscopic system of free lattice fermions in one dimensionsassuming that the one-body Hamiltonian of the system is the one dimensionaldiscrete Schr\"odinger operator with independent identically distributed randompotential. We show that the variance of the entanglement entropy of the segment$[-M,M]$ of the system is bounded away from zero as $% M\rightarrow \infty $.This manifests the absence of the selfaveraging property of the entanglemententropy in our model, meaning that in the one-dimensional case the completedescription of the entanglement entropy is provided by its whole probabilitydistribution. This also may be contrasted the case of dimension two or more,where the variance of the entanglement entropy per unit surface area vanishesas $M\rightarrow \infty $ \cite{El-Co:17}, thereby guaranteing therepresentativity of its mean for large $M$ in the multidimensional case.

The absence of the selfaveraging property of the entanglement entropy of disordered free fermions in one dimension