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 employ the power-law random band matrix (PRBM) ensemble with single tuningparameter $\mu $ as the effective model for many-body localization (MBL)transition in random spin systems. We show the PRBM accurately reproduce theeigenvalue statistics on the entire phase diagram through the fittings ofhigh-order spacing ratio distributions $P(r^{(n)})$ as well as number variance$\Sigma ^{2}(l)$, in systems both with and without time-reversal symmetry. Forthe properties of eigenvectors, it's shown the entanglement entropy of PRBMdisplays an evolution from volume-law to area-law behavior which signatures anergodic-MBL transition, and the critical exponent is found to be $\nu =0.83\pm0.15$, close to the value obtained in 1D physical model by exactdiagonalization while the computational cost here is much less.

Power-Law Random Banded Matrix Ensemble as the Effective Model for Many-Body Localization Transition