Statistics of systemwide correlations

in the random-field XXZ chain:

Importance of rare events in the many-body localized phase

arXiv:2410.10325

See also : JC, FA & NL, PRL 133 (11), 116502 (2024)

Jeanne Colbois, Fabien Alet and Nicolas Laflorencie

LPT Toulouse CNRS & National University of Singapore

Rare, large correlations...

In a regime (green) where standard observables already predict many-body localization, the midchain (systemwide) correlations along the field direction (\(z\)) reveal a wide region where the typical and average values behave in qualitatively different ways.