arXiv:1906.10701

[refraction-ray]

• Link
• Title: Statistics of correlations across the many-body localization transition
• Summary: The authors computed correlator in random Heisenberg model, including SzSz and S+S-. They found that the distribution of such correlator is deviating from Gaussian in thermal phase by charaterizing KL divergence (interesting to further understanding on why there is a deviation peak in thermal phase instead of MBL phase), which may be the reason for rare thermal region and Griffith effect. Besides, they apply perturbation theory to argue some features in their results distribution. It may also be interesting to note that there are two drop near center peak for spin flip correlator deeply in MBL phase.
• Method: shift-inverted ED, to get 50 eigenstates in the middle energy window.