Scale Invariant Entanglement Negativity at the Many-Body Localization Transition

Understand

The exact nature of the many-body localization transition remains an open question.

• An aspect which has been posited in various studies is the emergence of scale invariance around this point, however the direct observation of this phenomenon is still absent.
• Here we achieve this by studying the logarithmic negativity and mutual information between disjoint blocks of varying size across the many-body localization transition.
• The two length scales, block sizes and the distance between them, provide a clear quantitative probe of scale invariance across different length scales.