Abstract
Power-law interactions play a key role in a large variety of physical systems. In the presence of disorder, these systems may undergo many-body localization for a sufficiently large disorder. Within the many-body localized phase the system presents in time an algebraic growth of entanglement entropy, . Whereas the critical disorder for many-body localization depends on the system parameters, we find by extensive numerical calculations that the exponent acquires a universal value at the many-body localization transition, for different lattice models, decay powers, filling factors, or initial conditions. Moreover, our results suggest an intriguing relation between and the critical minimal decay power of interactions necessary for many-body localization.
- Received 20 December 2019
- Revised 18 May 2020
- Accepted 16 June 2020
DOI:https://doi.org/10.1103/PhysRevLett.125.010401
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