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Universal Algebraic Growth of Entanglement Entropy in Many-Body Localized Systems with Power-Law Interactions
Physical Review Letters ( IF 8.385 ) Pub Date : 2020-06-29 , DOI: 10.1103/physrevlett.125.010401
Xiaolong Deng; Guido Masella; Guido Pupillo; Luis Santos

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, SvN(t)∝tγ. Whereas the critical disorder for many-body localization depends on the system parameters, we find by extensive numerical calculations that the exponent γ acquires a universal value γc≃0.33 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 γc and the critical minimal decay power of interactions necessary for many-body localization.
更新日期:2020-06-29

 

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