Universal Algebraic Growth of Entanglement Entropy in Many-Body Localized Systems with Power-Law Interactions.,Physical Review Letters

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Universal Algebraic Growth of Entanglement Entropy in Many-Body Localized Systems with Power-Law Interactions.
Physical Review Letters ( IF 8.1 ) Pub Date : 2020-06-29 , DOI: 10.1103/physrevlett.125.010401
Xiaolong Deng ₁ , Guido Masella ₂ , Guido Pupillo ₂ , Luis Santos ₁

Affiliation

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,

S_{v N} (t) \propto t^{γ}

. 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

γ_{c} ≃ 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