Many-body delocalization dynamics in long Aubry-André quasiperiodic chains

Elmer V. H. Doggen; Alexander D. Mirlin

doi:10.1103/PhysRevB.100.104203

paper

Many-body delocalization dynamics in long Aubry-André quasiperiodic chains

arXiv:1901.06971 · doi:10.1103/PhysRevB.100.104203

Abstract

We study quench dynamics in an interacting spin chain with a quasi-periodic on-site field, known as the interacting Aubry-André model of many-body localization. Using the time-dependent variational principle, we assess the late-time behavior for chains up to $L = 50$ . We find that the choice of periodicity $Φ$ of the quasi-periodic field influences the dynamics. For $Φ = (5 - 1) /2$ (the inverse golden ratio) and interaction $Δ = 1$ , the model most frequently considered in the literature, we obtain the critical disorder $W_{c} = 4.8 \pm 0.5$ in units where the non-interacting transition is at $W = 2$ . At the same time, for periodicity $Φ = 2 /2$ we obtain a considerably higher critical value, $W_{c} = 7.8 \pm 0.5$ . Finite-size effects on the critical disorder $W_{c}$ are much weaker than in the purely random case. This supports the enhancement of $W_{c}$ in the case of a purely random potential by rare "ergodic spots," which do not occur in the quasi-periodic case. Further, the data suggest that the decay of the antiferromagnetic order in the delocalized phase is faster than a power law.

arXiv comment14 pages including appendix, 9 figures. Comments welcome

Many-body delocalization dynamics in long Aubry-André quasiperiodic chains

Abstract

References in corpus (58)

Cited by in corpus (66)