2016/06/30 by Rajeev Singh, Roderich Moessner, Dibyendu Roy · 1 citation
Physics and Astronomy · #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.95.094205
published as Phys. Rev. B 95, 094205 (2017) · 12 pages, 9 figures; In the revised version, we have added an analogy between one-dimensional long-range and higher-dimensional short-range models in the context of many-body localization
arxiv created 2016/12/09 · arxiv updated 2017/03/29
We numerically investigate the dynamics of entanglement in a chain of spinless fermions with nonrandom but long-range hopping and interactions, and with random on-site energies. For moderate disorder in the absence of interactions, the chain hosts delocalized states at the top of the band which undergo a delocalization-localization transition with increasing disorder. We find an interesting regime in this noninteracting disordered chain where the long-time entanglement entropy scales as S(t) ∼ ln t and the saturated entanglement entropy scales with system size L as S(L,t → ∞) ∼ ln L. We further study the interplay of long-range hopping and interactions on the growth of entanglement and the many-body localization (MBL) transition in this system. We develop an analogy to higher-dimensional short-range systems to compare and contrast such behavior with the physics of MBL in a higher dimension.