Slow dynamics and strong finite-size effects in many-body localization with random and quasiperiodic potentials

被引:60
作者
Weiner, Felix [1 ]
Evers, Ferdinand [1 ]
Bera, Soumya [2 ]
机构
[1] Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany
[2] Indian Inst Technol, Dept Phys, Mumbai 400076, Maharashtra, India
关键词
D O I
10.1103/PhysRevB.100.104204
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We investigate charge relaxation in disordered and quasiperiodic quantum wires of spinless fermions (t -V model) at different inhomogeneity strength W in the localized and nearly localized regime. Our observable is the time-dependent density correlation function, Phi(x, t), at infinite temperature. We find that disordered and quasiperiodic models behave qualitatively similar: Although even at longest observation times the width Delta x(t) of Phi(x, t) does not exceed significantly the noninteracting localization length, xi(0), strong finite-size effects are encountered. Our findings appear difficult to reconcile with the rare-region physics (Griffiths effects) that often is invoked as an explanation for the slow dynamics observed by us and earlier computational studies. Motivated by our numerical data we discuss a scenario in which the MBL-phase splits into two subphases: in MBLA Delta x(t) diverges slower than any power, while it converges towards a finite value in MBLB. Within the scenario the transition between MBLA and the ergodic phase is characterized by a length scale, xi, that exhibits an essential singularity In xi similar to 1/vertical bar W - W-c1 vertical bar. Relations to earlier numerics and proposals of two-phase scenarios will be discussed.
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页数:11
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