Scenario for delocalization in translation-invariant systems

Wojciech de Roeck (1) , François Huveneers (2)

1 KU Leuven - Catholic University of Leuven = Katholieke Universiteit Leuven
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We investigate the possibility of Many-Body Localization in translation invariant Hamiltonian sys-tems, which was recently brought up by several authors. A key feature of Many-Body Localized disordered systems is recovered, namely the fact that resonant spots are rare and far-between. How-ever, we point out that resonant spots are mobile, unlike in models with strong quenched disorder, and that these mobile spots constitute a possible mechanism for delocalization, albeit possibly only on very long timescales. In some models, this argument for delocalization can be made very explicit in first order of perturbation theory in the hopping. For models where this does not work, we present instead a non-perturbative argument that relies solely on ergodicity inside the resonant spots.

Domaines: Physique [physics]

Wojciech de Roeck, François Huveneers. Scenario for delocalization in translation-invariant systems. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2014, 90 (16), pp.165137. ⟨10.1103/PhysRevB.90.165137⟩. ⟨hal-01099139⟩