Many-body localization of 1D disordered impenetrable two-component fermions – Archive ouverte HAL

Murod BahovadinovDenis KurlovBoris AltshulerGeorgy Shlyapnikov 1

Murod Bahovadinov, Denis Kurlov, Boris Altshuler, Georgy Shlyapnikov. Many-body localization of 1D disordered impenetrable two-component fermions. The European Physical Journal D : Atomic, molecular, optical and plasma physics, EDP Sciences, 2022, 76 (7), pp.116. ⟨10.1140/epjd/s10053-022-00440-4⟩. ⟨hal-03738522⟩

We study effects of disorder on eigenstates of 1D two-component fermions with infinitely strong Hubbard repulsion. We demonstrate that the spin-independent (potential) disorder reduces the problem to the one-particle Anderson localization taking place at arbitrarily weak disorder. In contrast, a random magnetic field can cause reentrant many-body localization-delocalization transitions. Surprisingly weak magnetic field destroys one-particle localization caused by not too strong potential disorder, whereas at much stronger fields the states are many-body localized. We present numerical support of these conclusions.

  • 1. LPTMS – Laboratoire de Physique Théorique et Modèles Statistiques

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