Eur. Phys. J. D (2022) 76: 116
https://doi.org/10.1140/epjd/s10053-022-00440-4

Regular Article – Cold Matter and Quantum Gases

Many-body localization of 1D disordered impenetrable two-component fermions

¹ Department of Physics, National Research University Higher School of Economics, 101000, Moscow, Russia
² Russian Quantum Center, Skolkovo, 143025, Moscow, Russia
³ Physics Department, Columbia University, 538 West 120th Street, 10027, New York, New York, USA
⁴ Moscow Institute of Physics and Technology, Inst. Lane 9, 141701, Dolgoprudny, Moscow Region, Russia
⁵ Van der Waals-Zeeman Institute, University of Amsterdam, Science Park 904, 1098, Amsterdam, XH, The Netherlands
⁶ Universitè Paris-Saclay, CNRS, LPTMS, 91405, Orsay, France

^d georgy.shlyapnikov@universite-paris-saclay.fr

Received: 26 March 2022
Accepted: 16 June 2022
Published online: 6 July 2022

Abstract

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.