Year: 2023
Type: article
Abstract: We study the one-dimensional Hubbard model for two-component fermions with infinitely strong on-site repulsion ($t\ensuremath{-}0$ model) in the presence of disorder. Our analytical treatment demonstrates that the type of disorder drastically changes the nature of the emerging phases. The case of spin-independent disorder can be treated as a single-particle problem with Anderson localization. On the contrary, recent numerical findings show that spin-dependent disorder, which can be realized as a random magnetic field, leads to the many-body localization-delocalization transition. We find an explicit analytic expression for the matrix elements of the random magnetic field between the eigenstates of the $t\ensuremath{-}0$ model with potential disorder on a finite lattice. Analysis of the matrix elements supports the existence of the many-body localization-delocalization transition in this system and provides an extended physical picture of the random magnetic field.
Institutions: National University of Science and Technology, Russian Quantum Center, National Research University Higher School of Economics, Landau Institute for Theoretical Physics, Constructor Institute, Institute for Theoretical Physics Amsterdam, University of Amsterdam, Columbia University, Centre National de la Recherche Scientifique, Moscow Institute of Physics and Technology, Université Paris-Saclay, Laboratoire de Physique Théorique et Modèles Statistiques, Institute of Physics, Van der Waals-Zeeman Institute
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4226525067