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arXiv · 2112.06895

Disordered impenetrable two-component fermions in one dimension

D. V. Kurlov·M. S. Bahovadinov·S. I. Matveenko·A. K. Fedorov·V. Gritsev·B. L. Altshuler·G. V. Shlyapnikov
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Abstract

We study the one-dimensional Hubbard model for two-component fermions with infinitely strong on-site repulsion (t-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-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.

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D. V. Kurlov, M. S. Bahovadinov, S. I. Matveenko, A. K. Fedorov, V. Gritsev, B. L. Altshuler, G. V. Shlyapnikov. 2023-04-25. Disordered impenetrable two-component fermions in one dimension. https://doi.org/10.1103/physrevb.107.184202

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