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

  • Regular Article – Cold Matter and Quantum Gases
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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.

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Data Availibility Statement

This manuscript has no associated data or the data will not be deposited. [Authors comment: The datasets generated during and analyzed during the current study are available from the corresponding author on reasonable request].

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Acknowledgements

We thank V.E. Kravtsov, V. Gritsev, O. Gamayun, and V. Smelyanskiy for useful discussions. This research was supported in part through computational resources of HPC facilities at NRU HSE and by the Russian Science Foundation Grant No. 20-42-05002. We also acknowledge support of this work by Rosatom.

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Authors and Affiliations

  1. Department of Physics, National Research University Higher School of Economics, Moscow, 101000, Russia

    Murod S. Bahovadinov

  2. Russian Quantum Center, Skolkovo, Moscow, 143025, Russia

    Murod S. Bahovadinov, Denis V. Kurlov, Boris L. Altshuler & Georgy V. Shlyapnikov

  3. Physics Department, Columbia University, 538 West 120th Street, New York, 10027, New York, USA

    Boris L. Altshuler

  4. Moscow Institute of Physics and Technology, Inst. Lane 9, Dolgoprudny, 141701, Moscow Region, Russia

    Georgy V. Shlyapnikov

  5. Van der Waals-Zeeman Institute, University of Amsterdam, Science Park 904, Amsterdam, 1098, XH, The Netherlands

    Georgy V. Shlyapnikov

  6. Universitè Paris-Saclay, CNRS, LPTMS, 91405, Orsay, France

    Georgy V. Shlyapnikov

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  1. Murod S. Bahovadinov
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  2. Denis V. Kurlov
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  3. Boris L. Altshuler
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All the authors were involved in the preparation of the manuscript. All the authors have read and approved the final manuscript.

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Correspondence to Georgy V. Shlyapnikov.

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Bahovadinov, M.S., Kurlov, D.V., Altshuler, B.L. et al. Many-body localization of 1D disordered impenetrable two-component fermions. Eur. Phys. J. D 76, 116 (2022). https://doi.org/10.1140/epjd/s10053-022-00440-4

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