Many-body localization in a quantum Ising model with the long-range interaction: Accurate determination of the transition point
Illia Lukin, Andrii Sotnikov, Alexander L. Burin
SciPost Phys. 20, 023 (2026) · published 27 January 2026
- doi: 10.21468/SciPostPhys.20.1.023
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Abstract
We investigate the many-body localization (MBL) transition in the quantum Ising model with long-range interactions. Unlike spin chains with short-range interactions, where the MBL transition point remains elusive due to strong finite-size effects and local fluctuations, long-range interactions suppress such fluctuations and enable clearer signatures of critical behavior. Using exact results from a related Bethe lattice localization problem, we estimate the MBL threshold within logarithmic accuracy and find consistency with exact diagonalization. Although the critical disorder diverges in the thermodynamic limit, our results demonstrate that the critical regime can still be probed and highlight the relevance of this model to systems with dipole-dipole, elastic, or indirect exchange interactions.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Illia Lukin,
- 1 2 Andrii Sotnikov,
- 3 Alexander L. Burin
- 1 Харківський фізико-технічний інститут / Kharkov Institute of Physics and Technology [KIPT]
- 2 Харківський національний університет імені В. Н. Каразіна / University of Kharkiv
- 3 Tulane University
- IEEE Foundation
- Louisiana Board of Regents
- Ministerstvo Školství, Mládeže a Tělovýchovy (through Organization: Ministerstvo školství, mládeže a tělovýchovy České republiky / Ministry of Education Youth and Sports [MSMT])
- National Research Foundation of Ukraine
- National Science Foundation [NSF]
- Science and Technology Center in Ukraine
- Tulane University
