SciPost logo

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

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.


Ontology / Topics

See full Ontology or Topics database.

Localization Many-body localization (MBL)

Authors / Affiliations: mappings to Contributors and Organizations

See all Organizations.
Funders for the research work leading to this publication