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Kinetic magnetism and stripe order in the antiferromagnetic bosonic t−J model

Timothy J. Harris1,2,*, Ulrich Schollwöck1,2, Annabelle Bohrdt1,2,3, and Fabian Grusdt1,2,†

  • *Contact author: tim.harris@lmu.de
  • †Contact author: fabian.grusdt@lmu.de
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Phys. Rev. B 114, L051105 – Published 15 July, 2026

DOI: https://doi.org/10.1103/djyg-5jtq

Abstract

Unraveling the microscopic mechanisms governing the physics of doped quantum magnets is key to advancing our understanding of strongly correlated quantum matter. Quantum simulation platforms, e.g., ultracold atoms in optical lattices or tweezer arrays, provide a powerful tool to investigate the interplay between spin and charge motion in microscopic detail. Here, in a twist, we disentangle the role of particle statistics from the physics of strong correlations by exploring the strong coupling limit of doped bosonic quantum magnets, specifically the antiferromagnetic (AFM) bosonic t−J model. Using large-scale density matrix renormalization group calculations, we map out the phase diagram on the two-dimensional square lattice at finite doping. In the low-doping regime, bosonic holes form partially filled stripes, akin to those observed in high-Tc cuprates. As doping increases, a transition occurs to a partially polarized ferromagnetic (FM) phase, driven by the motion of mobile bosonic charge carriers forming Nagaoka polarons. At high doping or large t/J, the system evolves into a fully polarized FM. These findings shed light on the role of particle statistics in strongly correlated many-body systems, revealing connections to stripe formation and the physics of kinetic (Nagaoka-type) ferromagnetism. Our results may be realized in state-of-the-art quantum simulation platforms, including bosonic quantum gas microscopes, Rydberg atom tweezer arrays, and ultracold polar molecules, paving the way for future experimental studies of doped bosonic quantum magnets.

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Phys. Rev. B 114, L051105– Published 15 July, 2026
  • Received 3 December 2024
  • Revised 14 January 2026
  • Accepted 1 June 2026
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