Kinetic magnetism and stripe order in the doped AFM bosonic ${t-J}$ model

• URL: http://arxiv.org/abs/2410.00904v1
• Date: Tue, 1 Oct 2024 17:50:10 GMT
• Title: Kinetic magnetism and stripe order in the doped AFM bosonic ${t-J}$ model
• Authors: Timothy J. Harris, Ulrich Schollwöck, Annabelle Bohrdt, Fabian Grusdt,
• Abstract summary: We explore the strong coupling limit of doped bosonic quantum magnets, specifically the antiferromagnetic (AFM) bosonic $t-J$ model. We find that in the low doping regime, bosonic holes tend to form partially-filled stripes, akin to those observed in high-$T_c$ cuprates. Our findings shed light on the role of particle statistics in strongly correlated quantum matter and connect to phases in the 2D Fermi-Hubbard and $t-J$ models.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Unraveling the microscopic mechanisms governing the physics of doped quantum magnets is a central challenge in strongly correlated many-body physics. Quantum simulation platforms, e.g. ultracold atoms trapped in optical lattices or tweezer arrays, offer an exciting pathway to investigate the interplay between spin and charge motion, thereby providing an avenue to addressing longstanding questions such as the nature of charge pairing in high-temperature superconductors. Here, in a new twist, we seek to disentangle the role of particle statistics in the physics of strongly correlated systems by exploring the strong coupling limit of doped bosonic quantum magnets, specifically the antiferromagnetic (AFM) bosonic $t-J$ model. We perform large-scale density matrix renormalization group (DMRG) calculations to map out the phase diagram of the AFM bosonic $t-J$ model on the 2D square lattice at finite doping. We find that in the low doping regime, bosonic holes tend to form partially-filled stripes, akin to those observed in high-$T_c$ cuprates. As doping increases beyond a critical value $\delta \gtrsim \delta^*_\mathrm{PP} (\delta^*_\mathrm{FM})$, a transition occurs between AFM and ferromagnetic (FM) ground states, driven by the competition between Heisenberg-type AFM and Nagaoka-type FM mediated by the motion of mobile bosonic holes. In the high doping or large $t/J$ limit, the system evolves into a fully-polarized SU(2) ferromagnet, consistent with a phase transition linked to Nagaoka polarons. Our findings shed light on the role of particle statistics in strongly correlated quantum matter and connect to phases in the 2D Fermi-Hubbard and $t-J$ models. Our results may be realized in state-of-the-art quantum simulation experiments with bosonic quantum gas microscopes, paving the way for further exploration of doped bosonic quantum magnets.

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