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Poster Session

Poster Session II

4:00 pm – 6:00 pm, Wednesday June 18 Session H00 Oregon Convention Center, Exhibit Hall E
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Two-Dopant Origin of Competing Stripe and Pair Formation in Hubbard and t-J models

Poster 119
Presenter: Tizian Blatz (LMU Munich; MCQST)
Authors: Ulrich Schollwöck (LMU Munich; MCQST), Fabian Grusdt (LMU Munich; MCQST), Annabelle Bohrdt (LMU Munich; MCQST; University of Regensburg)

Understanding the physics of the two-dimensional Hubbard model is widely believed to be a key step in achieving a full understanding of high-Tc cuprate superconductors. In recent years, progress has been made by large-scale numerical simulations and quantum simulation experiments at finite doping and, on the other hand, by microscopic theories able to capture the physics of individual charge carriers. Here, we present our recent work [1] studying single pairs of dopants using the density-matrix renormalization group (DMRG) algorithm. We identify two coexisting charge configurations that couple to the spin environment in different ways: A tightly bound configuration featuring (next-)nearest-neighbor pairs and a stripe-like configuration of dopants accompanied by a spin domain wall. Thus, we establish that the interplay between stripe order and uniform pairing, central to the models’ phases at finite doping, has its origin at the single-pair level. Including a next-nearest-neighbor tunnelling t′ term upsets the balance between the competing stripe and pair states on the two-dopant level.

Based on the pair’s binding energies, we expect the pairing physics to be accessible to state of the art ultracold-atom quantum simulators, which naturally provide access to the higher order correlation functions analyzed in our work.

[1] T. Blatz, U. Schollwöck, F. Grusdt, A. Bohrdt, arXiv:2409.18131 (2024)

Funding acknowledgement

This research was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy—EXC-2111—390814868 and by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement number 948141). The work was supported by grant INST 86/1885-1 FUGG of the German Research Foundation (DFG).

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