Transition to the Haldane phase driven by electron-electron correlations

A. Jażdżewska, M. Mierzejewski, M. Środa, A. Nocera, G. Alvarez, E. Dagotto and J. Herbrych ()
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A. Jażdżewska: University of Wrocław
M. Mierzejewski: Wrocław University of Science and Technology
M. Środa: Wrocław University of Science and Technology
A. Nocera: University of British Columbia
G. Alvarez: Oak Ridge National Laboratory
E. Dagotto: University of Tennessee
J. Herbrych: Wrocław University of Science and Technology

Nature Communications, 2023, vol. 14, issue 1, 1-7

Abstract: Abstract One of the most famous quantum systems with topological properties, the spin $${{{{{{{\mathcal{S}}}}}}}}=1$$ S = 1 antiferromagnetic Heisenberg chain, is well-known to display exotic $${{{{{{{\mathcal{S}}}}}}}}=1/2$$ S = 1 / 2 edge states. However, this spin model has not been analyzed from the more general perspective of strongly correlated systems varying the electron-electron interaction strength. Here, we report the investigation of the emergence of the Haldane edge in a system of interacting electrons – the two-orbital Hubbard model—with increasing repulsion strength U and Hund interaction JH. We show that interactions not only form the magnetic moments but also form a topologically nontrivial fermionic many-body ground-state with zero-energy edge states. Specifically, upon increasing the strength of the Hubbard repulsion and Hund exchange, we identify a sharp transition point separating topologically trivial and nontrivial ground-states. Surprisingly, such a behaviour appears already at rather small values of the interaction, in a regime where the magnetic moments are barely developed.

Date: 2023
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DOI: 10.1038/s41467-023-44135-9

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