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- Title
Transition to the Haldane phase driven by electron-electron correlations.
- Authors
Jażdżewska, A.; Mierzejewski, M.; Środa, M.; Nocera, A.; Alvarez, G.; Dagotto, E.; Herbrych, J.
- Abstract
One of the most famous quantum systems with topological properties, the spin S = 1 antiferromagnetic Heisenberg chain, is well-known to display exotic 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. At the microscopic level, the localized spins arise due to the electron-electron interactions. Here, the authors show how a topological phase of the Haldane spin chain emerges in a two-orbital Hubbard model with increasing interaction strength.
- Subjects
PHASE transitions; ELECTRON-electron interactions; HUBBARD model; MAGNETIC moments; TOPOLOGICAL entropy; TOPOLOGICAL property
- Publication
Nature Communications, 2023, Vol 14, Issue 1, p1
- ISSN
2041-1723
- Publication type
Article
- DOI
10.1038/s41467-023-44135-9