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Transition to the Haldane phase driven by electron-electron correlations
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DOI：10.1038/s41467-023-44135-9.png)
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Abstract
En 中文
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 twoorbital Hubbard model-with increasing repulsion strength U and Hund interaction J(H). 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.
Keywords:
QUANTUM SPIN
SYMMETRY-BREAKING
CHAINS
DYNAMICS
STATES
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