Abstract
AbstractOne 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.
Funder
Narodowe Centrum Nauki
Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada
Max Planck-UBC-UTokyo Center for Quantum Materials
Publisher
Springer Science and Business Media LLC
Subject
General Physics and Astronomy,General Biochemistry, Genetics and Molecular Biology,General Chemistry,Multidisciplinary
Cited by
2 articles.
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