Quantum cluster approach to the spinful Haldane-Hubbard model

We study the spinful fermionic Haldane-Hubbard model at half-filling using a combination of quantum cluster methods: cluster perturbation theory, the variational cluster approximation, and cluster dynamical mean-field theory. We explore possible zero-temperature phases of the model as a function of...

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Bibliographic Details
Published in:Physical review. B 2016-02, Vol.93 (7), Article 075131
Main Authors: Wu, Jingxiang, Faye, Jean Paul Latyr, Sénéchal, David, Maciejko, Joseph
Format: Article
Language:English
Subjects:
Antiferromagnetism
Clusters
Condensed matter
Fluctuation
Insulators
Mathematical models
Phases
Strength
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Summary:We study the spinful fermionic Haldane-Hubbard model at half-filling using a combination of quantum cluster methods: cluster perturbation theory, the variational cluster approximation, and cluster dynamical mean-field theory. We explore possible zero-temperature phases of the model as a function of onsite repulsive interaction strength and next-nearest-neighbor hopping amplitude and phase. Our approach allows us to access the regime of intermediate interaction strength, where charge fluctuations are significant and effective spin model descriptions may not be justified. Our approach also improves upon mean-field solutions of the Haldane-Hubbard model by retaining local quantum fluctuations and treating them nonperturbatively. We find a correlated topological Chern insulator for weak interactions and a topologically trivial Neel antiferromagnetic insulator for strong interactions. For intermediate interactions, we find that topologically nontrivial Neel antiferromagnetic insulating phases and/or a topologically nontrivial nonmagnetic insulating phase may be stabilized.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.93.075131