1. Quantum cluster approach to the spinful Haldane-Hubbard model
- Author
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Jingxiang Wu, David Sénéchal, Joseph Maciejko, and J. P. L. Faye
- Subjects
Condensed Matter::Quantum Gases ,Physics ,Strongly Correlated Electrons (cond-mat.str-el) ,Condensed matter physics ,Hubbard model ,FOS: Physical sciences ,Interaction strength ,02 engineering and technology ,021001 nanoscience & nanotechnology ,01 natural sciences ,Condensed Matter - Strongly Correlated Electrons ,Amplitude ,Quantum Gases (cond-mat.quant-gas) ,Quantum mechanics ,0103 physical sciences ,Spin model ,Antiferromagnetism ,Condensed Matter::Strongly Correlated Electrons ,010306 general physics ,0210 nano-technology ,Condensed Matter - Quantum Gases ,Quantum ,Quantum fluctuation - Abstract
We study the spinful fermionic Haldane-Hubbard model at half filling using a combination of quantum cluster methods: cluster perturbation theory (CPT), the variational cluster approximation (VCA), and cluster dynamical mean-field theory (CDMFT). We explore possible zero-temperature phases of the model as a function of on-site 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 N\'eel antiferromagnetic insulator for strong interactions. For intermediate interactions, we find that topologically nontrivial N\'eel antiferromagnetic insulating phases and/or a topologically nontrivial nonmagnetic insulating phase may be stabilized., Comment: 11 pages, 12 figures. Published version
- Published
- 2021