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Topological Phase Transitions in the Repulsively Interacting Haldane-Hubbard Model
Tuomas I Vanhala1,2, Topi Siro1, Long Liang1
1COMP Centre of Excellence, Department of Applied Physics, Aalto University, Helsinki, Finland.
Physical Review Letters
|June 18, 2016
Summary
Researchers explored the Haldane-Hubbard model
Area of Science:
- Condensed Matter Physics
- Quantum Materials
- Topological Phases of Matter
Background:
- The Haldane-Hubbard model describes interacting electrons on a honeycomb lattice, exhibiting topological properties.
- Understanding the interplay between interactions and topology is crucial for novel quantum phenomena.
- Previous studies focused on non-interacting systems or specific interaction regimes.
Purpose of the Study:
- To investigate the phase diagram of the repulsive Haldane-Hubbard model.
- To explore the impact of interaction strength and sublattice potential on topological phases.
- To identify and characterize novel quantum Hall and Mott insulating phases.
Main Methods:
- Dynamical Mean-Field Theory (DMFT) for strong correlations.
- Exact Diagonalization (ED) for small system sizes.
- Systematic variation of interaction strength and sublattice potential.
Main Results:
- Identified quantum Hall phases with Chern numbers C=2 and C=1, and band insulators (C=0).
- Discovered a novel C=0 Mott insulating phase.
- Explained the C=1 quantum Hall phase via spontaneous symmetry breaking in spin components.
Conclusions:
- The repulsive Haldane-Hubbard model hosts a rich phase diagram with diverse topological and correlated states.
- Spontaneous symmetry breaking is key to understanding the emergent C=1 quantum Hall phase.
- This work provides insights into correlated topological matter and potential applications.
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