Ferromagnetism and Antiferromagnetism of Correlated Topological Insulator with Flat Band

Abstract

In this paper, based on the mean field approach and random-phase-approximation, we study the magnetic properties of the spinful Haldane model on honeycomb lattice of topological flat band with on-site repulsive Coulomb interaction. We find that the antiferromagnetic (AF) order is more stable than ferromagnetic (FM) order at (or near) half-filling; while away from half-filling the phase diagram becomes complex: At large doping, FM order is more stable than AF order due to the flatness of band structure. In particular, we find that at quarter filling case, the system becomes a Q=1$ topological insulator which is induced by the FM order.

11 pages, 19 figures

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Fractional quantum Hall effect in the absence of Landau levels
• Realizing and Detecting the Haldane's Quantum Hall effect with Ultracold Atoms
• Quantum Anomalous Hall Effect in Flat Band Ferromagnet
• Topological Hubbard model and its high-temperature quantum Hall effect

Cited by in corpus (7)

• Correlation effects in two-dimensional topological insulators
• Topological states in multi-orbital HgTe honeycomb lattices
• Quantum cluster approach to the spinful Haldane-Hubbard model
• Correlation effects in pyrochlore iridate thin films grown along the $[111]$ direction
• Low-energy behaviour of strongly-interacting bosons on a flat-banded lattice above the critical filling factor
• Flat-band ferromagnetism in a topological Hubbard model
• Topological properties of magnetically ordered heavy-fermion systems in the presence of mirror symmetry