Quantum anomalous Hall state from spatially decaying interactions on the decorated honeycomb lattice

Abstract

Topological phases typically encode topology at the level of the single particle band structure. But a remarkable class of models shows that quantum anomalous Hall effects can be driven exclusively by interactions, while the parent non-interacting band structure is topologically trivial. Unfortunately, these models have so far relied on interactions that do not spatially decay and are therefore unphysical. We study a model of spinless fermions on a decorated honeycomb lattice. Using complementary methods, mean-field theory and exact diagonalization, we find a robust quantum anomalous Hall phase arising from spatially decaying interactions. Our finding paves the way for observing the quantum anomalous Hall effect driven entirely by interactions.

arXiv comment7 pages, 9 figures

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Cited by in corpus (10)

• Tunning topological phase and quantum anomalous Hall effect by interaction in quadratic band touching systems
• Quantum Anomalous Hall Insulator Stabilized By Competing Interactions
• Quantum Anomalous Hall Phase Stabilized via Realistic Interactions on a Kagome Lattice
• Multiple insulating phases due to the interplay of strong correlations and lattice geometry in a single-orbital Hubbard model
• From quantum anomalous Hall phases to topological metals in interacting decorated honeycomb lattices
• Unconventional superconductivity near a flat band in organic and organometallic materials
• Magnetism and topological phases in an interacting decorated honeycomb lattice with spin-orbit coupling
• Chiral topological phases in optical lattices without synthetic fields
• Topological phases in pseudospin-1 Fermi gases with two-dimensional spin-orbit coupling
• Stabilizing Topological Superfluidity of Lattice Fermions