Interaction-driven phases in a Dirac Semimetal: Exact Diagonalization Results

Abstract

The interaction-driven phases in the Dirac semimetal (SM) of the $\pi -$ flux model on square lattice are studied with nearest-(NN), next-nearest- (NNN) and next-next-nearest-neighbor (NNNN) interactions using the exact diagonalization method. We find that the NN interaction drives a phase transition from the SM phase to a charge density wave insulator. In the presence of the NNN interaction, the system becomes an anisotropic SM for small interactions and an insulator with the stripe order for large ones. The NNNN interaction drives the Dirac SM to a dimmerized insulator. The interplay of the NNN and NNNN interactions is also studied. It is found that the NNNN interaction firstly eliminates the effect of the NNN interaction and then develops its favorable order. In the calculations, the signature of the interaction-driven quantum anomalous Hall phase is not found.

5 pages, 5 figures

References in corpus (6)

• Topological Mott Insulators
• Theory of interacting electrons on the honeycomb lattice
• Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
• Interaction effects and quantum phase transitions in topological insulators
• Spontaneous symmetry breakings in two-dimensional kagome lattice
• Interaction-induced anomalous quantum Hall state on the honeycomb lattice

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• Quantum Anomalous Hall Insulator Stabilized By Competing Interactions
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• Corroborating the bulk-edge correspondence in weakly interacting 1D topological insulators