Interaction-driven quantum anomalous Hall insulator in Dirac semimetal

Abstract

The interaction-driven quantum anomalous Hall (QAH) insulator has been sought for a long time in a Dirac semimetal with linear band touching points at the Fermi level. By combining exact diagonalization, density matrix renormalization group, and analytical methods, we study a spinless fermion system on the checkerboard lattice with two fold rotational symmetry, which realizes two Dirac band touching points in the absence of interaction. At weak coupling, the Dirac semimetal is stable. At a finite density-density repulsive interaction, we analyze possible symmetry broken states, and find that an QAH state is stabilized when the interaction strength exceeds the energy scale controlling the separation between the Dirac points. Through numerical simulations, we verify the existence of the QAH phase with spontaneous time-reversal symmetry breaking and quantized Chern number $C=1$.

14 pages, 12 figures

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Cited by in corpus (5)

• Thermodynamic Response and Neutral Excitations in Integer and Fractional Quantum Anomalous Hall States Emerging from Correlated Flat Bands
• Ubiquitous nematic Dirac semimetal emerging from interacting quadratic band touching system
• Generic integer and fractional quantum anomalous Hall crystals from interaction-driven band folding
• Quantum anomalous Hall domains in a Quenched Topological Mott Insulator
• Correlated Hopf insulators