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Interaction-driven quantum anomalous Hall insulator in Dirac semimetal
- Source :
- Phys. Rev. B 106, 205105 (2022)
- Publication Year :
- 2021
-
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 $C = 1$.<br />Comment: 14 pages, 12 figures
- Subjects :
- Condensed Matter - Strongly Correlated Electrons
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. B 106, 205105 (2022)
- Publication Type :
- Report
- Accession number :
- edsarx.2110.03059
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevB.106.205105