Strongly correlated double Dirac fermions

Abstract

Double Dirac fermions have recently been identified as possible quasiparticles hosted by three-dimensional crystals with particular non-symmorphic point group symmetries. Applying a combined approach of ab-initio methods and dynamical mean field theory, we investigate how interactions and double Dirac band topology conspire to form the electronic quantum state of Bi${}_2$CuO${}_4$. We derive a downfolded eight-band model of the pristine material at low energies around the Fermi level. By tuning the model parameters from the free band structure to the realistic strongly correlated regime, we find a persistence of the double Dirac dispersion until its constituting time reveral symmetry is broken due to the onset of magnetic ordering at the Mott transition. We analyze pressure as a promising route to realize a double-Dirac metal in Bi${}_2$CuO${}_4$.

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• Strain-Engineering Mott-Insulating La${}_2$CuO${}_4$
• Coexistience of phononic six-fold, four-fold and three-fold excitations in ternary antimonide Zr3Ni3Sb4
• Prediction of three-fold fermions in a nearly-ideal Dirac semimetal BaAgAs
• Strain-induced tuning of the electronic Coulomb interaction in 3d transition metal oxide perovskites
• Ground state stability, symmetry, and degeneracy in Mott insulators with long range interactions
• Symmetry constraints and spectral crossing in a Mott insulator with Green's function zeros
• Topological phases in pyrochlore thallium niobate Tl${}_2$Nb${}_2$O${}_{6+x}$
• Pyramids and cootie catchers: new massless fermions in 2D materials
• Charge order induced Dirac pockets in the nonsymmorphic crystal TaTe${}_4$
• Quantum Geometric Origin of the Intrinsic Nonlinear Hall Effect