Searching for topological density wave insulators in multi-orbital square lattice systems

Abstract

We study topological properties of density wave states with broken translational symmetry in two-dimensional multi-orbital systems with a particular focus on t${}_{2g}$ orbitals in square lattice. Due to distinct symmetry properties of d-orbitals, a nodal charge or spin density wave state with Dirac points protected by lattice symmetries can be achieved. When an additional order parameter with opposite reflection symmetry is introduced to a nodal density wave state, the system can be fully gapped leading to a band insulator. Among those, topological density wave (TDW) insulators can be realized, when an effective staggered on-site potential generates a gap to a pair of Dirac points connected by the inversion symmetry which have the same topological winding numbers. We also present a mean-field phase diagram for various density wave states, and discuss experimental implications of our results.

15 pages, 10 figures, 7 tables

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Cited by in corpus (9)

• Multiorbital Spin Susceptibility in a Magnetically Ordered State - Orbital versus Excitonic Spin Density Wave Scenario
• Symmetry analysis of translational symmetry broken density waves: application to hexagonal lattices in two dimensions
• Charge density wave induced nodal lines in LaTe${}_3$
• Topological Surface States in Paramagnetic and Antiferromagnetic Iron Pnictides
• Charge-$2e$ Skyrmion condensate in a hidden order state
• Antiferromagnetism in Iron-Based Superconductors: Selection of Magnetic Order and Quasiparticle Interference
• Skyrmion quantum numbers and quantized pumping in two dimensional topological chiral magnets
• Kohn-Luttinger-like mechanism for unconventional charge density waves
• Kramers nodal line in the charge density wave state of YTe${}_3$ and the influence of twin domains