Perfect flat band with chirality and charge ordering out of strong spin-orbit interaction

Abstract

Spin-orbit interaction established itself as a major role player for emergent phenomena in modern condensed matter including a topological insulator, spin liquid and spin-dependent transports. However, its function is rather limited to adding topological nature to each phases of matter. We prove by our spinor line graph theory that a very strong spin-orbit interaction realized in 5d pyrochlore electronic systems generates multiply degenerate perfect flat bands. Unlike any of the previous flat bands, the electrons living there localize in real space by destructively interfering with each other in a spin selective manner ruled by the SU(2) gauge field. These electrons avoid the Coulomb interaction by self-organizing their localized wave functions. This gives rise to the trimerized charge ordering hand in hand with a stiff spin chirality, which may explain the recently found exotic low-temperature insulating phase of CsW2O6.

arXiv comment11pages, 7 figures

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• Fast quantum transfer mediated by topological domain walls
• Phase diagram of the square lattice Hubbard model with Rashba-type antisymmetric spin-orbit coupling
• Line-Graph Approach to Spiral Spin Liquids
• Emergent chiral symmetry in non-bipartite kagome and pyrochlore lattices with spin-orbit coupling
• Spin-orbit coupled Hubbard skyrmions
• Pinch-point spectral singularity from the interference of topological loop states
• Interorbital Antisymmetric Hopping Generated Flat Bands on Kagome and Pyrochlore Lattices
• Boundary Flat Bands with Topological Spin Textures Protected by Sub-chiral Symmetry
• Spinon band flattening by its emergent gauge field in quantum kagome ice
• Frustration-free free fermions
• Electronic Self-Organization in the β-Pyrochlore Oxide CsW2O6
• Spinor ice correlation in flat-band electronic states on kagome and pyrochlore lattices with spin-orbit coupling
• Frustration-free free fermions and beyond
• Non-Abelian line graph: A generalized approach to flat bands
• Effective spin model with anisotropic exchange interactions for the spin-orbit coupled Hubbard model at half-filling