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

Nat Commun

Department of Basic Science, University of Tokyo, Meguro-Ku, Komaba 3-8-1, Tokyo, 153-8902, Japan.

Published: February 2022

AI Article Synopsis

  • Spin-orbit interaction plays a crucial role in modern condensed matter phenomena, such as topological insulators and spin liquids, but its effects have typically been confined to adding topological characteristics without considering electron correlation.
  • This study demonstrates that in 5d pyrochlore electronic systems, strong spin-orbit interaction can produce multiple degenerate flat bands, where electrons localize in real space through destructive interference influenced by a SU(2) gauge field.
  • The resulting localized wave functions avoid Coulomb interactions and can lead to unique physical states, including a flat-band state with a robust spin chirality and a perfectly trimerized charge ordering, potentially explaining the exotic insulating phase observed in CsWO at low temperatures.

Article Abstract

Spin-orbit interaction has established itself as a key player in the emergent phenomena in modern condensed matter, including topological insulator, spin liquid and spin-dependent transports. However, its function is rather limited to adding topological nature to band kinetics, leaving behind the growing interest in the direct interplay with electron correlation. Here, 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 in this band localize in real space by destructively interfering with each other in a spin selective manner governed by the SU(2) gauge field. These electrons avoid the Coulomb interaction by self-organizing their localized wave functions, which may lead to a flat-band state with a stiff spin chirality. It also causes perfectly trimerized charge ordering, which may explain the recently discovered exotic low-temperature insulating phase of CsWO.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8807784PMC
http://dx.doi.org/10.1038/s41467-022-28132-yDOI Listing

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