Spin-charge separation and quantum spin Hall effect of β -bismuthene

Alexander C. Tyner*, Pallab Goswami*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Multiple works suggest the possibility of classification of quantum spin Hall effect with magnetic flux tubes, which cause separation of spin and charge degrees of freedom and pumping of spin or Kramers-pair. However, the proof of principle demonstration of spin-charge separation is yet to be accomplished for realistic, ab initio band structures of spin-orbit-coupled materials, lacking spin-conservation law. In this work, we perform thought experiments with magnetic flux tubes on β -bismuthene, and demonstrate spin-charge separation, and quantized pumping of spin for three insulating states, that can be accessed by tuning filling fractions. With a combined analysis of momentum-space topology and real-space response, we identify important role of bands supporting even integer invariants, which cannot be addressed with symmetry-based indicators. Our work sets a new standard for the computational diagnosis of two-dimensional, quantum spin-Hall materials by going beyond the Z2 paradigm and providing an avenue for precise determination of the bulk invariant through computation of quantized, real-space response.

Original languageEnglish (US)
Article number11393
JournalScientific reports
Issue number1
StatePublished - Dec 2023

ASJC Scopus subject areas

  • General


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