Eight-Dimensional Quantum Hall Effect and "Octonions"

Bogdan A. Bernevig, Jiangping Hu, Nicolaos Toumbas, Shou Cheng Zhang

Research output: Contribution to journalArticlepeer-review

100 Scopus citations


A generalization of the quantum Hall effect (QHE) where particles move in an eight-dimensional space under an SO(8) gauge field was constructed. A nonrelativistic Hamiltonian for particles moving on the S8 in the presence of the SO(8) gauge field above was also introduced. The particle carry SO(8) numbers and the generators ∑μν, combine nontrivally with the orbital angular momentum Lμν(0) on the equator of S8, to select some distinct special representations of the SO(9) Lab which label the particle. The two eight-dimensional quantum Hall fluids, whose dimensions vary as R20 and R 14, were also constructed.

Original languageEnglish (US)
Article number236803
Pages (from-to)2368031-2368034
Number of pages4
JournalPhysical review letters
Issue number23
StatePublished - Dec 5 2003
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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