Enigmatic 4/11 state: A prototype for unconventional fractional quantum hall effect

Sutirtha Mukherjee, Sudhansu S. Mandal, Ying Hai Wu, Arkadiusz Wójs, Jainendra K. Jain

Research output: Contribution to journalArticlepeer-review

38 Scopus citations


The origin of the fractional quantum Hall effect (FQHE) at 4/11 and 5/13 has remained controversial. We make a compelling case that the FQHE is possible here for fully spin polarized composite fermions, but with an unconventional underlying physics. Thanks to a rather unusual interaction between composite fermions, the FQHE here results from the suppression of pairs with a relative angular momentum of three rather than one, confirming the exotic mechanism proposed by Wójs, Yi, and Quinn [Phys. Rev. B 69, 205322 (2004)]. We predict that the 4/11 state reported a decade ago by Pan et al. [Phys. Rev. Lett. 90, 016801 (2003)] is a conventional partially spin polarized FQHE of composite fermions, and we estimate the Zeeman energy where a phase transition into the unconventional fully spin polarized state will occur.

Original languageEnglish (US)
Article number016801
JournalPhysical review letters
Issue number1
StatePublished - Jan 6 2014

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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