1307.4168 (Sutirtha Mukherjee et al.)

Enigmatic 4/11 State: A Prototype for Unconventional Fractional Quantum
Hall Effect    [PDF]

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

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

View original: http://arxiv.org/abs/1307.4168