English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Fibonacci anyons and charge density order in the 12/5 and 13/5 quantum Hall plateaus

MPS-Authors
/persons/resource/persons145881

Pollmann,  Frank
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available
Citation

Mong, R. S. K., Zaletel, M. P., Pollmann, F., & Papic, Z. (2017). Fibonacci anyons and charge density order in the 12/5 and 13/5 quantum Hall plateaus. Physical Review B, 95(11): 115136. doi:10.1103/PhysRevB.95.115136.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-ADDD-4
Abstract
The nu = 12/5 fractional quantum Hall plateau observed in GaAs semiconductor wells is a suspect in the search for non-Abelian Fibonacci anyons. Using the infinite density matrix renormalization group, we find clear evidence that fillings nu = 12/5 and nu = 13/5 are in the k = 3 Read-Rezayi phase in the absence of particle-hole symmetry breaking effects. The lowest energy charged excitation is identified as a non-Abelian Fibonacci anyon, distinguished from its Abelian counterpart by its local quadrupole moment. However, several experiments at nu = 13/5 observe a reentrant integer quantum Hall effect, implying particle-hole symmetry is broken. We rule out spin polarization as the origin of the asymmetry. Further, we point out extremely close energetic competition between the Read-Rezayi phase and a reentrant integer quantum Hall phase. This competition suggests that even small particle-hole symmetry breaking perturbations can explain the experimentally observed asymmetry between nu= 12/5 and 13/5. We find that at nu = 12/5 Landau level mixing favors the Read-Rezayi phase over the reentrant phase.