Numerical studies of the Pfaffian model of the nu=5/2 fractional quantum Hall effect

Csaba Tőke, Nicolas Regnault, Jainendra K. Jain

Yuan-Ming Lu, Yue Yu, Ziqiang Wang

Po-Shen Hsin, Ying-Hsuan Lin, Natalie M. Paquette +1 more

This work constructs an effective field theory of fractional quantum Hall systems near the filling fraction \ensuremath{\nu}=5/2, which can map out an EFT phase diagram with non-abelian Pfaffian, anti-Pfaffian, and particle-hole Pfaffian states, and their gapless topological quantum phase transitions.

Ijaz Durrani

D. Yoshioka

Arkadiusz Wójs, G. J. Sreejith, Gunnar Möller +2 more

We review the recently developed bipartite composite fermion model for the excitations of the so-called Pfaffian state, a promising model for the fractional quantum Hall effect at the Landau level filling factor ν = 5/2.In particular, we demonstrate a necessary ingredient of the non-Abelian braid statistics, namely the degeneracy of spatially indistinguishable configurations of widely separated quasiparticles.