Abstract
The Read-Rezayi (RR) parafermion states form a series of exotic non-Abelian fractional quantum Hall (FQH) states at filling ν=k/(k+2). Computationally, the wave functions of these states are prohibitively expensive to generate for large systems. We introduce a series of parton states, denoted 2̄k1k+1, and show that they lie in the same universality classes as the particle-hole-conjugate RR ("anti-RR") states. Our analytical results imply that a [U(1)k+1×U(2k)-1]/[SU(k)-2×U(1)-1] coset conformal field theory describes the edge excitations of the 2̄k1k+1 state, suggesting nontrivial dualities with respect to previously known descriptions. The parton construction allows wave functions in anti-RR phases to be generated for hundreds of particles. We further propose the parton sequence n̄2̄214, with n=1,2,3, to describe the FQH states observed at ν=2+1/2, 2+2/5, and 2+3/8.
| Original language | English |
|---|---|
| Article number | 241108 |
| Journal | Physical Review B (Condensed Matter and Materials Physics) |
| Volume | 99 |
| Issue number | 24 |
| Number of pages | 6 |
| ISSN | 2469-9950 |
| DOIs | |
| Publication status | Published - 19 Jun 2019 |