TY - JOUR
T1 - Parton construction of particle-hole-conjugate Read-Rezayi parafermion fractional quantum Hall states and beyond
AU - nrc762, nrc762
AU - Barkeshli, Maissam
AU - Rudner, Mark Spencer
N1 - [Qdev]
PY - 2019/6/19
Y1 - 2019/6/19
N2 - 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.
AB - 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.
U2 - 10.1103/PhysRevB.99.241108
DO - 10.1103/PhysRevB.99.241108
M3 - Journal article
SN - 2469-9950
VL - 99
JO - Physical Review B (Condensed Matter and Materials Physics)
JF - Physical Review B (Condensed Matter and Materials Physics)
IS - 24
M1 - 241108
ER -