TY - JOUR
T1 - Properties of non-abelian fractional quantum hall states at filling ν=k/r
AU - Bernevig, B. Andrei
AU - Haldane, F. D.M.
PY - 2008/12/8
Y1 - 2008/12/8
N2 - We compute the physical properties of non-Abelian fractional quantum Hall (FQH) states described by Jack polynomials at general filling ν=k/r. For r=2, these states are the Zk Read-Rezayi parafermions, whereas for r>2 they represent new FQH states. The r=k+1 states, multiplied by a Vandermonde determinant, are a non-Abelian alternative construction of states at fermionic filling 2/5,3/7,4/9,.... We obtain the thermal Hall coefficient, the quantum dimensions, the electron scaling exponent, and the non-Abelian quasihole propagator. The properties of the r>2 Jack polynomials indicate they are correlators of fields of nonunitary conformal field theories (CFT), but the CFT-FQH connection fails when invoked to compute physical properties such as the quasihole propagator. The quasihole wave function, written as a coherent state representation of Jack polynomials, has an identical structure for all non-Abelian states.
AB - We compute the physical properties of non-Abelian fractional quantum Hall (FQH) states described by Jack polynomials at general filling ν=k/r. For r=2, these states are the Zk Read-Rezayi parafermions, whereas for r>2 they represent new FQH states. The r=k+1 states, multiplied by a Vandermonde determinant, are a non-Abelian alternative construction of states at fermionic filling 2/5,3/7,4/9,.... We obtain the thermal Hall coefficient, the quantum dimensions, the electron scaling exponent, and the non-Abelian quasihole propagator. The properties of the r>2 Jack polynomials indicate they are correlators of fields of nonunitary conformal field theories (CFT), but the CFT-FQH connection fails when invoked to compute physical properties such as the quasihole propagator. The quasihole wave function, written as a coherent state representation of Jack polynomials, has an identical structure for all non-Abelian states.
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U2 - 10.1103/PhysRevLett.101.246806
DO - 10.1103/PhysRevLett.101.246806
M3 - Article
C2 - 19113648
AN - SCOPUS:57749089579
SN - 0031-9007
VL - 101
JO - Physical review letters
JF - Physical review letters
IS - 24
M1 - 246806
ER -