Properties of Non-Abelian Fractional Quantum Hall States at Filling {nu}=k/r

Journal Article · Fri Dec 12 04:00:00 EST 2008 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.101.246806· OSTI ID:21179984

Bernevig, B Andrei ^[1]; Haldane, F D. M. ^[2]

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1. Princeton Center for Theoretical Science, Princeton, New Jersey 08544 (United States)
2. Department of Physics, Princeton University, Princeton, New Jersey 08544 (United States)

We compute the physical properties of non-Abelian fractional quantum Hall (FQH) states described by Jack polynomials at general filling {nu}=k/r. For r=2, these states are the Z{sub k} 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.

• OSTI ID: 21179984
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 24 Vol. 101; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANNIHILATION OPERATORS
CONFORMAL INVARIANCE
EIGENSTATES
ELECTRONS
HALL EFFECT
PHYSICAL PROPERTIES
POLYNOMIALS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
WAVE FUNCTIONS