Non-1/m fractional quantum Hall effect is a manifestation of anyon superconductivity

Journal Article · Sat Jun 01 04:00:00 EDT 1991 · International Journal of Modern Physics B; (United States)

DOI:https://doi.org/10.1142/S0217979291001644· OSTI ID:5295549

Hu, C R ^[1]

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1. Texas A and M Univ., College Station, TX (United States). Dept. of Physics

This paper reports that regarding electrons as anyons of index {alpha}{sub s} with {minus}(m + {alpha}{sub s}) flux quanta per particle, and letting the mean field of these fluxes cancel the external magnetic field B, the authors obtain the filling factor {nu} = 1/(m + {alpha}{sub s}), where m must be odd. Demanding the resulting system of anyons to exhibit anyon superconductivity, we obtain {alpha}{sub s} = {plus minus}(1 {minus} q/n) where q is odd, and n {gt} q is relatively prime to q. For q = 1 the authors recover a formula due to Jain, and resolve the mystery why, for a state with {nu} = n/(2pn {plus minus} 1) {lt} 1 he requires use of the statistical correlation of n filled Landau levels. For q = 3,5,..., we obtain the fractions 4/11, 4/13, 5/13, etc., which are missing from Jain's list. Thus this non-hierarchical approach to the non-1/m fractional quantum Hall effect has the strengths of Jain's composite-fermion approach, but not its (potential) weaknesses.

• OSTI ID: 5295549
• Journal Information: International Journal of Modern Physics B; (United States), Journal Name: International Journal of Modern Physics B; (United States) Vol. 5:10; ISSN 0217-9792; ISSN IJPBE
• Country of Publication: United States
• Language: English

Related Subjects

665411* -- Basic Superconductivity Studies-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANYONS
COMPOSITE MODELS
CORRELATION FUNCTIONS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FUNCTIONS
HALL EFFECT
LEPTONS
MAGNETIC FLUX
MATHEMATICAL MODELS
MECHANICS
PARTICLE MODELS
PHYSICAL PROPERTIES
POTENTIALS
QUANTUM MECHANICS
QUASI PARTICLES
STATISTICAL MECHANICS
SUPERCONDUCTIVITY