Mutual statistics, braid group, and the fractional quantum Hall effect

Journal Article · Sat Oct 10 00:00:00 EDT 1992 · International Journal of Modern Physics B; (United States)

DOI:https://doi.org/10.1142/S0217979292002425· OSTI ID:6966484

Ting, C ^[1]

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1. Defense Science Organization, 20 Science Park Drive, 0511 (Singapore)

This paper shows that the notion of mutual statistics arises naturally from the representation theory of the braid group over the multi-sheeted surface. A Hamiltonian which describes particles moving on the double-sheeted surface is proposed as a model for the bilayered fractional quantum Hall effect (FQHE) discovered recently. The authors explicitly show that the quasi-holes of the bilayered Hall fluid display fractional mutual statistics. A model for 3-dimensional FQHE using the multi-layered sample is suggested.

• OSTI ID: 6966484
• Journal Information: International Journal of Modern Physics B; (United States), Journal Name: International Journal of Modern Physics B; (United States) Vol. 6:19; ISSN IJPBEV; ISSN 0217-9792
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
665400* -- Quantum Physics Aspects of Condensed Matter-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FERMI GAS
FLUIDS
GASES
HALL EFFECT
HAMILTONIANS
HOLES
MATHEMATICAL OPERATORS
MATHEMATICS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM MECHANICS
QUANTUM OPERATORS
QUASI PARTICLES
STATISTICS
SURFACES
SYMMETRY GROUPS
THREE-DIMENSIONAL CALCULATIONS