Composite fermions on a Haldane sphere: Quasielectron-quasihole symmetry

Journal Article · Sun Dec 01 04:00:00 EST 1996 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.54.16432· OSTI ID:404021

Yi, K S ^[1]; Sitko, P ^[1]; Khurana, A ^[1]; Quinn, J J ^[1]

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1. University of Tennessee, Knoxville, Tennessee 37969 (United States)

For a finite number of electrons confined to a spherical surface, Jain{close_quote}s composite fermion (CF) picture gives a unique relationship between the value of the degeneracy, {ital N}{sub {ital L}}=2{ital S}+1, of the lowest electron shell and the number of electrons for which a given incompressible quantum-liquid state of filling factor {nu} occurs. For states close to the Laughlin {nu}=1/3 state, two different mean-field CF descriptions can be applied. Some insight into quasielectron-quasihole symmetry and the nature of the lowest-energy sector of the energy spectrum can be obtained by comparing the different mean-field CF pictures. {copyright} {ital 1996 The American Physical Society.}

• Research Organization: Oak Ridge National Laboratory
• DOE Contract Number: AC05-96OR22464
• OSTI ID: 404021
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 23 Vol. 54; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ENERGY SPECTRA
FERMI GAS
FERMIONS
HALL EFFECT
MEAN-FIELD THEORY
QUANTUM FLUIDS
QUANTUM HALL EFFECT
SYMMETRY