Quantitative study of large composite-fermion systems

Journal Article · Sat Feb 01 04:00:00 EST 1997 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.55.R4895· OSTI ID:467378

Jain, J K ^[1]; Kamilla, R K ^[1]

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1. Department of Physics, State University of New York at Stony Brook, Stony Brook, New York 11794-3800 (United States)

Quantitative investigations of the fractional quantum Hall effect (FQHE) have been limited in the past to systems containing typically fewer than 10{endash}12 particles, except for the 1/(2p+1) Laughlin states. We develop a method, using the framework of the composite-fermion theory, that enables a treatment of much bigger systems and makes it possible to obtain accurate quantitative information for other incompressible states as well. After establishing the validity of this method by comparison with few-particle exact-diagonalization results, we compute the ground-state energies and transport gaps for a number of FQHE states. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 467378
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 8 Vol. 55; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COMPOSITE MODELS
ELECTRON CORRELATION
ELECTRON GAS
FERMI GAS
FERMIONS
HALL EFFECT
Landau levels
MAGNETIC FIELDS
MANY-BODY PROBLEM
QUASI PARTICLES
TWO-DIMENSIONAL CALCULATIONS
quantum Hall effect