Fermi-hypernetted-chain study of unprojected wave functions to describe the half-filled state of the fractional quantum Hall effect

Journal Article · Tue Sep 01 04:00:00 EDT 1998 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.58.7898· OSTI ID:658497

Ciftja, O ^[1]; Fantoni, S ^[2]

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1. Ames Laboratory and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011 (United States)
2. International School for Advanced Studies, Via Beirut 2-4, I-34014, Trieste (Italy)

The Fermi hypernetted-chain theory is applied to study the half-filled state of the fractional quantum Hall effect in the thermodynamic limit. We study in detail the radial distribution function, the correlation energy, and the quasiparticle-quasihole excitation spectrum of an unprojected Fermi wave function of the form {psi}{sub {nu}=1/2}{sup Fermi}={Pi}{sub j{lt}k}{sup N}(z{sub j}{minus}z{sub k}){sup 2}thinspDet{l_brace}{phi}{sub {rvec k}}({rvec r}){r_brace}, a possible candidate to describe the half-filled state. Adopting a technique originating from nuclear physics, we compute the effective mass of the fermion excitations near the Fermi surface for this wave function. We find it to be exactly the bare mass of the electron, in accordance with the mean field approximation of not imposing the lowest Landau level constraint. Similar calculations were performed on other related wave functions, which, based on the composite fermion picture, describe the half-filled state of the electrons as a limit of infinite-filled composite fermion Landau levels. {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 658497
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 12 Vol. 58; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
EFFECTIVE MASS
ELECTRONIC STRUCTURE
FERMI LEVEL
HALL EFFECT
SEMICONDUCTOR MATERIALS
WAVE FUNCTIONS