A FirstLandauLevel Laughlin/Jain Wave Function for the Fractional Quantum Hall Effect
Abstract
We show that the introduction of a more general closedshell operator allows one to extend Laughlin{close_quote}s wave function to account for the richer hierarchies (1/3,2/5,3/7...;1/5, 2/9,3/13,...,etc.) found experimentally. The construction identifies the special hierarchy states with condensates of correlated electron clusters. This clustering implies a singleparticle algebra within the first Landau level (LL) identical to that of multiply filled LLs in the integer quantum Hall effect. The end result is a simple generalized wave function that reproduces the results of both Laughlin and Jain, without reference to higher LLs or projection. {copyright} {ital 1996 The American Physical Society.}
 Authors:

 T5, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
 Institute for Nuclear Theory, Box 351550, and Department of Physics, Box 351560, University of Washington, Seattle, Washington 981951550 (United States)
 Publication Date:
 OSTI Identifier:
 287006
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review Letters
 Additional Journal Information:
 Journal Volume: 77; Journal Issue: 8; Other Information: PBD: Aug 1996
 Country of Publication:
 United States
 Language:
 English
 Subject:
 66 PHYSICS; HALL EFFECT; QUANTUM MECHANICS; WAVE FUNCTIONS; MATHEMATICAL OPERATORS; CLUSTER MODEL; ALGEBRA; ELECTRON GAS; QUANTUM HALL EFFECT
Citation Formats
Ginocchio, J N, and Haxton, W C. A FirstLandauLevel Laughlin/Jain Wave Function for the Fractional Quantum Hall Effect. United States: N. p., 1996.
Web. doi:10.1103/PhysRevLett.77.1568.
Ginocchio, J N, & Haxton, W C. A FirstLandauLevel Laughlin/Jain Wave Function for the Fractional Quantum Hall Effect. United States. doi:10.1103/PhysRevLett.77.1568.
Ginocchio, J N, and Haxton, W C. Thu .
"A FirstLandauLevel Laughlin/Jain Wave Function for the Fractional Quantum Hall Effect". United States. doi:10.1103/PhysRevLett.77.1568.
@article{osti_287006,
title = {A FirstLandauLevel Laughlin/Jain Wave Function for the Fractional Quantum Hall Effect},
author = {Ginocchio, J N and Haxton, W C},
abstractNote = {We show that the introduction of a more general closedshell operator allows one to extend Laughlin{close_quote}s wave function to account for the richer hierarchies (1/3,2/5,3/7...;1/5, 2/9,3/13,...,etc.) found experimentally. The construction identifies the special hierarchy states with condensates of correlated electron clusters. This clustering implies a singleparticle algebra within the first Landau level (LL) identical to that of multiply filled LLs in the integer quantum Hall effect. The end result is a simple generalized wave function that reproduces the results of both Laughlin and Jain, without reference to higher LLs or projection. {copyright} {ital 1996 The American Physical Society.}},
doi = {10.1103/PhysRevLett.77.1568},
journal = {Physical Review Letters},
number = 8,
volume = 77,
place = {United States},
year = {1996},
month = {8}
}
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