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Title: A First-Landau-Level Laughlin/Jain Wave Function for the Fractional Quantum Hall Effect

Abstract

We show that the introduction of a more general closed-shell 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 single-particle 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:
 [1];  [2]
  1. T-5, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
  2. Institute for Nuclear Theory, Box 351550, and Department of Physics, Box 351560, University of Washington, Seattle, Washington 98195-1550 (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 First-Landau-Level 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 First-Landau-Level 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 First-Landau-Level Laughlin/Jain Wave Function for the Fractional Quantum Hall Effect". United States. doi:10.1103/PhysRevLett.77.1568.
@article{osti_287006,
title = {A First-Landau-Level 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 closed-shell 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 single-particle 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}
}