Thumbnail
Access Restriction
Open

Author Ginocchio, J. N. ♦ Haxton, W. C.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ HALL EFFECT ♦ QUANTUM MECHANICS ♦ WAVE FUNCTIONS ♦ MATHEMATICAL OPERATORS ♦ CLUSTER MODEL ♦ ALGEBRA ♦ ELECTRON GAS ♦ 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.}
ISSN 00319007
Educational Use Research
Learning Resource Type Article
Publisher Date 1996-08-01
Publisher Place United States
Journal Physical Review Letters
Volume Number 77
Issue Number 8


Open content in new tab

   Open content in new tab