A First-Landau-Level Laughlin/Jain Wave Function for the Fractional Quantum Hall Effect
Journal Article
·
· Physical Review Letters
- T-5, 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 98195-1550 (United States)
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.}
- OSTI ID:
- 287006
- Journal Information:
- Physical Review Letters, Vol. 77, Issue 8; Other Information: PBD: Aug 1996
- Country of Publication:
- United States
- Language:
- English
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