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

Journal Article · Thu Aug 01 04:00:00 EDT 1996 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.77.1568· OSTI ID:287006

Ginocchio, J N ^[1]; Haxton, W C ^[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)

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, Journal Name: Physical Review Letters Journal Issue: 8 Vol. 77; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ALGEBRA
CLUSTER MODEL
ELECTRON GAS
HALL EFFECT
MATHEMATICAL OPERATORS
QUANTUM HALL EFFECT
QUANTUM MECHANICS
WAVE FUNCTIONS