Few-body, hyperspherical treatment of the quantum Hall effect
1 Purdue University Department of Physics and Astronomy 525 Northwestern Avenue, West Lafayette, Indiana 47907-2036
2 Wolfram Research, Inc, 100 Trade Center Dr., Champaign, IL 61820
Published online: 25 March 2016
The quantum Hall effect arises from the quantum behavior of two-dimensional, strongly-interacting electrons exposed to a strong, perpendicular magnetic field [1, 2]. Conventionally treated from a many-body perspective, we instead treat the system from the few-body perspective using collective coordinates and the hyperspherical adiabatic technique developed originally for atomic systems . The grand angular momentum K from K-harmonic few-body theory, is shown to be an approximate good collective quantum number in this system, and is shown to correlate with known fractional quantum Hall (FQH) states at experimentally observed filling factors.
© Owned by the authors, published by EDP Sciences, 2016
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