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26 April 2024
 
  » arxiv » cond-mat/0202062

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Two-dimensional few electron systems in high magnetic fields: Composite-fermion or rotating-electron-molecule approach?
Constantine Yannouleas ; Uzi Landman ;
Date 5 Feb 2002
Subject Mesoscopic Systems and Quantum Hall Effect; Strongly Correlated Electrons; Atomic Physics | cond-mat.mes-hall cond-mat.str-el hep-th nucl-th physics.atom-ph
AbstractA new class of analytic and parameter-free, strongly correlated wave functions of simple functional form is derived for few electrons in two-dimensional quantum dots under high magnetic fields. These wave functions are constructed through breaking and subsequent restoration of the circular symmetry, and they offer a natural alternative to the Laughlin and composite-fermion functions. Underlying our approach is a collectively-rotating-electron-molecule picture. The angular momenta allowed by molecular symmetry correspond to the filling-factors’ hierarchy of the fractional quantum Hall effect.
Source arXiv, cond-mat/0202062
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