Theoretical search for the nested quantum Hall effect of composite fermions

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 15, 2002, Pages 1-11

  Mandal, Sudhansu S ^a   Jain, Jainendra K ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84892417948     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.66.155302     Document Type: Article

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18. We warn the reader that the assignment of filling factor to a finite system involves physical interpretation, and therefore must be treated with caution. The relation between N and (formula presented) at filling factor (formula presented) must have the form (formula presented) where (formula presented) is of order unity, so as to produce the correct filling factor in the limit (formula presented) (formula presented) but the value of (formula presented) which is crucial for finite systems, depends on the physics of the incompressible state. In this paper, the filling factor is attributed to a finite system assuming the familiar physics that has been successful in explaining the fractions (formula presented) A different origin of incompressibility could possibly imply a different relation between N and (formula presented)
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