Hierarchy of fractional quantum Hall states in multi-layer electron systems
Y J Chen; Y J Chen; CCAST (World Laboratory), PO Box 8730, Beijing 100080, and The Institute of Scientific and Technical Information of China, Beijing 100038, People's Republic of China
Журнал:
Journal of Physics: Condensed Matter
Дата:
1998-03-23
Аннотация:
It is shown that the recursion relations for the filling fractions of fractional quantum Hall states in double-layer electron systems proposed by M Greiter and I A McDonald can be expressed in a `matrix continued fraction form'. We extend this matrix continued fraction form to multi-layer electron systems and show that under some physical restrictions the matrix continued fraction form is reduced to the usual numerical continued fraction.
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