A. A. Vasilchenko
Published 2022-09-12Version 1
We present a drop model for integer and fractional quantum Hall effects (FQHE). We show that the two-dimensional electron gas breaks up into regions with filling factors {\nu} = 1 and {\nu} = 0 in disk geometry, and the formation of drops with a finite number of electrons is possible. Sequences of filling fractions are constructed on the basis of experimental data. For all sequences there are initial FQHE states, which correspond to a drop with five electrons. The remaining FQHE states are composite states of a drop with five electrons and one or more pairs of electrons.
Temperature dependence of the spin polarization in the fractional quantum Hall effects
Impact of in-situ controlled disorder screening on fractional quantum Hall effects and composite-fermion transport
Theoretical basis for the unification of the integer and the fractional quantum Hall effects
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