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- Title
Drop model of integer and fractional quantum Hall effects.
- Authors
Vasilchenko, Alexander A.
- Abstract
In this paper, 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 ν = 1 and ν = 0 in the 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.
- Subjects
QUANTUM Hall effect; TWO-dimensional electron gas
- Publication
Modern Physics Letters B, 2024, Vol 38, Issue 11, p1
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S0217984924500738