English

A drop model of integer and fractional quantum Hall effects

Mesoscale and Nanoscale Physics 2022-09-14 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2209.05601,
  title  = {A drop model of integer and fractional quantum Hall effects},
  author = {A. A. Vasilchenko},
  journal= {arXiv preprint arXiv:2209.05601},
  year   = {2022}
}
R2 v1 2026-06-28T01:10:08.007Z