A drop model of integer and fractional quantum Hall effects

TL;DR

This paper introduces a drop model explaining integer and fractional quantum Hall effects by modeling the electron gas as regions with specific filling factors and forming composite states based on experimental sequences.

Contribution

It proposes a novel drop model that accounts for both integer and fractional quantum Hall effects through electron drop formations and composite states.

Findings

Electron gas breaks into regions with ν=1 and ν=0.

Sequences of filling fractions are constructed from experimental data.

Initial FQHE states correspond to drops with five electrons.

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.