Topology of the Quantum Hall Effect. The M\"obius strip model

TL;DR

This paper proposes a topological model using a M"obius strip to explain the Quantum Hall Effect, providing a simple way to account for fractional quantization observed in experiments.

Contribution

It introduces a novel topological approach based on the M"obius strip to model the Quantum Hall Effect and its fractional values.

Findings

M"obius strip topology explains fractional QHE

Model aligns with experimental plateau observations

Offers a simplified topological explanation for fractional quantization

Abstract

Here we conjecture on a topological model based on the M\"obius strip derived from the current distribution at the plateaus of the Quantum Hall Effect (QHE). It can account for the fractional values of the QHE in an easy way.