Skyrmions in the Quantum Hall effect and noncommutative solitons

TL;DR

This paper explores the connection between non-commutative solitons and the quantum Hall effect, identifying classical solutions in non-commutative field theories that relate to known solutions in the integer Hall effect.

Contribution

It demonstrates the relevance of non-commutative solitons to the quantum Hall effect, providing a new perspective on classical solutions in this context.

Findings

Identified solutions in non-commutative field theories corresponding to integer Hall effect states.

Linked non-commutative solitons to known quantum Hall effect solutions without Zeeman coupling.

Reconsidered the role of solitons in the quantum Hall effect from a non-commutative field theory perspective.

Abstract

It has been recently shown that solitons are fundamental classical solutions of non-commutative field theories. We reconsider this issue from the standpoint of the Hall effect and identify some solutions with known solutions in the integer Hall effect with no Zeeman coupling.