A Lower-Dimensional Remnant of Flux Attachment
Mesoscale and Nanoscale Physics
2024-12-05 v1 Quantum Gases
Strongly Correlated Electrons
Abstract
Flux attachment is a mechanism allowing electric charges to capture magnetic flux in two spatial dimensions. Fundamentally, this is a consequence of the Aharonov-Bohm effect or, in field-theoretic language, of a Chern-Simons term. This is also intimately related to a transmutation of the exchange statistics of the original charges. We show that a remnant of this mechanism is found after a dimensional reduction of a pure Chern-Simons theory and its subsequent coupling to matter.
Cite
@article{arxiv.2412.03346,
title = {A Lower-Dimensional Remnant of Flux Attachment},
author = {Gerard Valentí-Rojas and Patrik Öhberg},
journal= {arXiv preprint arXiv:2412.03346},
year = {2024}
}
Comments
21 pages, 3 figures. Comments and feedback are welcome